[0001] The invention relates to a reflective Fresnel zone plate for concentrating electromagnetic
radiation into a focal point, comprising a first system of reflective subsidiary surfaces
lying in a first plane and a second system of reflective subsidiary surfaces lying
in a second plane, these subsidiary surfaces constituting the zones of the Fresnel
zone plate.
[0002] The use of a Fresnel zone plate for concentrating electromagnetic radiation into
a focal point is known from for instance US-A 4,905,014. This conventional Fresnel
zone plate has the drawback that it is designed for perpendicularly incident radiation
only. The present invention obviates this drawback and is characterised in that the
Fresnel zone plate is provided with means for focusing electromagnetic radiation from
a selectable direction.
[0003] For selecting a different direction, it will be required to change the system of
reflective subsidiary surfaces. A favourable embodiment of the invention is characterised
in that the means comprise mechanically adjustable subreflectors and in that the subsidiary
surfaces are formed by at least substantially abutting subreflectors.
[0004] A further favourable embodiment of the invention is characterised in that in the
standard mode of operation, the subreflectors are always positioned either in the
first plane or in the second plane so that the mechanical setting can assume two positions
only.
[0005] A still further embodiment of the invention is characterised in that the electrical
distance between the first surface and the second surface is at least substantially
a quarter of the wavelength of the electromagnetic radiation to be focused.
[0006] US-A 5,063,389 discloses a reflective Fresnel lens provided with mechanically adjustable
subreflectors. In case of this conventional lens, a subreflector shall be proportionally
driven across a distance that is half the wavelength of the electromagnetic radiation
to be focused. Apart from the proportional drive that renders the system unduly expensive
and consequently unsuitable for mass production, this entails the drawback that the
subreflector has to be shifted over a distance that is twice as long as the distance
specified in the present invention. The invention will generally require an increased
number of subreflectors, although these can be obtained in a low-cost and lightweight
design thus enabling a considerably faster drive.
[0007] A still further low-cost embodiment of the invention is characterised in that the
first plane and the second plane are both flat.
[0008] The invention will now be explained in more detail with reference to the following
figures, of which:
- Fig. 1
- schematically represents a Fresnel zone plate according to the state of the art;
- Fig. 2
- schematically represents a Fresnel zone plate according to the invention;
- Fig. 3
- represents a possible embodiment of an electromagnetically-adjustable subreflector;
- Fig. 4
- represents a further embodiment of an electromagnetically- adjustable subreflector.
[0009] A Fresnel zone plate can be used for concentrating microwave radiation into a focal
point. Fig. 1 represents a cross-section of a conventional Fresnel zone plate provided
with a first system of subsidiary surfaces 1 and a second system of subsidiary surfaces
2 formed by a system of circular grooves in a metal plate 3. The grooves have a depth
of a quarter of the wavelength to be focused. Such a Fresnel lens enables the concentration
of perpendicularly incident radiation into a focal point. The principle underlying
the Fresnel zone plate is also described in great detail in Fundamentals of Optics,
third edition, 1957, Jenkins and White, page 360.
[0010] For focusing electromagnetic radiation from a previously determined direction, a
suitable system of Fresnel zones shall be calculated and the Fresnel zone plate shall
be constructed accordingly. The calculation of the Fresnel zones follows directly
from the known Fresnel theory based on a transformation from an incident flat wave
front to a mostly spherical wave front that concentrates the electromagnetic energy
into a previously selected focal point. For a perpendicularly incident wave front,
the Fresnel zones constitute the known system consisting of a disc-shaped central
spot surrounded by a number of concentric circles, the radius of circle m being proportional
to the square root of m. The circles consequently become narrower and closer together.
In case of non-perpendicularly incident radiation, these circles appear to have changed
into complex, more or less elleptical contours. The contours can for each direction
be simply calculated by dividing the surface of the Fresnel zone plate to be determined
into an array of elements and by determining, per element, the path length of the
electromagnetic radiation leaving the focal point, via the element, to a reference
plane perpendicular to the desired radiation direction. The elements for which this
path length deviates not more than 1/4 wavelength with respect to a reference length
to be selected, are situated in a first plane, the other elements in a second plane,
both planes constituting the Fresnel zone plate. It will be obvious that the path
lengths are determined modulo the wavelength of the electromagnetic radiation.
[0011] According to the invention, each element is composed of a mechanically-adjustable
subreflector. Fig. 2 schematically represents, fully analogous to Fig. 1, a cross-section
of a Fresnel lens composed of a system of abutting subreflectors 4 of which the sides
facing the incident radiation can assume two possible positions with an interspace
of 1/4 wavelength of the radiation to be focused. This consequently yields a two-dimensional
array of subreflectors 4, thousands of which will usually be required for constituting
a Fresnel lens.
[0012] The dimension of a subreflector can be selected according to the following procedure.
Depending on the application, a diameter and a focal point for the Fresnel lens are
selected. Subsequently, the Fresnel patterns are calculated for a number of directions
of the incident radiation. The subreflector dimensions shall now be such that the
finest structures in the Fresnel patterns can still be detected in a correspondingly
driven system of subreflectors.
[0013] A cross-section of a possible embodiment of an electromagnetically-adjustable subreflector
4 is schematically represented in Fig. 3. The actual subreflector 5 is made of metal
and faces the incident radiation and is mounted on a pin 6 made of a ferromagnetic
material, such as soft iron, which slides in a through-hole drilled in plate 7, also
made of a ferromagnetic material.
[0014] An extension 8, made of a substantially non-ferromagnetic material is mounted coaxially
with pin 6; extension 8 slides in a through-hole drilled in plate 9. Between plate
7 and plate 9 a magnetic return path, not shown here, is provided. This results in
an at least substantially closed magnetic path that includes pin 6. By incorporating
the remaining non-ferromagnetic gap in a coil 10 and by subsequently energizing this
coil 10, it is possible to close the magnetic path as a result of which actual subreflector
5 shifts 1/4 wavelength. In case of a current interruption, the spring 11 transfers
the actual subreflector 5 to the initial position, spring 11 ending against a plate
12.
[0015] A favourable embodiment is obtained by using synthetic materials for the production
of actual subreflector 5, pin 6 and extension 8, which material is wherever required
covered with ferromagnetic material and metal.
[0016] A further favourable embodiment of subreflector 4 is shown in Fig. 4; this embodiment
comprises two coils 10 and 13 and two pins 6 and 14, both connected with an extension
8. Pin 14 slides in plate 12 that is provided with a through-hole and consists of
a ferromagnetic material, for instance soft iron. A magnetic return path has again
been provided between plate 9 and plate 12. This embodiment has the advantage that
excitation of a coil is required only when subreflector 4 switches from one to the
other position.
[0017] It will be obvious that analogous embodiments in which the coil is movable and the
ferromagnetic material is fixed are also feasible.
[0018] Another possibility is to use subreflector 4 as shown in Fig. 3 without a spring
11. In that case the subreflector interior is pressurized by means of a gas, which
pressure will exert an outward force on pin 6. Against this force, pin 6 can be pulled
inwards by exciting coil 10. By furthermore allowing any leak between a hole and associated
pin 6, 14 or extension 8, the escaping gas can moreover be used as an air bearing
and coolant for the coils 10, 13. By regulating the gas pressure, it is also possible
to compensate for accelerations that exert a perpendicular force to the surface of
the Fresnel zone plate and which, without this provision, would cause all subreflectors
to change position.
[0019] The adjustable Fresnel zone plate can advantageously be incorporated in a reservoir
containing a microwave radiation-transmissive fluid that reduces both the wavelength
of the microwave radiation and the required range of an adjustable subreflector. In
addition, a fluid can improve the subreflector damping and can serve as lubricant.
A suitable compartmentation of the reservoir moreover allows an overpressure in the
subreflector required for forcing out pin 6.
[0020] The Fresnel zone plate can also be irradiated by means of a radiation source with
a spherical wave front, for instance a microwave feedhorn. According to the reciprocity
principle, a flat wave with a selectable direction can then be realised.
1. Reflective Fresnel zone plate for concentrating electromagnetic radiation into a focal
point, comprising a first system of reflective subsidiary surfaces lying in a first
plane and a second system of reflective subsidiary surfaces lying in a second plane,
these subsidiary surfaces constituting the zones of the Fresnel zone plate, characterised
in that the Fresnel zone plate is provided with means for focusing electromagnetic
radiation from a selectable direction.
2. Fresnel zone plate as claimed in claim 1, characterised in that the means comprise
mechanically adjustable subreflectors and in that the subsidiary surfaces are formed
by at least substantially abutting subreflectors.
3. Fresnel zone plate as claimed in claim 2, characterised in that in the standard mode
of operation, the subreflectors are always positioned either in the first plane or
in the second plane.
4. Fresnel zone plate as claimed in claim 3, characterised in that the electrical distance
between the first plane and the second plane is at least substantially a quarter of
the wavelength of the electromagnetic radiation to be focused.
5. Fresnel zone plate as claimed in claim 4, characterised in that the first plane and
the second plane are both flat.
6. Fresnel zone plate as claimed in one of the above claims, characterised in that the
subreflectors are provided with electromagnetic setting means having two possible
positions.
7. Fresnel zone plate as claimed in claim 6, characterised in that the electromagnetic
setting means comprises a moving part, containing ferromagnetic material, and at least
one fixed coil.
8. Fresnel zone plate as claimed in claim 6, characterised in that the electromagnetic
setting means comprises at least one moving coil and a fixed ferromagnetic part.
9. Fresnel zone plate as claimed in claim 6, characterised in that means are provided
for moving a subreflector to a defined position without activating the electromagnetic
setting means.
10. Fresnel zone plate as claimed in claim 9, characterised in that the means comprise
an overpressure of a medium in the subreflector.