FIELD OF THE INVENTION
[0001] The present invention is in the field of radiation physics. In particular, the present
invention relates to an efficient monochromator comprising refractive deflection means
and diffractive crystals.
RELATED PRIOR ART
[0002] To generate a monochromatic beam of x-ray photons, γ-photons or low energy neutrons,
each referred to as "particles" in the following for brevity, the physical effect
of "Bragg-reflection" or "Laue-diffraction" at a single crystal can be used. The Bragg-condition
is known as
m · λ =
2d · sin
θ, where
m is a positive or negative integer, d is the lattice spacing of the crystal,
θ is the angle between the impinging beam and the lattice plane, and λ is the wavelength
of the photon.
[0003] Note that "Laue-diffraction" is equivalent to "Bragg-reflection", except that the
diffracted beam passes through the crystal rather than being reflected at the crystal
surface. A Laue-diffraction can be regarded as a Bragg-reflection at crystal planes
that are vertical to the crystal surface.
[0004] In particular, a Laue-crystal may be placed in the beam path of a primary beam of
particles such that the Bragg-condition is fulfilled for particles of the desired
energy. The particles of the desired energy are Laue-diffracted and leave the crystal
under the diffraction angle while the remaining fraction of the beam is transmitted
without diffraction. The diffracted beam is hence spatially separated from the primary
beam and comprised of particles of a distinctive energy, i.e. it is monochromatized.
[0005] Monochromatization of a beam of particles can also be achieved in double crystal
or Laue spectrometers. This is described for a beam of γ-photons in
E.G. Kessler et al., Nucl Inst. Meth. A 457, 187 (2001). Such a Laue spectrometer is shown in Fig. 1 in two different geometries. The left
part shows the two-crystal spectrometer 10 in the non-dispersive geometry, in which
the first and second Laue-crystals 12, 14 are parallel to each other. The portion
of the incoming particle beam that satisfies the Bragg-condition with regard to angle
and wavelength, i.e. energy, is Laue-diffracted at the first Laue-crystal 12. This
means that a certain angular spread of the incoming beam will still lead to a corresponding
energy spread of the Bragg reflected beam. The remainder of the beam that does not
satisfy the Bragg-condition will simply be transmitted without diffraction by the
first Laue-crystal 12 (undiffracted transmitted beam not shown in Fig. 1). Since in
the non-dispersive geometry the first and second Laue-crystals 12, 14 are parallel
to each other, the crystal planes within the two crystals 12, 14 are parallel, too,
and consequently all wavelengths that are diffracted by the first Laue-crystal 12
will simultaneously satisfy the Bragg-condition at the second Laue-crystal 14 and
will be diffracted likewise.
[0006] In the right part of Fig. 1, however, the second Laue-crystal 14 is inclined with
regard to the first Laue-crystal 12 by twice the Bragg angle of a given wavelength
λ. This means that at the second Laue-crystal 14, only particles with the corresponding
wavelength λ will be Laue-diffracted. However, particles deviating from λ that have
been Laue diffracted by the first Laue-crystal 12 do no longer meet the Bragg-condition
at the second Laue-crystal 14 and will therefore be transmitted without diffraction
by the second Laue-crystal 14 (undiffracted transmitted beam not shown). Accordingly,
in the dispersive mode, the two-crystal spectrometer 10 acts as a monochromator, since
the particles which are Laue-diffracted by the second Laue-crystal 14 are within a
very narrow energy band. For example, the monochromatization, which is equivalent
to the relative energy width ΔE/E of a γ-beam in a Laue spectrometer in dispersive
geometry is typically 10
-6.
[0007] When the second crystal 14 is rotated stepwisely through a small angular range, the
intensity profile of the twice diffracted beam can be recorded as a function of the
rotation angle. This measured intensity profile is also referred to as "rocking curve"
due to the "rocking" movement of the crystal. Within dynamical diffraction theory,
it can be shown that for so-called perfect single crystals, the width of the rocking
curve I(Θ) is proportional to λ meaning that the intensity-angle-profile is very narrow
for large energies. Example calculations of I(Θ) for a 2.5 mm thick single crystal
of Si in [220] orientation are shown in Fig. 2 for photons of 100 keV, 500 keV and
1000 keV. As can be seen, the width of theses curves decreases with energy and can
be as small as a few tens of nanoradiants (nrad).
[0008] The width of I(Θ) can be called the "acceptance witdh" of the single crystal, since
it defines an angular range for particles of the given wavelength λ that will be "accepted"
by the crystal in the sense that they are Laue-diffracted thereby. Conversely, this
means that radiation impinging at an angle outside this acceptance range will not
be Laue-diffracted by the first Laue-crystal 12, even if it has the desired energy
(the appropriate wavelength λ) and will hence be lost for the monochromator of Fig.
1. For example, the best collimated γ-beams typically have a divergence in the range
of tens of microrad, which means that actually the biggest part of the impinging γ-beam
will fall outside the angular acceptance range and hence will be lost for the monochromator,
resulting in a very low efficiency.
SUMMARY OF THE INVENTION
[0009] The problem underlying the invention is to provide a monochromator of improved efficiency
for monochromatizing a beam of γ-photons, x-ray photons having an energy higher than
10 keV and neutrons of an energy below 1 eV. This problem is solved by the monochromator
of claim 1. Preferred embodiments are defined in the dependent claims.
[0010] The monochromator according to the present invention comprises a plurality of pairs
of Laue-crystals, each pair of Laue-crystals having
- a first Laue-crystal for diffracting a portion of an incoming beam that meets the
Bragg-condition and transmitting the remainder of the incoming beam without diffraction,
and
- a second Laue-crystal arranged with respect to the first Laue-crystal such as to allow
for a further Laue-diffraction of the beam portion that was Laue-diffracted at the
first Laue-crystal of said pair of Laue-crystals.
[0011] Herein, the first Laue-crystals of all pairs of Laue-crystals are parallel to each
other and the second Laue-crystals of all pairs of Laue-crystals are parallel to each
other as well. The first Laue-crystals of the pairs of Laue-crystals are arranged
in series with refractive deflection means arranged inbetween such that the part of
the beam that is transmitted without diffraction by one of said first Laue-crystals
is deflected prior to impinging on the next first Laue-crystal in said series of first
Laue-crystals. Accordingly, the part of the beam that is transmitted without diffraction
by one of the first Laue-crystals ― because it may be outside the angular acceptance
range of said first Laue-crystal ― is deflected prior to impinging on the next first
Laue-crystal in said series. This deflection will lead to a shift of the transmitted
undiffracted beam in angular space before impinging on the next first Laue-crystal.
Since all first Laue-crystals are parallel to each other, a portion of the beam that
was transmitted without diffraction by the previous first Laue-crystal will now fall
into the angle acceptance range and will be Laue-diffracted by the next first Laue-crystal
in the series and ― after further Laue-diffraction at the corresponding second Laue-crystal
of the pair ― contribute to the monochromatized beam. Accordingly, for the same incident
beam, the efficiency of the monochromator is (except for absorption losses) increased
over that of an ordinary Laue spectrometer by a factor corresponding to the number
of Laue-crystal pairs.
[0012] Preferably, the refractive deflection means arranged between consecutive first Laue-crystals
in said series of first Laue-crystals are adapted to deflect the beam by an angle
α that is larger than but still reasonably close the angular acceptance width of the
first Laue-crystal for the desired particle energy. In particular, the angle α is
given by 5 nrad < α < 200 nrad, preferably 10 nrad < α < 100 nrad.
[0013] In a preferred embodiment, the number of pairs of Laue-crystals employed in the monochromator
is at least 5, preferably at least 10 and more preferably at least 50. The higher
the number of pairs of Laue-crystals, the larger is the efficiency of the monochromator.
In practice, one will have to find a suitable compromise between optimum efficiency
and structural effort.
[0014] Preferably, the first and second Laue-crystals of each pair of Laue-crystals are
either parallel to each other, which corresponds to the non-dispersive mode, or inclined
with respect to each other such as to allow for an energy selection by two consecutive
Laue diffractions, and in particular inclined by twice the Bragg-angle of the desired
wavelength. This corresponds to the dispersive geometry. In practice, the dispersive
geometry is preferably used for monochromatization, while the non-dispersive mode
may be used to align all optical elements, in particular the deflection means. In
a particularly preferred embodiment, the first and second Laue-crystals are shiftable
between the two configurations. This will for example allow precisely adjusting the
refractive deflection elements in the non-dispersive (parallel) mode and then decreasing
the energy width by shifting the first and second Laue-crystals with respect to each
other to the dispersive geometry.
[0015] In a preferred embodiment, all first Laue-crystals are part of one fixed first unit,
and all second Laue-crystals are part of one fixed second unit. Herein, the first
and second units are preferably each made from a single crystal block, as this ensures
that all first crystals and all second crystals are mutually parallel with each other.
[0016] In a preferred embodiment, both blocks are taken from the same ingot, which allows
for a perfect match of the first and second Laue-crystals. The Laue-crystals may in
particular consist of Si and/or Ge. Also, preferably a collimating lens, lens stack
or lens array is arranged upstream of the monochromator such as to parallelize or
at least reduce the divergence of the beam prior to entering the monochromator. This
way, the efficiency of the monochromator can be dramatically increased. Herein, collimating
lenses, lens stacks or lens arrays may be employed.
[0017] From a conceptional point of view, it is easiest to think of the monochromator as
a series of completely separate Laue-spectrometers, where each beam transmitted without
diffraction by the first Laue-crystal of a given Laue-spectrometer is deflected and
then inputted into the first Laue-crystal of the following Laue-spectrometer. However,
since the angle between beams transmitted undiffracted by and Laue-diffracted by a
Laue-crystal will be very small, a spatial separation of the pairs of Laue-crystals
will in practice be difficult to achieve. Instead, in practice the geometry will rather
be such that a beam that has already been Laue-diffracted by a first (second) Laue-crystal
of one pair passes a first (second) Laue-crystal of another pair of Laue-crystals,
becauseit is difficult to keep these Laue-crystals of the further pair out of the
way of the diffracted beam. However, since all first (second) Laue-crystals are parallel
to each other, this would imply that the already Laue-diffracted beam is Laue-diffracted
at the fist (second) Laue-crystal of this other pair of Laue-crystals again. According
to an embodiment of the invention, this is prevented by ensuring that a beam that
has already been Laue-diffracted by a first (second) Laue-crystal of one pair is deflected
using a refractive optical element prior to passing a first (second) Laue-crystal
of another pair of Laue-crystals. This way, it can be ensured that the beam is diffracted
only once at a first Laue-crystal and once at a second Laue-crystal forming the abovementioned
pair of Laue-crystals.
[0018] In one embodiment, the refractive optical elements arranged between two adjacent
first Laue-crystals for deflecting a beam transmitted without diffraction by the previous
first Laue-crystal in said series are arranged to also deflect the beam that is Laue-diffracted
by said previous first Laue-crystal. Accordingly, this way it can be ensured that
the Laue-diffracted beam is not Laue-diffracted at any further first Laue-crystal
in said series, because after deflection, i.e. an angle change, it no longer obeys
the Bragg-condition.
[0019] In a preferred embodiment, the first and second Laue-crystals are arranged in the
monochromator such that the first and second Laue-crystals of each pair are adjacent
to each other.
[0020] In an alternative embodiment, the first and second Laue-crystals are arranged in
the monochromator such that all first Laue-crystals are arranged in a series and all
second Laue-crystals are arranged in a further series that is arranged downstream
of the series of first Laue-crystals with regard to the propagation direction of the
beam. Further, first refractive deflection means are placed between each two neighbouring
first Laue-crystals, and second refractive deflection means are placed between each
two neighbouring second Laue-crystals. Herein, the second refractive deflection means
in the n
th gap between neighbouring second Laue-crystals when counted in opposite propagation
direction of the beam is adapted to compensate for the deflection provided by the
first refractive deflection means in the n
th gap between neighbouring first Laue-crystals when counted in propagation direction
of the beam. With this geometry, each beam that is Laue-diffracted at any first Laue-crystal
may pass through all downstream first and second Laue-crystals while it is still ensured
that it is only Laue-diffracted by the corresponding second Laue-crystal of the pair.
As will be explained in more detail below with reference to a preferred embodiment,
in this geometry, the most upstream one of the first Laue-crystals and the most downstream
one of the second Laue-crystals form a pair, the second most upstream one of the first
Laue-crystals and the second most downstream one of the second Laue-crystals form
a further pair and so on.
[0021] As explained above, refractive deflection means are employed in preferred embodiments
of the monochromator to ensure that at a distinctive Laue-crystal the Bragg-condition
is or is not fulfilled. Different refractive optical elements, for example a collimating
lens, may be arranged upstream of monochromator for a further increase of efficiency
as mentioned above. While it is known to manipulate x-ray beams using refractive optical
elements, it is so far generally accepted that at photon energies above say 200 keV,
this is no longer possible. The reason is that according to the present understanding
in the art, the index of refraction, which even in the x-ray regime is already very
close to 1, rapidly converges even closer to 1 with increasing energy. The index of
refraction n is usually written as n = 1 + δ + iβ, where δ is the deviation of the
real part of n from unity. In the x-ray regime, the physical effect giving rise to
δ is the virtual photo effect (Rayleigh scattering), which is therefore also referred
to as "δ
photo" in the following. In the x-ray regime, δ
photo is negative, i.e. the index of refraction n is smaller than 1. A typical value of
δ
photo at 80 keV and aluminum is -0.8 x 10
-7. Accordingly, the person skilled in the art would not have believed that it would
be possible to use the monochromator design according to one of the above embodiments
for energies well above say 200 keV, because according to common wisdom, a sufficient
refractive deflection as required in the monochromator at these energies would have
been considered impossible.
[0022] However, according to the priority document
EP 11 188 251 of the present invention, which is hereby included by reference, the inventors have
found in very precise and quite involved experiments that surprisingly, for energies
beyond some threshold, the value of δ increases again and in fact acquires a positive
value. In other words, for photon energies above said threshold, the index of refraction
is > 1 again, and the value of δ, i.e. the difference of n from unity, is large enough
to allow for the design of useful refractive optical elements. For Si, experiments
demonstrate that at about 700 keV, δ becomes positive and in fact acquires a value
that is sufficiently large to allow for the design of useful refractive optical elements.
[0023] Further, the inventors have been able to attribute the unexpected positive δ beyond
700 keV (for Si) to a virtual pair creation, which has also been referred to as "Delbrück
scattering" in the literature. This result is surprising as well, since in earlier
works by J. S. Toll und J. A. Wheeler, it has been predicted that for energies of
1 MeV the contribution of the virtual pair creation to the absolute value of δ was
about a factor 10
3 smaller than the contribution due to the virtual photo effect (Rayleigh scattering)
and should hence have a negligible effect on the index of refraction (see
J.S. Toll; The Dispersion Relation for Light and the Applications involving Electron
Pairs, Princeton University (1952) unpublished).
[0024] The pivotal result of the findings of the inventors is hence that at energies beyond
some threshold of say a few hundred keV, the index of refraction will sufficiently
deviate from unity such as to allow for refractive optical elements that can be used
for shaping or deflecting a γ-beam. This means that the monochromator according to
one of the above embodiments can even be used in the γ-regime, because contrary to
common wisdom, refractive optical elements are possible even at such high energies.
[0025] When using the one or more refractive optical elements in the γ-regime, the use employs
the fact that the index of refraction n of the optical material has a real part >
1, or, in other words, that δ > 0. This means that the design of the optical elements
will be different from refractive x-ray optical elements and conceptually in fact
more similar to ordinary light optics. For example, when using refractive optical
elements for γ-photons having an energy of more than 700 keV, a focusing lens would
have a convex shape, whereas an x-ray focusing lens has a concave shape. Suitable
novel means for collimation and deflection which may be used with the monochromator
in an embodiment for specific use in the γ-regime will be described below.
[0026] In a preferred embodiment, the refractive deflection means for deflecting the beam
is comprised by an array of prisms, wherein the array of prisms comprises at least
one series arrangement of prisms allowing for being consecutively passed by a beam.
By arranging a plurality of prisms in series, the minute deflections occasioned by
each individual prism add up to provide for a considerable total deflection by the
array of prisms as a whole.
[0027] Preferably, a number N of prisms are arranged in series, such as to be consecutively
passed by a beam. Herein, N may be ≥ 2, preferably ≥ 10 and more preferably ≥ 100.
The suitable number of N also depends on the angle of the prism. However, if desired,
the number of prisms arranged in series can be easily increased to hundreds or even
thousands, in view of the comparatively small absorption of γ-radiation in matter.
[0028] Preferably, at least the majority of prisms in the array of prisms has a wedge-shape
with a base surface having a triangular shape. Herein, the height of the triangular
shape is preferably smaller than 200 µm, preferably smaller than 50 µm. The base surface
may further have an isosceles triangle shape, wherein the angle γ between the two
equal sides of said isosceles triangle is preferably between 5° and 120°, more preferably
between 15° and 90°.
[0029] In a preferred embodiment, the array of prisms may also comprise a number M of series
arrangements of prisms arranged in parallel, wherein M ≥ 2, preferably M ≥ 4 and more
preferably M ≥ 10. This allows deflecting a large diameter beam with a suitably large
number of series arrangements of comparatively small prisms arranged in parallel.
[0030] The array of prisms is preferably at least in part made from one or more wafers,
in particular Si and/or Ge wafers, in which the prisms are formed by etching. Herein,
the one or more wafers has/have a thickness between 20 µm and 200 µm, preferably between
50 µm and 100 µm, and the array of prisms may at least in part be made from a stack
of a plurality of identically etched wafers wherein said wafers of said stack are
preferably grown or fused together such as to yield a total thickness of the stack
of 5 mm or more, preferably 8 mm or more.
[0031] In a preferred embodiment for operation in the γ-regime, the above mentioned collimating
lens to reduce the divergence of the beam prior to entering the monochromator has
at least one, preferably two lens surfaces having a convex shape in two dimensions,
and in particular, a rotation-ellipsoid shape. Such lens is referred to as a 2-D-lens,
as it can collimate a γ-beam in two dimensions. In a preferred embodiment, the convex
lens is made from an embossed foil comprising one of Be, Al, Ni, Ta or Th as its main
constituents. By embossing the foil, two-dimensional lenses can be manufactured easily
and efficiently and with great precision of about 5 nm. Alternatively, such 2-D-γ-lens
could also be made by micromachining.
[0032] Preferably, the tangential radius R at the apex of the lens is < 2000 µm, preferably
< 1000 µm and more preferably between 5 µm and 500 µm. However, for contracted γ-beams,
even smaller radii down to 1µm can be used.
[0033] Preferably, a number N of said convex lenses are arranged in series, for example
stacked one behind the other in a lens holder. Herein, N is preferably between 2 and
10000, more preferably between 10 and 200. By stacking a large number of such convex
lenses in series, a moderate focal length of the total stack of lenses can be achieved
in spite of the rather small value of δ, thereby allowing for an efficient collimation
of γ-beams. Since the absorption of γ-radiation is much less than that of x-ray radiation,
the number of optical elements that can be arranged in series such as to accumulate
the refractive effect of the individual refractive optical elements but still at a
moderate total absorption is much higher for γ-radiation than for x-ray radiation.
[0034] Preferably, the body of said lens has a hole for ventilation, to thereby prevent
the formation of air cushions and to avoid bending of the lens when mounting the lens
array. The shape of the hole is not limited, as long as it allows for sufficient ventilation.
[0035] In a preferred embodiment, the divergence of the γ-beam prior to entering the monochromator
is reduced by an array of lenses, wherein said array of lenses comprises at least
one series arrangement of lenses allowing for being consecutively passed by a γ-beam,
and wherein at least the majority of the lenses has at least one, preferably two lens
surfaces having a convex shape in at least one dimension. For example, the "series
arrangement" of lenses could be an arrangement of lenses along their optical axes.
The term "lens surface" refers to the "entrance surface" and "exit surface" of the
lens.
[0036] Herein, the mean radius of curvature of the convex shape or the tangential radius
at the apex of the convex shape is preferably between 1 µm and 500 µm, preferably
between 10 µm and 80 µm. Note in this regard that for manufacturing purposes, the
convex lens surface may have a conical shape (in case of a 2-D-lens) or a triangular
prism-like shape (in case of a 1-D-lens), in which case no tangential radius at the
apex of the convex shape is defmed, but a prism angle instead. In this case, we refer
to the mean radius of curvature of the convex shape, which is defined as the radius
of an arch or a sphere containing the apex and an edge portion of the lens surface.
[0037] Preferably, in the series arrangement, a number N of lenses are arranged in series
such as to be consecutively passed by a γ-beam, wherein N ≥ 10, preferably N ≥ 100
and more preferably, N ≥ 300. In some applications N may even be ≥ 1000. As before,
by arranging a large number of lenses in series, the refractive power of the individual
lenses adds up and the focal length of the total array is decreased.
[0038] Preferably, the array of lenses comprises a number M of series arrangements of lenses
arranged in parallel, wherein M ≥ 2, preferably M ≥ 4 and more preferably M ≥ 10.
By providing a plurality of series arrangements of lenses in parallel, it is possible
to shape a γ-beam having a beam diameter that is considerably larger than the diameter
of each individual lens. Note in this regard that due to the comparatively small radius
of curvature of the lenses, the diameter of each individual lens will likewise be
comparatively small. However, by arranging a plurality of series arrangements of lenses
in parallel, an arbitrarily large beam cross section can be split up into a plurality
of individual beamlets that are independently focused, collimated or shaped in another
suitable way. The individually focused beamlets can then be further shaped, for example
be deflected to be focused on a single spot or area, as is explained in more detail
below.
[0039] In a preferred embodiment, the lens array is at least in part made from one or more
wafers, in particular Si and/or Ge wafers, in which the lens surfaces are formed by
etching. As is shown in detail in the experimental section below, both Si and Ge provide
a sufficient index of refraction to construct useful refractive optical elements therefrom.
While there are elements that would actually lead to a larger index of refraction,
the advantage of using Si and/or Ge is that one can resort to well-established lithography
and etching technology, in particular electron beam lithography, to efficiently and
precisely manufacture miniature structures, thereby allowing to manufacture arrays
of very large numbers of lenses with a very small radius of curvature in a cost efficient
way. Also, due to this manufacturing, the individual lenses can be aligned very precisely.
[0040] Preferably, the one or more wafers has/have a thickness between 20 µm and 200 µm,
preferably between 50 µm and 100 µm. If the thickness is below 100 µm, it is possible
to etch precise vertical walls constituting the lens surfaces, for example by ion
beam deep etching or the like. Note that alternative manufacturing methods, including
improved methods that will become available in the future are also possible.
[0041] In a preferred embodiment, the lens array is at least in part made from a stack of
a plurality of identically etched wafers, wherein the wafers of the stack are preferably
grown or fused together. This allows obtaining a total thickness of the stack of wafers
of for example 5 mm or more, preferably 8 mm or more, thereby allowing to shape a
γ-beam having a corresponding beam width. If desired, even larger stacks of identically
etched wafers can be formed.
[0042] Owing to the vertical etching technique, the lens surfaces have a convex shape only
in one dimension, i.e. are 1-D lenses only. This means that the lens array can only
focus a γ-beam in the plane of the wafer but not in a plane perpendicular to the wafer
plane. However, in a preferred embodiment, the γ-beam is focused or collimated by
two arrays of lenses according to one of the embodiments described above, which are
arranged in series and are oriented with respect to each other such that each of the
two lens arrays focuses or collimates a γ-beam within different planes, such as two
perpendicular planes.
SHORT DESCRIPTION OF THE FIGURES
[0043]
- Fig. 1
- shows a schematic view of a double crystal spectrometer in the non-dispersive and
dispersive mode.
- Fig. 2
- shows examples of rocking curves at energies of 100 keV, 500keV and 1000 keV for a
2.5 mm Si crystal.
- Fig. 3
- is a schematic representation of a monochromator according to one embodiment of the
invention.
- Fig. 4
- is a series of diagrams showing intensity-angle profiles of a beam in various places
within the monochromator of Fig. 3.
- Fig. 5
- is a schematic angle-energy diagram illustrating the operation of a monochromator
according to an embodiment of the invention.
- Fig. 6
- is a schematic sectional view of a monochromator according to a further embodiment
of the invention.
- Fig. 7
- is a schematic sectional view of a further embodiment of the monochromator of the
invention.
- Fig. 8
- is a schematic perspective view showing one of the crystal units of the monochromator
of Fig. 7.
- Fig. 9 (a) and (b)
- show a plan view and a perspective view of a wedge array according to an embodiment
of the present invention.
- Fig. 10(a) and (b)
- show a cross sectional view and a perspective view of a 2-D lens according to an embodiment
of the invention.
- Fig. 11 (a) and (b)
- show a plan view and a perspective view of a lens array according to an embodiment
of the invention.
DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0044] For the purposes of promoting an understanding of the principles of the invention,
reference will now be made to the preferred embodiments illustrated in the drawings
and specific language will be used to describe the same. It will nevertheless be understood
that no limitation of the scope of the invention is thereby intended, such alterations
and further modifications in the illustrated devices and methods and such further
applications of the principles of the invention as illustrated therein being contemplated
as would normally occur now or in the future to one skilled in the art to which the
invention relates.
[0045] Fig. 3 is a schematic representation of a monochromator 16 according to an embodiment
of the present invention. The monochromator 16 comprises three pairs of Laue-crystals,
18a/18b, 20a/20a, 22a/22b which in combination each form a two-crystal spectrometer
10 in the dispersive geometry as shown on the right hand side of Fig. 1. All the first
Laue-crystals 18a, 20a, 22a of all pairs of Laue-crystals 18a/18b, 20a/20a, 22a/22b
are parallel to each other. Likewise, all the second Laue-crystals 18b, 20b, 22b of
all pairs of Laue-crystals 18a/18b, 20a/20a, 22a/22b are parallel to each other. The
first Laue-crystals 18a, 20a, 22a of the pairs of Laue-crystals 18a/18b, 20a/20a,
22a/22b are arranged in series with refractive deflection means 24 arranged inbetween
neighbouring first Laue-crystals 18a, 20a, 22a such that the part of the beam that
is transmitted without diffraction by one of the first Laue-crystals 18a, 20a is deflected
prior to impinging on the next first Laue-crystal 20a, 22a in the series. While the
refractive deflection means 24 is symbolically represented by a wedge prism 24 in
Fig. 3, it is understood that in practice the wedge arrays as described for example
further below with reference to Fig. 9 will be employed.
[0046] Next, the function of the monochromator 16 of Fig. 3 is explained with reference
to Fig. 4. Panel A of Fig. 4 shows the intensity-angle profile of the incoming beam
impinging on the first Laue-crystal 18a of the first pair of Laue-crystals 18a/18b.
Only the portion of the beam that fulfils the Bragg-condition with respect to the
first crystal 18a will be Laue-diffracted at the first Laue-crystal 18a. However,
most of the beam will actually not meet the Bragg-condition and hence be transmitted
without diffraction through the first crystal 18a of the first pair of Laue-crystals
18a/18b. This is indeed seen from panel B of Fig. 4, which shows the intensity-angle
profile at location Ⓑ of Fig. 3, i.e. the intensity-angle profile of the beam that
was transmitted without diffraction through the first Laue-crystal 18a. As is seen
in panel B of Fig. 4, a small angular band of the intensity is missing, corresponding
to the narrow angular band that has been Laue-diffracted by the first Laue-crystal
18a.
[0047] Next, the part of the beam transmitted without diffraction by the first Laue-crystal
18a passes the refractive deflection means 24. Panel C of Fig. 4 shows the intensity-angle
profile at position © just behind the refractive deflection means 24. As is seen from
panel C of Fig. 4, the shape of the intensity-angle profile has not changed, but it
has been shifted in angle space due to the refractive deflection means 24. Next, the
beam with the shifted intensity-angle profile impinges onto the first Laue-crystal
20a of the second pair of Laue-crystals 20a/20b. Due to the angular shift of the intensity
profile, the beam now contains a portion obeying the Bragg-condition with regard to
angle and energy again, allowing for a further Laue-diffraction at the first Laue-crystal
20a of the second pair of Laue-crystals 20a/20b. Note in this regard that since all
first Laue-crystals 18a, 20a, 22a of each pair of Laue-crystals 18a/18b, 20a/20b,
22a/22b are parallel to each other, the angular acceptance range for Laue-diffraction
is always the same. However, due to deflection by the refractive deflection means
24, a portion of the beam energy that was outside the acceptance range of the previous
first Laue-crystal (in this case 18a) and was hence transmitted without diffraction
may now be shifted into the acceptance range and will be Laue-diffracted (in this
case at 20a).
[0048] This is seen from panel D of Fig. 4, which shows the intensity-angle profile at location
Ⓓ right behind the first Laue-crystal 20a of the second pair of Laue-crystals 20a/20b.
As is seen from panel D of Fig. 4, a second angular band is missing in the intensity
profile of the transmitted undiffracted beam, which corresponds to the portion of
the beam that has been Laue-diffracted at the first Laue-crystal 20a of the second
pair of Laue-crystals 20a/20b.
[0049] This procedure can be repeated with many pairs of Laue-crystals, where in each case
the part of the beam that is transmitted without diffraction by the previous first
Laue-crystal is deflected prior to impinging on the next first Laue-crystal in the
series. Since only the Laue-diffracted portion of the beam adds to the output of the
monochromator 16, it is seen that the efficiency of the monochromator 16 is thereby
increased. When neglecting the losses within the multiple pairs of Laue-crystals and
the refractive deflection means, the efficiency is generally proportional to the number
of pairs of Laue-crystals.Herein, it is advantageous for γ-beams that the absorption
of γ-rays in matter is very low compared for example to the absorption of x-rays.
[0050] The efficiency increase is further illustrated with reference to Fig. 5 which schematically
shows the energy and angular distribution of the beam entering the monochromator 16.
If only a single pair of Laue-crystals was used, only a small section of the angle-energy
range of the impinging beam will be Laue-diffracted, which is schematically indicated
by the small square 26 in Fig. 5. Namely, the small area 26 corresponds to the part
of the angle-energy distribution that satisfies the Bragg-condition at the first Laue-crystal
18a, while the rest of the beam is transmitted without diffraction by the first Laue-crystal
18a and would be lost in an ordinary double-crystal spectrometer. However, by consecutively
deflecting the beam transmitted without diffraction by the previous first Laue-crystal
18a, 20a, 22a, generally the full band 28 of desired energies can be consecutively
harvested from the beam, thereby increasing the efficiency of the monochromator 16.
[0051] Note that in the illustration of Fig. 3, the deflection of the beam by the refractive
deflection means 24 has not been shown. The reason is that the angular shift of the
intensity profile that is needed to "refill" the angular acceptance range is very
small, since the angular acceptance range is very narrow. In principle, it is sufficient
to provide for a shift that is slightly larger than the width of the acceptance range.
[0052] While the geometry of the monochromator 16 of Fig. 3 is particularly useful for explaining
the inventive concept underlying the monochromator of the present invention, with
regard to the practical implementation it is not the currently preferred embodiment.
Note in this regard that the Bragg-angles of the Laue-diffraction have been illustrated
extremely exaggerated in Fig. 3. In reality, the angular split between the undiffracted
transmitted and the Laue-diffracted beams in practice is very small. Accordingly,
while in Fig. 3 a beam that has already been Laue-diffracted by the first Laue-crystal,
such as crystal 18a, avoids any further first Laue-crystal downstream thereof (such
as Laue-crystal 20a), in view of the small angular separation between undiffracted
transmitted and diffracted beams this may be difficult to achieve. Likewise, in the
geometry of Fig. 3, the beam that is Laue-diffracted at the second Laue-crystal 18b
of the first pair of Laue-crystals 18a/18b does not pass through the second Laue-crystal
20b of the second pair of Laue-crystals 20a/20b. However, if this was the case, then
the beam diffracted by the second Laue-crystal 18b would be Laue-diffracted at the
second Laue-crystal 20b again, which is not desired. Instead, it is intended that
in the monochromator 16, each beam of the desired energy is Laue-diffracted exactly
once at a first Laue-crystal 18a, 20a, 22a and once at a corresponding second Laue-crystal
18b, 20b, 22b. This can indeed be achieved even if the Laue-diffracted beam passes
through multiple further Laue-crystals of the same kind, if it is ensured that a beam
that has already been Laue-diffracted by a first (second) Laue-crystal of one pair
of Laue-crystals is deflected using refractive deflection means prior to passing a
first (second) Laue-crystal of another pair of Laue-crystals. Namely, due to the angle
change in the deflection, the already diffracted beam does no longer obey the Bragg-condition
if passing a Laue-crystal of the same kind (first or second) later on and hence will
not be Laue-diffracted again.
[0053] An example of such an arrangement is shown in the monochromator 30 of Fig. 6. In
Fig. 6, again three pairs of Laue-crystals 18a/18b, 20a/20b, 22a/22b and refractive
deflection means 24 are shown. In the embodiment of Fig. 6, all first Laue-crystals
18a, 20a, 22a are part of a (fixed) first unit 32 that is made from a single crystal
block. Likewise, all second Laue-crystals 18b, 20b and 22b are part of one fixed second
unit 34 and are also made from a single crystal block. This way, it is ensured that
all first Laue-crystals 18a, 20a, 22a and all second Laue-crystals 18b, 20b, 22b are
parallel with each other, respectively. Preferably, both units 32 and 34 are taken
from the same ingot, so that the lattice structures ideally match.
[0054] In the monochromator 30 of Fig. 6, the refractive deflection means 24 arranged between
two adjacent first Laue-crystals 18a/20a, 20a/22a for deflecting a beam transmitted
undiffracted by the previous first Laue-crystals 18a, 20a in the series is arranged
to also deflect the beam that is Laue-diffracted by the previous first Laue-crystal
18a, 20a. This way, it is avoided that a beam that has been Laue-diffracted at one
of the first Laue-crystals 18a, 20a is diffracted at another first Laue-crystal 20a,
22a in the monochromator 30 again. Likewise, the geometry of the monochromator 30
ensures that a beam that has been Laue-diffracted at one of the second Laue-crystals
18b, 20b is deflected once before passing another second Laue-crystal 20b, 22b, thereby
avoiding a further Laue-diffraction at a second Laue-crystal.
[0055] Note that in the monochromator 30 of Fig. 6, the tilt angle between the first Laue-crystals
18a, 20a, 22a and the second Laue-crystals 18b, 20b, 22b does not correspond to twice
the Bragg-angle, since the angular shift of the refractive deflection means 24 needs
to be taken into account.
[0056] Further, note that the beams that are Laue-diffracted at the plural second Laue-crystals
18b, 20b, 22b diverge when leaving the monochromator 30, since they have passed different
numbers of refractive deflection means 24. However, these individual beams extracted
from the monochromator 30 can be focused to a single spot using an appropriate lens
system.
[0057] In Fig. 7, yet a further monochromator 36 is shown, which has the currently most
preferred geometry. The monochromator 36 also comprises two units 32, 34, where the
first unit 32 contains three first Laue-crystals 18a, 20a, 22a and the second unit
34 contains three second Laue-crystals 18b, 20b, 22b. Note that in the monochromator
36, the first and second units 32, 34 are arranged in series, while in the monochromator
30 of Fig. 6, they were arranged in an interleaved relationship. That is to say, in
the monochromator 36 of Fig. 7, all first Laue-crystals 18a, 20a, 22a are arranged
in a series and all second Laue-crystals 18b, 20b, 22b are arranged in a further series
that is arranged downstream of the series of first Laue-crystals 18a, 20a, 22a with
regard to the propagation direction of the beam. Also, from a functional point of
view, the order of the second crystals 18b, 20b, 22b in the second unit 34 is reversed
in the sense that the most upstream first Laue-crystal 18a of the first unit 32 forms
a Laue-crystal pair with the most downstream second crystal 18b of the second unit
34 and so on.
[0058] Refractive deflection means 24 are placed between each two neighbouring first Laue-crystals
18a, 20a, 22a of the first unit 32, in order to provide for the desired angular shift.
Further refractive deflection means 38 are placed between each two neighbouring second
Laue-crystals 18b, 20b, 22b of the second unit 34. Herein, the further refractive
deflection means 38 compensate the effects of the refractive deflection means 24 arranged
in the first unit 32. For example, the refractive deflection means 24 and 38 could
be identical wedge arrays similar to those shown in Fig. 9 but with reversed orientation,
as is symbolically shown in Fig. 7.
[0059] However, it is not necessary that all the refractive deflection means 24, 38 in the
gaps between adjacent Laue-crystals are identical. Instead, it is sufficient that
the reflection means 38 in the n
th gap between neighbouring second Laue-crystals 18b, 20b, 22b when counted in opposite
propagation direction of the beam is adapted to compensate for the deflection provided
by the deflection means 24 in the n
th gap between neighbouring first Laue-crystals 18a, 20a, 22a when counted in propagation
direction of the beam.
[0060] Note that with the geometry of Fig. 7, generally all undiffracted transmitted or
diffracted beams may pass through all Laue-crystals 18a/b, 20a/b, 22a/b of both units
32, 34 and all refractive deflection means 24, 38, while still ensuring that each
beam portion of the desired energy is only Laue-diffracted by exactly one pair of
the first and second Laue-crystals 18a/b, 20a/b, 22a/b.
[0061] The efficiency of each of the monochromators 16, 30 and 36 is further increased if
the inherently diverging beam is made less diverging or even parallelized prior to
entering the monochromator 16, 30, 36. For this, the collimation lenses, lens stacks
or lens arrays discussed below with reference to Figs. 10, 11 can be ideally used.
Note in this regard that a focusing lens acts as a collimation lens if the source
of the diverging beam is placed in the focal point of the lens.
[0062] In Fig. 8, a schematic perspective view of a Laue-crystal unit 40 is shown, that
could be used as one of the units 32 or 34 of Fig. 7. The unit shows three Laue-crystals
18, 20, 22 which are made from one ingot. Further shown are the refractive deflection
means 24, which are formed by wedge arrays 24 in the present example. Note that Fig.
8 is also highly schematic and not drawn to scale. Further, the wedge arrays 24 can
be adjusted with respect to each other by means of a flexure cut 42 and a piezo actuator
44. By controlling the piezo actuator 44, the relative orientation of the wedge arrays
24 can therefore be adjusted such as to tune the monochromator 36.
[0063] In Fig. 9(a) a plan view and in Fig. 9(b) a perspective view of an array 46 of triangular
prisms 48 is shown which may be used as the aforementioned refractive deflection means
24, 38. The triangular prisms 48 have an isosceles triangle shape, wherein the height
(h) of the triangle shape is smaller than 200 µm, preferably even smaller than 100
µm and more preferably even smaller than 50 µm, as miniaturizing allows for increasing
the number of prisms 48 to accommodate in the array and hence for increasing the total
refractory power. The prisms 48 are also referred to as "wedges" or "microwedges"
in the following.
[0064] The wedge array 46 of Fig. 9 is etched from a semiconductor wafer, in particular
Si and/or Ge. Accordingly, the thickness of the wedges of Fig. 9 corresponds to the
thickness of the wafer, which is typically between 20 µm and 200 µm. A plurality of
identical wedge arrays 46 can be stacked on top of each other, to thereby produce
a thicker wedge array 46 having a thickness of several millimetres or even beyond
a centimeter.
[0065] The wedge array 46 of Fig. 9 is comprised of a number M of series arrangements 50a,
50b, 50c of wedges 48 that are arranged in parallel, where the number M can again
be chosen as desired. Further, each series arrangement 50a, 50b, 50c of wedges 48
contains a number N of wedges 48 arranged in series such as to be consecutively passed
by a beam. Herein, the number N will depend on the total deflection angle that is
intended. From a manufacturing point of view, hundreds of or even a thousand wedges
48 can be easily provided in each arrangement of prisms 50a, 50b, 50c.
[0066] In Fig. 10, a cross section (Fig. 10(a)) and a perspective view (Fig. 10(b)) of a
2-D focusing γ-lens 52 according to an embodiment of the invention is shown. The γ-lens
52 is "two-dimensional" in the sense that it is optically active in two dimensions,
meaning that the lens surfaces 54, 56 are curved in two orthogonal sections A-A (shown
in Fig. 10(a) and B-B (not shown). This means that a γ-beam will be focused in two
dimensions, such as to converge to a focal "point". This is to distinguish the lens
from 1-D-lenses described below, where the beam is only shaped in one dimension but
left unaffected in another dimension such as to, for example focus a circular beam
onto a line rather than onto a point.
[0067] The lens 52 is made from a nickel foil that is squeezed between two profiled pistons
to acquire the convex shape that is particularly apparent from Fig. 10(a). With this
embossing technique, the lens 52 can be manufactured comparatively easily and cheaply
and to a high precision of about 100 nm. The lens surfaces 54 and 56 of the lens 52
have a rotational ellipsoid shape that is characterized by an inscribed tangential
radius at its apex 58. Preferably, the radius R at the apex 58 is smaller than 2000
µm, preferably smaller than 1000 µm and preferably between 5 µm and 500 µm. The smaller
the radius of curvature (i.e. the larger the curvature), the smaller the focal length.
[0068] As is further seen in Fig. 10, the lens 52 has mounts 60 at two sides, which may
have a length of about 10 mm. With these mounts, a plurality of lenses 52 can be stacked
one behind the other in a lens holder (not shown), to thereby add up the focusing
power of multiple lenses. In practice, several hundreds or even a thousand of lenses
52 can be manufactured and stacked one behind the other.
[0069] As is further seen in Fig. 10(b), a hole 62 for ventilation is provided in the body
of the lenses 52, thereby preventing a deformation of the lenses 52 when the lens
stack is evacuated.
[0070] In Fig. 11, a schematic plan view (Fig. 11(a)) and a schematic perspective view (Fig.
11(b)) of an array 64 of 1-D lenses 68 is shown. The lens array 64 is comprised of
three series arrangements 66a, 66b, 66c of lenses 68 that are arranged in series for
being consecutively passed by a γ-beam. In the embodiment shown, N = 6 lenses 68 are
arranged in series in each of the series arrangements 66a, 66b, 66c, however, the
number N may in practice be much larger, i.e. N ≥ 10, preferably N ≥ 100 and more
preferably N ≥ 300, in order to increase the refractive power of the lens array 64.
[0071] As is further seen in Fig. 11, only M = 3 lens arrangements 66a, 66b, 66c are arranged
in parallel in the lens array 64, but in practical applications, the number M could
be much larger.
[0072] Each of the lenses 68 constituting the lens array 64 has two lens surfaces 70, 72
that have a convex shape in one dimension only. The convex shape can be seen in the
plan view of Fig. 11(a), the shape having a tangential radius R at the apex of each
lens surface 70, 72 of between 1 µm and 500 µm, preferably between 10 µ and 80 µm.
This means that γ-beams 74 as shown in Fig. 11(a) will only be focused in the paper
plane of Fig. 11(a), but not within a plane vertical to the paper plane of Fig. 11(a).
Accordingly, when the lens array 64 of Fig. 11 is used alone, a γ-beam 74 would be
focused onto a line rather than onto a focal point. However, in practice two lens
arrays 64 could be arranged in series one after the other and rotated by 90° with
respect to each other such as to achieve a focusing in two dimensions.
[0073] The use of lens surfaces 70, 72 that are convex only in one dimension is advantageous
from a manufacturing point of view. The lens arrays 64 of Fig. 11 can be made from
a wafer, such as an Si and/or Ge wafer by vertical etching, thereby leading to the
vertical wall parts of the lens surfaces 70, 72. In particular, in producing the lens
array 64, according to one embodiment first a mask is generated by electron beam lithography.
Thereafter, the material between neighbouring lenses 68 is etched for example by ion
beam deep etching. Preferably, the wafer thickness is between 20 µm and 100 µm and
more preferably between 50 µm and 200 µm. With these thicknesses, precise vertical
walls can still be etched.
[0074] Further, a plurality of identical lens arrays 64 as shown in Fig. 11 can be manufactured
and then stacked one on top of the other to thereby increase the total thickness of
the lens array 64. The wafers in the stack can be grown or fused together. This way,
a total thickness of a lens array 64 of more than 5 mm or even more than 8 mm can
be achieved.
[0075] The embodiments described above and the accompanying figures merely serve to illustrate
the method according to the present invention, and should not be taken to indicate
any limitation of the method. The scope of the patent is solely determined by the
following claims.
1. A monochromator (16, 30, 36) for monochromatizing a beam of γ-photons, x-ray photons
having an energy higher than 10 keV or neutrons of an energy below 1 eV,
said monochromator comprising a plurality of pairs of Laue-crystals (18a/b, 20a/b,
22a/b), each pair of Laue-crystals having
- a first Laue-crystal (18a, 20a, 22a) for diffracting a portion of an incoming beam
that meets the Bragg-condition and transmitting the remainder of the incoming beam
without diffraction, and
- a second Laue-crystal (18b, 20b, 22b) arranged with respect to the first Laue-crystal
(18a, 20a, 22a) such as to allow for a further Laue diffraction of the beam portion
that was Laue-diffracted at the first Laue-crystal (18a, 20a, 22a) of said pair of
Laue-crystals (18a/b, 20a/b, 22a/b),
wherein the first Laue-crystals (18a, 20a, 22a) of all pairs of Laue-crystals (18a/b,
20a/b, 22a/b) are parallel to each other and the second Laue-crystals (18b, 20b, 22b)
of all pairs of Laue-crystals (18a/b, 20a/b, 22a/b) are parallel to each other, and
wherein the first Laue-crystals (18a, 20a, 22a) of the pairs of Laue-crystals (18a/b,
20a/b, 22a/b) are arranged in series with refractive deflection means (24) arranged
inbetween such that the part of the beam that is transmitted without diffraction by
one of said first Laue-crystals (22a, 24a) is deflected prior to impinging on the
next first Laue-crystal (24a, 26a) in said series.
2. The monochromator (16, 30, 36) of claim 1, wherein the refractive deflection means
(24) arranged between consecutive first Laue-crystals (18a, 20a, 22a) in said series
of first Laue-crystals are adapted to deflect the beam by an angle α, with 5 < α <
200 nrad, preferably 10 < α < 100 nrad, and/or
wherein the number of pairs of Laue-crystals (18a/b, 20a/b, 22a/b) is at least 5,
preferably at least 10 and more preferably at least 50, and/or
wherein the first and second Laue-crystals (18a/b, 20a/b, 22a/b) of each pair of Laue-crystals
(18a/b, 20a/b, 22a/b) are either
- parallel to each other, or
- inclined with respect to each other such as to allow for an energy selection by
two consecutive Laue-diffractions, in particular inclined by twice a Bragg-angle of
the desired wavelength, or
- shiftable between the two configurations.
3. The monochromator (16, 30, 36) of claim 1 or 2, wherein all first Laue-crystals (18a,
20a, 22a) are part of one fixed first unit (32) and all second Laue-crystals (18b,
20b, 22b) are part of one fixed second unit (34), wherein the first and second units
(32, 34) are preferably each made from a single crystal block, in particular an Si
or Ge block, wherein both blocks are preferably taken from the same ingot.
4. The monochromator (16, 30, 36) of one of claims 1 to 3, wherein a collimating lens,
lens stack or lens array is arranged upstream of the monochromator (16, 30, 36) such
as to parallelize or at least reduce the divergence of the beam prior to entering
the monochromator (16, 30, 36)36.
5. The monochromator (16, 30, 36) of one of claims 1 to 4, wherein a beam that has already
been Laue-diffracted by a first (second) Laue-crystal of one pair is deflected using
a refractive deflection means (24) prior to passing a first (second) Laue-crystal
of another pair of Laue-crystals, and/or
wherein the refractive deflection means (24) arranged between two adjacent first Laue-crystals
(18a, 20a, 22a) for deflecting a beam transmitted without diffraction by the previous
first Laue-crystal (18a, 20a) in said series is arranged to also deflect the beam
Laue-diffracted by said previous first Laue-crystal (18a, 20a).
6. The monochromator (30) of one of claims 1 to 5, wherein the first and second Laue-crystals
(18a/b, 20a/b, 22a/b) are arranged in the monochromator (30) such that the first and
second Laue-crystals of each pair are adjacent to each other, or
wherein the first and second Laue-crystals (18a/b, 20a/b, 22a/b) are arranged in the
monochromator such that all first Laue-crystals (18a, 20a, 22a) are arranged in a
series and all second Laue-crystals (18b, 20b, 22b) are arranged in a further series
that is arranged downstream of the series of first Laue-crystals (18a, 20a, 22a),
wherein first refractive deflection means (24) are placed between each two neighbouring
first Laue-crystals (18a, 20a, 22a) and second refractive deflection means (38) are
placed between each two neighbouring second Laue-crystals (18b, 20b, 22b) with regard
to the propagation direction of the beam,
wherein the second refractive deflection means (38) in the nth gap between neighbouring second Laue-crystals (18b, 20b, 22b) when counted in opposite
propagation direction of the beam is adapted to compensate for the deflection provided
by the first refractive deflection means (24) in the nth gap between neighbouring first Laue-crystals (18a, 20a, 22a) when counted in propagation
direction of the beam.
7. The monochromator (16, 30, 36) of one of claims 1 to 6, wherein the refractive deflection
means (24) comprise an array (46) of prisms (48),
said array (46) of prisms (48) comprising at least one series arrangement (50a, 50b,
50c) of prisms (48) allowing for being consecutively passed by a beam, and/or wherein
in said series arrangement (50a, 50b, 50c) of prisms (48), preferably a number N of
prisms are arranged in series, such as to be consecutively passed by a beam, wherein
N ≥ 2, preferably N ≥ 10 and more preferably N ≥ 100, and/or
wherein at least the majority of prisms (48) in said array (46) of prisms (48) has
a wedge shape with a base surface having a triangular shape,
wherein the height (h) of the triangular shape is smaller than 200 µm, preferably
smaller than 50 µm,
wherein the base surface preferably has an isosceles triangle shape,
wherein the angle γ between the two equal sides of said isosceles triangle is preferably
between 5° and 120°, more preferably between 15° and 90°, and/or
wherein said array (46) of prisms (48) comprises a number M of series arrangements
(50a, 50b, 50c) of prisms (48) arranged in parallel,
wherein M ≥ 2, preferably M ≥ 4 and more preferably M ≥ 10.
8. The monochromator (16, 30, 36) of claim 7, wherein said array (46) of prisms (48)
is at least in part made from one or more wafers, in particular Si and/or Ge wafers,
in which the prisms (48) are formed by etching,
wherein said one or more wafers preferably has/have a thickness between 20 µm and
200 µm, preferably between 50 µm and 100 µm, and/or
wherein said array (46) of prisms (48) is at least in part made from a stack of a
plurality of identically etched wafers,
wherein said wafers of said stack are preferably grown or fused together, and/or
wherein the total thickness of the stack of wafers is preferably 5 mm or more, more
preferably 8 mm or more.
9. The monochromator (16, 30, 36) of one of claims 1 to 8, said monochromator being adapted
to generate a beam of γ-photons having an energy for which the energy dependent index
of refraction of the material of the refractive deflection means (24) has a real part
that is larger than 1, and in particular for a beam of γ-photons having an energy
that is larger than 100 keV, preferably larger than 300 keV, more preferably larger
than 500 keV, larger than 700 keV and larger than 1 MeV.
10. The monochromator (16, 30, 36) of claim 4 and 9,
wherein said collimating lens (52) is a convex lens having at least one, preferably
two lens surfaces (54, 56) having a convex shape in two dimensions, and in particular,
a rotation-ellipsoid shape,
wherein the tangential radius R at the apex of the lens is < 2000 µm, preferably <
1000 µm and preferably between 5 µm and 500 µm, and/or
wherein the collimating lens (52)is made from an embossed foil, in particular a foil
comprising one of Be, Al, Ni, Ta or Th as its main constituents.
11. The monochromator (16, 30, 36) of claim 4 and 9, wherein said lens stack is a stack
of N collimating lenses (52) as defined in claim 10 arranged in series, in particular
stacked one behind the other in a lens holder, wherein N is between 2 and 10000, preferably
between 10 and 200.
12. The monochromator (16, 30, 36) of claims 4 and 9, whereinsaid lens array (64) comprises
at least one series arrangement (66a, 66b, 66c) of lenses (68) allowing for being
consecutively passed by a γ-beam, wherein at least the majority of the lenses (68)
has at least one, preferably two lens surfaces (70, 72) having a convex shape in at
least one dimension.
13. The monochromator (16, 30, 36) of claim 12, wherein the mean radius of curvature of
the convex shape or the tangential radius at the apex of the convex shape is between
1 µm and 500 µm, preferably between 10 µm and 80 µm, and/or
wherein in said series arrangement (66a, 66b, 66c), a number N of lenses are arranged
in series such as to be consecutively passed by a γ-beam, wherein N ≥ 10, preferably
N ≥ 100, and more preferably N ≥ 300, and/or
wherein said lens array (64) comprises a number M of series arrangements (66a, 66b,
66c) of lenses (68) arranged in parallel,
wherein M ≥ 2, preferably M ≥ 4, and more preferably M ≥ 10.
14. The monochromator (16, 30, 36) of claim 12 or 13, wherein said lens array (64) is
at least in part made from one or more wafers, in particular Si- and/or Ge-wafers,
in which the lens surfaces are formed by etching,
wherein said one or more wafers preferably has/have a thickness between 20 µm and
200 µm, preferably between 50 µm and 100 µm, and/or
wherein said lens array is at least in part made from a stack of a plurality of identically
etched wafers,
wherein said wafers of said stack are preferably grown or fused together and/or wherein
the total thickness of the stack of wafers is preferably 5 mm or more, more preferably
8 mm or more.
15. The monochromator (16, 30, 36) of one of claims 12 to 14, comprising a combination
of two lens arrays (64) arranged in series, wherein the arrays (64) are oriented with
respect to each other, such that each of the two lens arrays (64) focuses or collimates
a γ-beam within a different plane, wherein said planes are preferably arranged at
90° with respect to each other.