FIELD OF THE INVENTION
[0001] The present invention relates to a resonator for telecommunications. Embodiments
relate to a resonator assembly for radio frequency (RF) filters and a method.
BACKGROUND
[0002] Filters are widely used in telecommunications. Their applications vary from mobile
cellular base stations, through radar systems, amplifier linearization, to point-to-point
radio and RF signal cancellation, to name a few. The choice of a filter is ultimately
dependent on the application; however, there are certain desirable characteristics
that are common to all filter realisations. For example, the amount of insertion loss
in the pass-band of the filter should be as low as possible, while the attenuation
in the stop-band should be as high as possible. Further, in some applications, the
guard band - the frequency separation between the pass-band and stop-band - needs
to be very small, which requires filters of high-order to be deployed in order to
achieve this requirement. However, the requirement for a high-order filter is always
accompanied by an increase in the cost (due to a greater number of components that
a filter requires) and size. Furthermore, even though increasing the order of the
filter increases the attenuation in the stop-band, this inevitably increases the losses
in the pass-band.
[0003] One of the challenging tasks in filter design is filter size reduction with a simultaneous
retention of excellent electrical performance comparable with larger structures. One
of the main parameters governing filter's selectivity and insertion loss is the so-called
quality factor of the elements comprising the filter - "Q factor". The Q factor is
defined as the ratio of energy stored in the element to the time-averaged power loss.
For lumped elements that are used particularly at low RF frequencies for filter design,
Q is typically in the range of ∼ 60-100 whereas, for cavity type resonators, Q can
be as high as several 1000s. Although lumped components offer significant miniaturization,
their low Q factor prohibits their use in highly-demanding applications where high
rejection and/or selectivity is required. On the other hand, cavity resonators offer
sufficient Q, but their size prevents their use in many applications. The miniaturization
problem is particularly pressing with the advent of small cells, where the volume
of the base station should be minimal, since it is important the base station be as
inconspicuous as possible (as opposed to an eyesore). Moreover, the currently-observed
trend of macrocell base stations lies with multiband solutions within a similar mechanical
envelope to that of single-band solutions without sacrificing the system's performance.
Accordingly, it is desired to minimize the physical size and profile of cavity resonators/filters
(that can offer the high Q), focusing on a low-profile suitable also for small-cell
outdoor products
SUMMARY
[0004] According to a first aspect, there is provided a resonator, comprising: a resonant
chamber defined by a first wall, a second wall opposing the first wall and side walls
extending between the first wall and the second wall; pairs of resonant posts, each
pair of resonant posts comprising a first resonant post separated from a second resonant
post by an intra-pair gap and located in proximity with each other for magnetic field
coupling between the first resonant post and the second resonant post, the first resonant
post being grounded on the first wall and extending into the resonant chamber from
the first wall, the second resonant post being grounded on the second wall and extending
into the resonant chamber from the second wall; and wherein the pairs of resonant
posts are separated by an inter-pair gap and located in proximity with each other
for magnetic field coupling between the pairs of resonant posts.
[0005] The first aspect recognises that solutions exist which fail to provide suitable performance
with a minimal size profile. For lower-performance requirements, ceramic mono-block
filters with external metallization are typically used. They offer significant size
reduction but with relatively low Q of a few 100s (up to 500), which is too low for
many applications. Additionally, the small size of the filters prevents their use
in high-power applications, due to relatively high insertion losses and rather limited
power-handling capabilities. Ceramic resonators, like mono-block filters, also offer
significant size reductions. Furthermore, the filters offer power-handling capabilities
that are much higher than those of mono-block filters. However, the cost is the main
prohibiting factor for wider deployment of these filters. Cavity filters are suited
to high-power applications, but they are relatively large, which is the principal
limiting factor for their widespread use. Size reduction of traditional combline resonators
is achieved by employing capacitive caps to increase the diameter of the resonator's
top end so as to provide a greater electric loading and hence reduce the frequency
of operation. However, this approach needs to be taken with care, since it reduces
the Q factor. A distributed resonator which utilises a so-called folded arrangement
of 9 individual resonator elements, where each element is a standard coaxial, 90 degree
long resonator post results in a tremendous size reduction with an added benefit -
frequency agility. However, the main disadvantage of the distributed resonator lies
with the choice of the individual resonator elements - simple coaxial resonator elements
in this case. The first aspect also recognises that the resultant size reduction is,
ultimately, a function of its resonator elements.
[0006] Accordingly, a resonator or resonator assembly is provided. The resonator may comprise
a resonant chamber. The resonant chamber may be defined or have a first wall. The
resonance chamber may define or have a second wall. The second wall may oppose, be
opposite to or face the first wall. The resonant chamber may define or have one or
more side walls. The side walls may extend between the first wall and the second wall
to provide the resonant chamber. The resonator may also comprise a plurality of pairs
of resonant posts. Each pair of resonant posts may comprise a first resonant post
and a second resonant post. The first resonant post may be separated from the second
resonant post by an intra-pair gap. The first and second resonant posts may be located
in proximity with, close to or adjacent each other to provide or enable magnetic field
coupling between the first resonant post and the second resonant post. The first resonant
post of each pair may be electrically grounded to the first wall and extend from the
first wall into the resonant chamber. The second resonant post of each pair may be
electrically grounded to the second wall and may extend from the second wall into
the resonant chamber. The pairs of resonant posts may be separated by an inter-pair
gap. The pairs of resonant posts may be located in proximity with each other to provide
or enable magnetic field coupling between pairs of resonant posts. In this way, coupling
is provided not only between the resonant posts making up each pair, but also between
pairs of resonant posts which provides for an even greater level of miniaturisation
compared to previous approaches, while still retaining the same degree of performance.
[0007] In one embodiment, one of the first and second resonant posts of one pair of resonant
posts is separated by the inter-pair gap and located in proximity with another of
the first and second resonant posts of another pair of resonant posts for magnetic
field coupling between the one of the first and second resonant posts of one pair
of resonant posts and the another of the first and second resonant posts of the another
pair of resonant posts. Accordingly, the first resonant post of one pair may be located
to provide magnetic field coupling with a second resonant post of another pair. Alternatively,
the second resonant post of one pair may be located to provide magnetic field coupling
with the first resonant post of another pair. This provides for coupling along a path
of interdigitated posts.
[0008] In one embodiment, each adjacent pair of resonant posts is separated by an inter-pair
gap and located in proximity with each other for magnetic field coupling between the
adjacent pairs of resonant posts. Accordingly, magnetic field coupling may occur between
adjacent pairs of resonant posts.
[0009] In one embodiment, one of the first and second resonant posts of one of an adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of another of the adjacent pair
of resonant posts for magnetic field coupling between the one of the first and second
resonant posts of the of the adjacent pair of resonant posts and the another of the
first and second resonant posts of the another of the adjacent pair of resonant posts.
Accordingly, the first resonant post of one pair may be located to provide magnetic
field coupling with a second resonant post of an adjacent pair. Alternatively, the
second resonant post of one pair may be located to provide magnetic field coupling
with the first resonant post of an adjacent pair. This provides for coupling along
a path of adjacent interdigitated posts.
[0010] In one embodiment, at least three adjacent pairs of resonant posts are each separated
by an inter-pair gap and located in proximity with each other for magnetic field coupling
between the adjacent pairs of resonant posts. Accordingly, magnetic field coupling
may be provided between three or more adjacent pairs, which provides for more coupling
directions to facilitate miniaturisation of the resonator.
[0011] In one embodiment, one of the first and second resonant posts of a first adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of a second and a third adjacent
pair of resonant posts for magnetic field coupling between the one of the first and
second resonant posts of the first adjacent pair of resonant posts and the another
of the first and second resonant posts of the second and the third adjacent pair of
resonant posts. Accordingly, the first resonant post of one pair may be located to
provide magnetic field coupling with a second resonant post of two adjacent pairs.
Alternatively, the second resonant post of one pair may be located to provide magnetic
field coupling with the first resonant post of two adjacent pairs. This provides for
coupling along a path of adjacent interdigitated posts.
[0012] In one embodiment, at least four adjacent pairs of resonant posts are each separated
by an inter-pair gap and located in proximity with each other for magnetic field coupling
between the adjacent pairs of resonant posts. Accordingly, magnetic field coupling
may be provided between four or more adjacent pairs, which provides for more coupling
directions to facilitate miniaturisation of the resonator.
[0013] In one embodiment, one of the first and second resonant posts of a first adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of a second, a third and a fourth
adjacent pair of resonant posts for magnetic field coupling between the one of the
first and second resonant posts of the first adjacent pair of resonant posts and the
another of the first and second resonant posts of the second, the third and the fourth
adjacent pair of resonant posts. Accordingly, the first resonant post of one pair
may be located to provide magnetic field coupling with a second resonant post of three
adjacent pairs. Alternatively, the second resonant post of one pair may be located
to provide magnetic field coupling with the first resonant post of three adjacent
pairs. This provides for coupling along a path of adjacent interdigitated posts.
[0014] In one embodiment, the pairs of resonant posts are arranged at least one of linearly,
curvilinearly and rectilinearly. Accordingly, a range of different configurations
are possible, including a linear arrangement, layout or configuration, a curved or
circular arrangement, and a matrix, rectilinear or grid arrangement.
[0015] In one embodiment, the pairs of resonant posts are arranged in a circular grid. Accordingly,
the pairs of resonant posts may be arranged in circular grid where posts are arranged
into a series of concentric circular positions.
[0016] In one embodiment, the pairs of resonant posts are arranged in rows and columns of
an 'N x N' matrix. Accordingly, the pairs may be arranged as N rows of N columns of
pairs, or as a grid.
[0017] In one embodiment, each intra-pair gap is orientated to control magnetic field coupling
between adjacent pairs of resonant posts. Accordingly, the orientation of the intra-pair
gap may be selected to vary the magnetic field coupling between adjacent pairs of
resonant posts.
[0018] In one embodiment, each intra-pair gap is orientated to be transverse to the rows
and columns. Accordingly, the intra-pair gap may be orientated to be non-parallel
with the direction of either the rows and/or columns. This helps to provide for coupling
between rows and columns simultaneously. This again helps to reduce the resonator
size.
[0019] In one embodiment, each intra-pair gap is orientated at 45° to the rows and columns.
By orientating the intra-pair gap to an angle of 45° with respect to the rows and
the columns, an even distribution of magnetic coupling between the rows and columns
occurs, which helps prevent hot-spots occurring within the resonator and helps to
provide for coupling not only along the rows and columns but also diagonally within
the matrix.
[0020] In one embodiment, each pair of resonant posts comprises opposing elongate posts,
symmetric about the intra-pair gap. Accordingly, the first resonant post and the second
resonant post may be dimensioned, configured or arranged to be symmetric or mirrored
about an axis defined by the intra-pair gap between those two posts.
[0021] In one embodiment, each resonant post has a generally semi-circular cross section.
It will be appreciated that each resonant post may have any suitable cross-section,
such as generally triangular through to generally circular. It will also be appreciated
that vertices of the cross-section may be rounded to improve current flow within the
resonant post.
[0022] In one embodiment, each pair of resonant posts comprises opposing surfaces separated
by the inter-pair gap. The opposing surfaces may be planar or non-planar. Typically,
the profile of those opposing surfaces will be complementary.
[0023] In one embodiment, each pair of resonant posts comprise at least one tuning mechanism.
Typically, the tuning mechanism may comprise a displaceable screw which extends into
the resonant chamber towards the resonant posts.
[0024] In one embodiment, at least one pair of resonant posts is coupled with an incoming
signal feed and at least one pair of resonant posts is coupled with an outgoing filtered
signal feed. It will be appreciated that a variety of different coupling arrangements
may be used to couple the incoming signal feed with the resonant posts and to couple
the outgoing filtered signal feed with the resonant posts.
[0025] According to a second aspect, there is provided a method of radio frequency filtering,
comprising passing a signal for filtering through at least one resonator, each resonator
comprising: a resonant chamber defined by a first wall, a second wall opposing the
first wall and side walls extending between the first wall and the second wall; pairs
of resonant posts, each pair of resonant posts comprising a first resonant post separated
from a second resonant post by an intra-pair gap and located in proximity with each
other for magnetic field coupling between the first resonant post and the second resonant
post, the first resonant post being grounded on the first wall and extending into
the resonant chamber from the first wall, the second resonant post being grounded
on the second wall and extending into the resonant chamber from the second wall; and
wherein the pairs of resonant posts are separated by an inter-pair gap and located
in proximity with each other for magnetic field coupling between the pairs of resonant
posts.
[0026] In one embodiment, one of the first and second resonant posts of one pair of resonant
posts is separated by the inter-pair gap and located in proximity with another of
the first and second resonant posts of another pair of resonant posts for magnetic
field coupling between the one of the first and second resonant posts of one pair
of resonant posts and the another of the first and second resonant posts of the another
pair of resonant posts.
[0027] In one embodiment, each adjacent pair of resonant posts is separated by an inter-pair
gap and located in proximity with each other for magnetic field coupling between the
adjacent pairs of resonant posts.
[0028] In one embodiment, one of the first and second resonant posts of one of an adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of another of the adjacent pair
of resonant posts for magnetic field coupling between the one of the first and second
resonant posts of the of the adjacent pair of resonant posts and the another of the
first and second resonant posts of the another of the adjacent pair of resonant posts.
[0029] In one embodiment, at least three adjacent pairs of resonant posts are each separated
by an inter-pair gap and located in proximity with each other for magnetic field coupling
between the adjacent pairs of resonant posts.
[0030] In one embodiment, one of the first and second resonant posts of a first adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of a second and a third adjacent
pair of resonant posts for magnetic field coupling between the one of the first and
second resonant posts of the first adjacent pair of resonant posts and the another
of the first and second resonant posts of the second and the third adjacent pair of
resonant posts.
[0031] In one embodiment, at least four adjacent pairs of resonant posts are each separated
by an inter-pair gap and located in proximity with each other for magnetic field coupling
between the adjacent pairs of resonant posts.
[0032] In one embodiment, one of the first and second resonant posts of a first adjacent
pair of resonant posts is separated by the inter-pair gap and located in proximity
with another of the first and second resonant posts of a second, a third and a fourth
adjacent pair of resonant posts for magnetic field coupling between the one of the
first and second resonant posts of the first adjacent pair of resonant posts and the
another of the first and second resonant posts of the second, the third and the fourth
adjacent pair of resonant posts.
[0033] In one embodiment, the pairs of resonant posts are arranged at least one of linearly,
curvilinearly and rectilinearly.
[0034] In one embodiment, the pairs of resonant posts are arranged in a circular grid.
[0035] In one embodiment, the pairs of resonant posts are arranged in rows and columns of
an 'N x N' matrix.
[0036] In one embodiment, each intra-pair gap is orientated to control magnetic field coupling
between adjacent pairs of resonant posts.
[0037] In one embodiment, each intra-pair gap is orientated to be transverse to the rows
and columns.
[0038] In one embodiment, each intra-pair gap is orientated at 45° to the rows and columns.
[0039] In one embodiment, each pair of resonant posts comprises opposing elongate posts,
symmetric about the intra-pair gap.
[0040] In one embodiment, each resonant post has a generally semi-circular cross section.
[0041] In one embodiment, each pair of resonant posts comprises opposing surfaces separated
by the inter-pair gap.
[0042] In one embodiment, each pair of resonant posts comprise at least one tuning mechanism.
[0043] In one embodiment, at least one pair of resonant posts is coupled with an incoming
signal feed providing the signal and at least one pair of resonant posts is coupled
with an outgoing filtered signal feed providing a filtered signal.
[0044] Further particular and preferred aspects are set out in the accompanying independent
and dependent claims. Features of the dependent claims may be combined with features
of the independent claims as appropriate, and in combinations other than those explicitly
set out in the claims.
[0045] Where an apparatus feature is described as being operable to provide a function,
it will be appreciated that this includes an apparatus feature which provides that
function or which is adapted or configured to provide that function.
BRIEF DESCRIPTION OF THE DRAWINGS
[0046] Embodiments of the present invention will now be described further, with reference
to the accompanying drawings, in which:
Figure 1 illustrates a component building-block structure of a resonator;
Figure 2 illustrates an equivalent circuit of the resonator shown in Figure 1;
Figure 3 is a graph of frequency variation as a function of transformer impedance,

according to equation (5) below for the resonator structure shown in Figure 1;
Figure 4 illustrates a split distributed resonator with individual resonator elements
arranged in a folded fashion according to one embodiment; (a) is an isometric view
and (b) is a top view;
Figure 5 illustrates a split distributed resonator with individual resonator elements
arranged in a folded fashion according to one embodiment; (a) is an isometric view
and (b) is a top view;
Figure 6 illustrates a conventional distributed resonator with individual resonator
elements arranged in a folded fashion equivalent to the embodiment of Figure 2; (a)
is an isometric view and (b) is a top view; and
Figure 7 illustrates a split distributed resonator with individual resonator elements
arranged in a folded fashion according to one embodiment.
DESCRIPTION OF THE EMBODIMENTS
[0047] Before discussing the embodiments in any more detail, first an overview will be provided.
Embodiments provide a resonator structure which provides for high Q whilst minimising
the physical size of the resonator. This is achieved by providing split resonator
pairs, arranged in an array of pairs. Each pair of resonators achieves strong coupling,
not only between the resonator posts making up each pair but also between adjacent
pairs. The coupling between adjacent pairs exists in multiple directions which provides
for additional paths which provides for even greater miniaturisation. Different layouts
of the pairs are possible, ranging from linear, curvilinear, grids or matrices, as
well as circular or other curved arrangements. Typically, an intra-resonator gap exists
between resonant posts making up each pair of resonators across which coupling occurs.
The orientation and shape of that intra-pair gap with respect to adjacent resonant
posts varies the coupling between those adjacent posts. Typically, the resonant posts
present opposed planar surfaces separated by the intra-pair gap, although non-planar
configurations are also envisaged. Also, an inter-pair gap exists between adjacent
pairs of resonators, across which coupling occurs. The orientation and shape of that
inter-pair gap with respect to adjacent resonant pairs varies the coupling between
those adjacent pairs. Typically, the pairs of resonant posts present opposed non-planar
surfaces separated by the inter-pair gap, although planar configurations are also
envisaged. Where a gap is defined by opposing planar surfaces, then the gap may be
considered to be defined as a constant width between the adjacent resonators defined
by the profile of those opposing planar surfaces. Where a gap is defined by opposing
non-planar surfaces, then the gap may be considered to be defined as a varying width
between the adjacent resonators defined by the profile of those opposing non-planar
surfaces. This can then be utilised to further control the characteristics of the
resonator and provides for additional paths which provides for even greater miniaturisation.
[0048] Figure 1 illustrates a layout of a resonator structure 2 in which there are two resonator
posts 4, 6, one 4 of which is grounded on the bottom 8 of a resonator cavity 10 and
the other 6 of which is grounded on the top 12 of the resonator cavity 10. This resonant
structure 2 is a building-block of resonator structures of embodiments.
[0049] It will be understood that the nomenclature top wall, bottom wall, side walls, is
intended to distinguish the walls from each other and resonators may function in any
orientation relative to the Earth.
[0050] The equivalent circuit 14 to this resonator structure 2 is shown in Figure 2.
Equivalent Circuit Analysis
[0051] Figure 2 corresponds to two of the resonators each represented by their own equivalent
- parallel LC (inductor-capacitor) - circuit connected through an admittance transformer,
Yt.
[0052] The resonant frequency of each resonator is obtained from the condition that the
admittance of the parallel circuit,
Y0, is equal to zero

to yield

[0053] The resonant frequency of the circuit shown in Figure 2 is, similarly, obtained from
the condition that the input admittance,
Yin, is equal to zero. In order to do so, the expression for
Yin is obtained:

[0054] It is then inferred from equation (2) that the first term on the right corresponds
to the susceptance of inductor
L0, while the second term represents the equivalent capacitive susceptance, composed
of the susceptance of capacitor
C0 and the susceptance contribution of the second resonator. The susceptance contribution
of the second resonator is of capacitive character for frequencies below the resonant
frequency of the individual resonators,

and of inductive character for frequencies above the resonant frequency of the individual
resonators. The resonant frequencies of the resonator structure shown in Figure 2
are obtained by setting
Yin = 0, to yield

Since (3) is a polynomial of order four, it has four roots, two out of which are
always negative and the remaining two are positive. Discarding the negative roots
as unphysical, the two positive roots are

[0055] Equation (4), upon substitution of

becomes

[0056] Equation (5) indicates that the introduction of an admittance transformer,
Yt, results in two resonant frequencies: one above and the other below the resonant
frequency of an individual resonator. In other words, for a given resonant frequency
of an individual resonator post, the resonant frequencies of the resonator structure
2 shown in Figure 2 can be adjusted by a selection of the admittance transformer,
Yt.
[0057] The frequency difference between the two roots of (4) or (5) may be written as

which states that the frequency separation between the two resonant frequencies is
proportional to the admittance transformation between the two resonators. It is realised
that this enables a way of obtaining frequency tunability, which, rather than focusing
on the variation of the equivalent capacitance of a single resonator, introduces frequency
tunability as a function of the coupling between two adjacent resonators. By way of
illustration, as a numerical example, considering the resonator structure shown in
Figure 2, where each of the resonator posts is operating at a frequency of 2 GHz.
In this example, Figure 3 shows frequency variation as a function of transformer impedance,

according to equation (5). The admittance transformer,
Yt, is allowed to vary from 0.0033 S (equivalent to 300 Ω) to 0.05 S (equivalent to
20 Ω). In Figure 3, circles represent resonant frequency of each of the two resonator
posts 4,6, squares represent the lower bound to the operating frequency range, and
triangles represent the upper bound to the operating frequency range.
[0058] As seen in Figure 3, it is realised that, frequency tunability is obtained by controlling
the impedance transformation between the two resonator posts.
[0059] It is also realised that by using two resonator posts not only is frequency tunability
achievable, but also the frequency of operation is reduced, leading to reduced physical
dimensions (miniaturization).
Electromagnetic C3onditions
[0060] This leads to consider electromagnetic conditions that must be satisfied.
[0061] It follows from electromagnetic theory that for the coupling between two resonator
posts to be strong, they must be placed in the vicinity of each other. The term "coupling"
represents the amount of energy that one resonator post intercepts from another resonator
post and can be expressed equally well by an equivalent loading "impedance" that one
resonator post exhibits when another resonator post is placed in its vicinity.
[0062] In particular, the higher the equivalent loading "impedance" of a resonator post,
the less amount of coupling exists between the two adjacently placed resonator posts.
In the limiting case, when the loading impedance is infinite, no coupling exists between
the resonator posts. In practice, this corresponds to the case of infinite physical
separation between resonator posts.
Resonator Structure
[0063] In view of the above it is realised that a strong but controllable coupling between
the two posts 4, 6 in the resonant cavity 12 is obtained by placing the resonator
posts in the vicinity of each other such that one resonator post 4 extends from the
bottom 8 of the cavity 10 and one resonator post 6 extends from the top 12.
[0064] Looking further at the resonator structure shown in Figure 1, it is seen that the
resonators are positioned at opposite sides from each other. This means that the directions
of the surface currents on the respective resonator posts 4,6 are such that the magnetic
fields created by these two currents reinforce each other in the space 16 between
the resonators. This implies that the coupling between the two resonator posts 4,
6 is strong, the resonator posts 4,6 exhibit a great deal of influence on each other,
and this influence can be controlled by manipulating the amount of coupling between
the two resonator posts 4,6. As explained earlier with reference to Figure 2, coupling
can be represented by an equivalent impedance/admittance transformer between the two
resonators.
[0065] It can be considered that depending on the coupling between the two resonators, this
notional impedance/admittance transformer has a tunable electrical length.
[0066] Furthermore, given that each individual resonator post has an electrical length of
90° in isolation and that the electrical length of the transformer is adjustable,
the overall electrical length of the resonant structure shown in Figure 1 can be arbitrarily
long, resulting in reduced frequencies of operation compared to a single resonator
in isolation.
[0067] By adjusting the coupling between two resonators, one not only significantly alters
the frequency of operation of the individual resonator posts, but also makes the resonant
structure widely tuneable.
Distributed Resonator - 5x5 arrangement
[0068] Figure 4 illustrates a distributed resonator consisting of 25 individual resonators,
arranged in a rectangular, 5x5, grid according to one embodiment. Each individual
resonator 20a is itself a distributed resonator of second order, consisting of two
resonant elements 4a, 6a similar to the arrangement described above and is referred
to as a split resonator. Each resonator element 4a, 6a is half-cylindrical. Each resonant
element 4a is electrically coupled to the bottom 8a of the resonant cavity 10a, while
each resonant element 6a coupled to the top 12a of the resonant cavity 10a. The two
resonant elements 4a, 6a present opposing (facing) planar surfaces separated by an
intra-resonator gap 30a. Each resonator 20a presents opposed non-planar surfaces and
is separated by an inter-resonator gap 40a at the closest approach between adjacent
resonators 20a. However, it will be appreciated that each resonator element 4a, 6a
may have a different cross-sectional profile such as faceted and may present opposing
(facing) planar surfaces separated by the inter-resonator gap 40a.
[0069] The use of the split resonator in a distributed resonator fashion has distinct advantages
over traditional and mini-coaxial resonators laid out in a distributed fashion, namely:
- 1. Due to the split nature of the individual resonators 20a, there exists a strong
coupling among the resonators 20a along the diagonal axis of the distributed resonator
- such strong coupling is not achievable using either traditional or mini-coaxial
resonators.
- 2. Due to the fact that strong coupling among the resonators 20a does not only exist
in the x and y directions, but also, along the diagonal elements, an even greater
level of miniaturization is possible than that offered by other distributed resonators.
- 3. The use of the split resonator in the distributed fashion offers an additional
degree of freedom, epitomized in the relative rotation of the two halves of the individual
resonator. This additional degree of freedom is of particular use for frequency tunability.
Again, this feature is not available in other distributed resonators.
[0070] It will be appreciated that the arrangement shown in Figure 4 is only one of the
possible realizations. It is possible arrange the split resonators in a variety of
distributed fashions. For example, they could be arranged in a rectangular grid configurations,
n x n (where n is an integer), or they could be arranged in a circular or curvilinear
configuration.
[0071] In operation a signal is received via an input signal feed 100 within the resonant
cavity 10a. The input signal feed 100a magnetically couples with resonator post 4a1,
which in turn magnetically couples across the intra-resonator gap 30a with resonator
post 6a1. Resonator post 6a1 magnetically couples across the inter-resonator gaps
40a with resonator posts 4a2, 4a3, 4a4. The relative orientation of the intra-resonator
gaps 30a affects the degree of couple across inter-resonator gaps 40a with adjacent
resonator posts. The Magnetic coupling then continues between the resonator posts
and the signal distributes across the array in the directions X, Y and D. A filtered
signal is then received at an output signal feed 200a.
Distributed Resonator - 4x4 arrangement
[0072] Figure 5 illustrates another embodiment of the distributed split resonator with 4x4
individual resonator elements 20b, where each individual resonator element is a distributed
resonator of order 2. In particular, the configuration shown can be termed folded,
since individual elements are positioned in a grid.
[0073] Each individual resonator 20b is itself a distributed resonator of second order,
consisting of two resonant elements 4b, 6b and is referred to as a split resonator.
Each resonator element 4b, 6b is half-cylindrical. Each resonant element 4b is electrically
coupled to the bottom 8b of the resonant cavity 10b, while each resonant element 6b
coupled to the top 12b of the resonant cavity 10b. The two resonant elements 4b, 6b
present opposing (facing) planar surfaces separated by an intra-resonator gap 30b.
Each resonator 20b presents opposed non-planar surfaces and is separated by an inter-resonator
gap 40b at the closest approach between adjacent resonators 20b. However, it will
be appreciated that each resonator element 4b, 6b may have a different cross-sectional
profile such as faceted and may present opposing (facing) planar surfaces separated
by the inter-resonator gap 40b.
[0074] In operation a signal is received via an input signal feed 100b within the resonant
cavity 10b. The input signal feed 100a magnetically couples with resonator post 4b1,
which in turn magnetically couples across the intra-resonator gap 30b with resonator
post 6b1. Resonator post 6b1 magnetically couples across the inter-resonator gaps
40b with resonator posts 4b2, 4b3, 4b4. The relative orientation of the intra-resonator
gaps 30b affects the degree of couple across inter-resonator gaps 40b with adjacent
resonator posts. The Magnetic coupling then continues between the resonator posts
and the signal distributes across the array in the directions X, Y and D. A filtered
signal is then received at an output signal feed 200b.
[0075] The resonator operates at the frequency of 1.8 GHz and its dimensions are 30 mm x
30 mm x 7 mm. The performance of the resonator of Figure 5 is compared to the performance
of a traditional distributed resonator of, made to operate at the same frequency,
i.e. 1.8 GHz; Figure 6 shows this traditional distributed resonator.
[0076] The dimensions of the resonator of Figure 6 are 40 mm x 40 mm x 7 mm, i.e. this traditional
resonator occupies the volume that is about 78 % greater than the volume occupied
by the resonator of Fig. 5. Table 1 summarizes the relative performance of the two
resonators.
[0077] Table 1 compares the performance of the resonators depicted in Figures 5 and 6 for
the same frequency of operation, i.e. around 1800 MHz. The reported resonant-frequency
values were obtained by utilizing the full-wave analysis software tool of CST Studio
Suite.
Table 1: Comparison of resonant frequencies of distributed resonators
Resonator type |
Resonant frequency, f0 [MHz] |
Q-factor |
Volume (mm3) |
Traditional distributed resonator of Figure 6 |
1811 |
1825 |
40x40x7 |
Split distributed resonator of Figure 5 |
1811 |
1998 |
30x30x7 |
[0078] As evident from Table 1, the split distributed resonator not only offers tremendous
size reduction compared to the already low-volume distributed resonator, but it also
offers better performance too. For example, the obtained Q-factor from the distributed
split resonator with a volume of 6300 mm
3 is about 9.4 % greater than the Q-factor of the traditional distributed resonator
with a volume of 11200 mm
3 - which is a significant difference.
[0079] It is important to note that the benefits regarding frequency tunability of the traditional
distributed resonator are carried over to the distributed split resonator of embodiments.
In other words, the distributed split resonator offers a much better utilization of
the available volume compared to the traditional distributed resonator, while retaining
the attractive frequency tunability benefits.
[0080] The resonators 20a, 20b may be tuned using a tuning mechanism, such as a tuning screw
(not shown) in order to adjust the resonant response of each resonator 20a, 20b.
Distributed Resonator - circular arrangement
[0081] Figure 7 illustrates another embodiment of the distributed split resonator 10c with
a circular arrangement.
[0082] Two concentric arrangements of individual resonator elements 20c are provided, where
each individual resonator element is a distributed resonator of order 2. In particular,
the configuration shown can be termed folded, since individual elements are positioned
in a grid.
[0083] Each individual resonator 20c is itself a distributed resonator of second order,
consisting of two resonant elements 4c, 6c and is referred to as a split resonator.
Each resonator element 4c, 6c is half-cylindrical. Each resonant element 4c is electrically
coupled to the bottom of the resonant cavity, while each resonant element 6c coupled
to the top of the resonant cavity. The two resonant elements 4c, 6c present opposing
(facing) planar surfaces separated by an intra-resonator gap 30c. Each resonator 20c
presents opposed non-planar surfaces and is separated by an inter-resonator gap 40c
at the closest approach between adjacent resonators 20b. However, it will be appreciated
that each resonator element 4c, 6c may have a different cross-sectional profile such
as faceted and may present opposing (facing) planar surfaces separated by the inter-resonator
gap 40c.
[0084] In operation a signal is received via an input signal feed within the resonant cavity.
The input signal feed magnetically couples with a resonator post, which in turn magnetically
couples across the intra-resonator gap 30c with another resonator post. That resonator
post magnetically couples across the inter-resonator gaps 40c with other resonator
posts. The relative orientation of the intra-resonator gaps 30c affects the degree
of couple across inter-resonator gaps 40c with adjacent resonator posts. The magnetic
coupling then continues between the resonator posts and the signal distributes across
the array. A filtered signal is then received at an output signal feed.
[0085] The distributed split resonator of embodiments can be, without any loss of generality
applied in the same number of realizations as the traditional distributed resonator.
In other words, the individual resonator elements can be laid out in a linear, curvilinear,
of folded grid realizations.
[0086] A person of skill in the art would readily recognize that steps of various above-described
methods can be performed by programmed computers. Herein, some embodiments are also
intended to cover program storage devices, e.g., digital data storage media, which
are machine or computer readable and encode machine-executable or computer-executable
programs of instructions, wherein said instructions perform some or all of the steps
of said above-described methods. The program storage devices may be, e.g., digital
memories, magnetic storage media such as a magnetic disks and magnetic tapes, hard
drives, or optically readable digital data storage media. The embodiments are also
intended to cover computers programmed to perform said steps of the above-described
methods.
[0087] The functions of the various elements shown in the Figures, including any functional
blocks labelled as "processors" or "logic", may be provided through the use of dedicated
hardware as well as hardware capable of executing software in association with appropriate
software. When provided by a processor, the functions may be provided by a single
dedicated processor, by a single shared processor, or by a plurality of individual
processors, some of which may be shared. Moreover, explicit use of the term "processor"
or "controller" or "logic" should not be construed to refer exclusively to hardware
capable of executing software, and may implicitly include, without limitation, digital
signal processor (DSP) hardware, network processor, application specific integrated
circuit (ASIC), field programmable gate array (FPGA), read only memory (ROM) for storing
software, random access memory (RAM), and non-volatile storage. Other hardware, conventional
and/or custom, may also be included. Similarly, any switches shown in the Figures
are conceptual only. Their function may be carried out through the operation of program
logic, through dedicated logic, through the interaction of program control and dedicated
logic, or even manually, the particular technique being selectable by the implementer
as more specifically understood from the context.
[0088] It should be appreciated by those skilled in the art that any block diagrams herein
represent conceptual views of illustrative circuitry embodying the principles of the
invention. Similarly, it will be appreciated that any flow charts, flow diagrams,
state transition diagrams, pseudo code, and the like represent various processes which
may be substantially represented in computer readable medium and so executed by a
computer or processor, whether or not such computer or processor is explicitly shown.
[0089] The description and drawings merely illustrate the principles of the invention. It
will thus be appreciated that those skilled in the art will be able to devise various
arrangements that, although not explicitly described or shown herein, embody the principles
of the invention and are included within its spirit and scope. Furthermore, all examples
recited herein are principally intended expressly to be only for pedagogical purposes
to aid the reader in understanding the principles of the invention and the concepts
contributed by the inventor(s) to furthering the art, and are to be construed as being
without limitation to such specifically recited examples and conditions. Moreover,
all statements herein reciting principles, aspects, and embodiments of the invention,
as well as specific examples thereof, are intended to encompass equivalents thereof.
1. A resonator, comprising:
a resonant chamber defined by a first wall, a second wall opposing said first wall
and side walls extending between said first wall and said second wall;
pairs of resonant posts, each pair of resonant posts comprising a first resonant post
separated from a second resonant post by an intra-pair gap and located in proximity
with each other for magnetic field coupling between said first resonant post and said
second resonant post, said first resonant post being grounded on said first wall and
extending into said resonant chamber from said first wall, said second resonant post
being grounded on said second wall and extending into said resonant chamber from said
second wall; and wherein
said pairs of resonant posts are separated by an inter-pair gap and located in proximity
with each other for magnetic field coupling between said pairs of resonant posts.
2. The resonator of claim 1, wherein one of said first and second resonant posts of one
pair of resonant posts is separated by said inter-pair gap and located in proximity
with another of said first and second resonant posts of another pair of resonant posts
for magnetic field coupling between said one of said first and second resonant posts
of one pair of resonant posts and said another of said first and second resonant posts
of said another pair of resonant posts.
3. The resonator of claim 1 or 2, wherein each adjacent pair of resonant posts is separated
by an inter-pair gap and located in proximity with each other for magnetic field coupling
between said adjacent pairs of resonant posts.
4. The resonator of claim 3, wherein one of said first and second resonant posts of one
of an adjacent pair of resonant posts is separated by said inter-pair gap and located
in proximity with another of said first and second resonant posts of another of said
adjacent pair of resonant posts for magnetic field coupling between said one of said
first and second resonant posts of said of said adjacent pair of resonant posts and
said another of said first and second resonant posts of said another of said adjacent
pair of resonant posts.
5. The resonator of any preceding claim, wherein at least three adjacent pairs of resonant
posts are each separated by an inter-pair gap and located in proximity with each other
for magnetic field coupling between said adjacent pairs of resonant posts.
6. The resonator of claim 5, wherein one of said first and second resonant posts of a
first adjacent pair of resonant posts is separated by said inter-pair gap and located
in proximity with another of said first and second resonant posts of a second and
a third adjacent pair of resonant posts for magnetic field coupling between said one
of said first and second resonant posts of said first adjacent pair of resonant posts
and said another of said first and second resonant posts of said second and said third
adjacent pair of resonant posts.
7. The resonator of any preceding claim, wherein at least four adjacent pairs of resonant
posts are each separated by an inter-pair gap and located in proximity with each other
for magnetic field coupling between said adjacent pairs of resonant posts.
8. The resonator of claim 7, wherein one of said first and second resonant posts of a
first adjacent pair of resonant posts is separated by said inter-pair gap and located
in proximity with another of said first and second resonant posts of a second, a third
and a fourth adjacent pair of resonant posts for magnetic field coupling between said
one of said first and second resonant posts of said first adjacent pair of resonant
posts and said another of said first and second resonant posts of said second, said
third and said fourth adjacent pair of resonant posts.
9. The resonator of any preceding claim, wherein said pairs of resonant posts are arranged
at least one of linearly, curvilinearly, rectilinearly and in a circular grid.
10. The resonator of any preceding claim, wherein said pairs of resonant posts are arranged
in rows and columns of an 'N x N' matrix.
11. The resonator of any preceding claim, wherein each intra-pair gap is orientated to
control magnetic field coupling between adjacent pairs of resonant posts.
12. The resonator of any preceding claim, wherein each intra-pair gap is orientated to
be transverse to said rows and columns.
13. The resonator of any preceding claim, wherein each intra-pair gap is orientated at
45° to said rows and columns.
14. The resonator of any preceding claim, wherein each pair of resonant posts comprises
opposing elongate posts, symmetric about said intra-pair gap.
15. A method of radio frequency filtering, comprising passing a signal for filtering through
at least one resonator, each resonator comprising:
a resonant chamber defined by a first wall, a second wall opposing said first wall
and side walls extending between said first wall and said second wall;
pairs of resonant posts, each pair of resonant posts comprising a first resonant post
separated from a second resonant post by an intra-pair gap and located in proximity
with each other for magnetic field coupling between said first resonant post and said
second resonant post, said first resonant post being grounded on said first wall and
extending into said resonant chamber from said first wall, said second resonant post
being grounded on said second wall and extending into said resonant chamber from said
second wall; and wherein
said pairs of resonant posts are separated by an inter-pair gap and located in proximity
with each other for magnetic field coupling between said pairs of resonant posts.