U.S. patent number 3,597,710 [Application Number 04/880,556] was granted by the patent office on 1971-08-03 for aperiodic tapered corrugated waveguide filter.
This patent grant is currently assigned to Microwave Development Laboratories, Inc.. Invention is credited to Ralph Levy.
United States Patent |
3,597,710 |
Levy |
August 3, 1971 |
APERIODIC TAPERED CORRUGATED WAVEGUIDE FILTER
Abstract
A waveguide band-pass filter utilizes a sequence of capacitive
irises to form corrugations within the rectangular waveguide. The
capacitive irises are aperiodically spaced along the guide and the
capacitance of consecutive irises in the sequence are of different
values. The waveguide has its height tapering in steps and each
capacitive iris in the sequence is situated between waveguide
sections of different heights.
Inventors: |
Levy; Ralph (Newton, MA) |
Assignee: |
Microwave Development Laboratories,
Inc. (Needham Heights, MA)
|
Family
ID: |
25376549 |
Appl.
No.: |
04/880,556 |
Filed: |
November 28, 1969 |
Current U.S.
Class: |
333/210 |
Current CPC
Class: |
H01P
1/211 (20130101) |
Current International
Class: |
H01P
1/211 (20060101); H01P 1/20 (20060101); H03h
007/10 () |
Field of
Search: |
;333/73,73W,79,76 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Saalbach; Herman Karl
Assistant Examiner: Chatmon, Jr.; Saxfield
Claims
I claim:
1. A waveguide filter comprising a rectangular waveguide having a
first sequence of capacitive irises forming corrugations within the
guide, the capacitive irises in the first sequence being
aperiodically spaced along the guide, each iris in the first
sequence being of different capacitance, and the height of the
waveguide containing the first sequence of irises being tapered
whereby each capacitive iris in the first sequence is situated
between waveguide sections of different heights.
2. The waveguide filter according to claim 1, wherein the tapered
waveguide containing the first sequence of irises has its greatest
height at the input end of the filter.
3. The waveguide filter according to claim 1, wherein the
capacitance of consecutive irises in the first sequence changes
monotonically.
4. The waveguide filter according to claim 3, further including a
second sequence of capacitive irises disposed in the rectangular
waveguide and forming corrugations therein, the second sequence of
capacitive irises being a mirror image of the first sequence, and
the height of the waveguide containing the second sequence of
irises being tapered oppositely to the taper of the waveguide
containing the first sequence whereby the tapered waveguide of the
second sequence of irises has its greatest height at the output of
the filter.
Description
FIELD OF THE INVENTION
This invention relates to frequency selective passive apparatus for
filtering signals which are in the microwave portion of the
electromagnetic frequency spectrum. More particularly the invention
relates to waveguide filters of the corrugated and waffle-iron
types.
BACKGROUND OF THE INVENTION
In waveguide filters of the type here considered, the low and high
impedance sections of the filter are realized by raising and
lowering the height of the waveguide which results in corrugation
of the waveguide. A waffle-iron filter is basically a corrugated
filter except that the waffle-iron filter is slotted in the
longitudinal direction to reduce spurious responses in the stop
band caused by higher order modes. Corrugated and waffle-iron
waveguide filters are usually low-pass in operation, but because
waveguide has a cutoff frequency, those filters cannot operate to
DC as do most low-pass filters. Because of the corrugations in the
waveguide, modes having variations in the direction of the
waveguide height are cutoff up to very high frequencies. Corrugated
waveguide filters, therefore, have good stop band
characteristics.
In the corrugated and waffle-iron low-pass waveguide filters here
considered, the corrugations are small compared to a quarter
wavelength at the pass band frequencies. Such filters are the
waveguide equivalent of the common series-inductive,
shunt-capacitance, ladder-type, low-pass filter. The waveguide
nature of the corrugated and waffle-iron filters, however, makes it
difficult to design them as a direct approximation of the
lumped-element, low-pass filter.
The conventional corrugated or waffle-iron filter is a uniform
structure in which the low and high impedance sections alternate
and recur periodically. When such a filter is designed by the image
parameter method the upper cutoff frequency is not accurately
predictable and large VSWR (voltage standing wave ratio) ripples
are encountered when approaching the upper cutoff. Further, an
impedance transformer is required to match the filter to standard
waveguide. The impedance transformers at the input and output of
the conventional corrugated or waffle-iron filter materially
increases the length of the transmission line. A considerable
reduction in length can be achieved where the filter can be
connected directly to the waveguide without requiring an
intervening impedance transformer.
OBJECT OF THE INVENTION
The primary object of the invention is to provide a corrugated or
waffle-iron waveguide filter that can be connected to the
transmission waveguide without requiring intervening impedance
matching devices. A further objective of the invention is to
provide a waveguide filter of the corrugated or waffle-iron type
which is characterized by substantially equiripple performance
across the pass band.
THE INVENTION
The invention resides in a waveguide filter of the corrugated or
waffle-iron type in which the height of the waveguide is tapered
and in which the filter sections of high and low impedance are
aperiodic.
THE DRAWINGS
The invention can be better understood from the exposition which
follows when it is considered in conjunction with the drawings in
which:
FIG. 1 depicts, in cross section, a conventional corrugated filter
employing transformers to match the filter to standard
waveguide;
FIG. 2 is a cross-sectional view of a waveguide filter formed by a
sequence of thick capacitive irises spaced along a hollow
waveguide;
FIG. 3 symbolizes a generalized distributed low-pass prototype
filter in impedance inverter form with unity line impedances;
FIG. 4 symbolizes the generalized distributed low-pass prototype
filter with line impedances of generalized values;
FIG. 5 depicts an embodiment of the invention in which the height
of the waveguide tapers from the meddle toward the ends;
FIG. 6 depicts the preferred embodiment of the invention in which
the height of the waveguide tapers from the ends toward the
middle;
FIG. 6A depicts a stepped structure employed in the preferred
embodiment;
FIG. 7 symbolizes an impedance inverter disposed between lines of
different impedances;
FIG. 8 depicts a physical structure realizing the arrangement
symbolized in FIG. 7;
FIG. 9A is a front elevational view of a capacitive iris in a
rectangular waveguide;
FIG. 9B is a sectional view taken along the parting plane 9B-9B in
FIG. 9A;
FIG. 9C symbolizes the equivalent circuit of the FIG. 9B structure;
and
FIG. 10 is a front elevational view of a waffle iron filter
embodying the invention.
THE EXPOSITION
FIG. 1 shows a conventional corrugated filter 1 having impedance
transformers 2 and 3 connecting the input and output of the filter
to standard waveguides 4 and 5. "Standard" waveguide, in the
context of this exposition, means the commonly available waveguide
whose dimensions have been fixed by the Electronics Industry
Association (EIA) and which is designated by a number preceded by
WR, as in WR-90. The filter 1 is a periodic waveguide structure
having sections of high and low impedance which result from
abruptly raising and lowering the height of the waveguide. The high
and low impedance sections alternate and thus form corrugations in
the waveguide. The corrugations, in the longitudinal direction of
the guide, are small compared to a quarter wavelength at the pass
band frequencies. The input waveguide 4 is connected to a quarter
wave .lambda.g(4), ), stepped, impedance transformer 2 which, in
the illustration, has five sections of decreasing height, the
section of smallest height being joined to the input port 1A of the
filter. The output port 1B of the filter is connected to a similar
quarter wave, stepped impedance transformer 3 having its section of
greatest height connected to the output waveguide 5. The impedance
transformers are necessary to permit the corrugated filter to be
matched to standard waveguide. The length of the transformer is
substantial in comparison to the length of the corrugated
waveguide. In situations where compactness is a desirable
attribute, elimination of the transformers obviously is conducive
to that objective. However the transformers cannot be eliminated
from the conventional corrugated filter without seriously degrading
the performance of that filter when it is inserted in standard
waveguide. Because the conventional corrugated filter is
essentially a periodic structure, large ripples are encountered in
the pass band as the upper cutoff frequency is approached. Further,
the image parameter method of designing the conventional corrugated
waffle-iron filter does not permit accurate prediction of the upper
cutoff frequency.
FIG. 2 is a cross-sectional view of a waveguide filter formed by a
sequence of thick capacitive irises C1, C2...C7 spaced along the
interior of a hollow rectangular waveguide W1 in the manner
disclosed in my patent application Ser. No. 786,967, filed Dec. 26,
1968. This capacitive iris filter can be matched to standard
waveguide without requiring impedance transformers simply by
arranging the thick capacitive irises in a length of standard
waveguide. The capacitive iris arrangement provides moderate
harmonic rejection in a filter of very short length. The thick
capacitive iris filter is derived from the generalized distributed
low-pass prototype filter shown in impedance inverter form in FIG.
3. In that prototype, the line impedances between the impedance
inverters K.sub.1, K.sub.2 ...K.sub.N.sub.+1 are all of unity
impedance, viz., Z.sub.0 =1., as explained in the above-cited
copending application. In that prototype, the impedance inverter is
given by
where V.sub.i is the junction VSWR (voltage standing wave ratio) as
discussed in my monograph "Table Of Element Values For The
Distributed Low-Pass Prototype Filter," IEEE Transactions on
Microwave Theory and Technique, Vol. MTT-13, No. 5, Sept. 1965.
Consider now a similar generalized distributed low-pass prototype
filter, shown in FIG. 4, in which the line impedances between the
impedance inverters K.sub.1, K.sub.2, etc., instead of all being of
unity impedance, take on general values Z.sub.i. The impedance
inverter between lines Z.sub.i.sub.-1 and Z.sub.i is given by
where v.sub.i is the junction VSWR of the ordinary distributed
low-pass prototype. Note that when Z.sub.i.sub.-1 =Z.sub.i =1 we
have
as in the FIG. 3 prototype.
By choosing suitable values for the main line impedance Z.sub.i, we
can cause the waveguide heights to taper in any desired manner.
Thus, we can produce an aperiodic corrugated filter in which the
waveguide height tapers from the center outwardly as in FIG. 5 or
an aperiodic corrugated filter in which the waveguide height tapers
inwardly toward the center as in FIG. 6. The FIG. 6 embodiment can
be constructed by corrugating the interior of a length of standard
waveguide. If that is down, the filter can be connected directly to
standard waveguide without requiring an intervening impedance
transformer.
The realization of an impedance inverter K.sub.i disposed between
lines whose impedances Z.sub.1 and Z.sub.2 are different is
symbolically depicted in FIG. 7. It is always possible to find
reference planes P1 and P2 to convert the asymmetric structure
depicted in FIG. 8 to the "symmetric" impedance inverter K.sub.i
indicated in FIG. 7. The plane P1 is located 1/2.phi..sub.1 from
the forward face of the thick capacitive iris and plane P2 is
located 1/2.phi..sub.2 from the rear face of the thick capacitive
iris. It is necessary to measure the actual electrical length
between any pair of adjacent irises in the filter from the
reference planes on either side of the irises to account for the
phase shift introduced by the irises.
FIG. 9A depicts a thick capacitive iris in a rectangular waveguide.
FIG. 9B is a sectional view taken along the parting plane 9B-9B in
FIG. 9A. In FIG. 9A, the waveguide height is denoted by b in
accordance with conventional notation and should not be confused
with a normalized susceptance. FIG. 9B is identical to FIG. 8, and
shows waveguide heights of b.sub.1 and b .sub.2 on either side of
the capacitive iris, where b.sub.1 and b.sub.2 are each less than
the main waveguide height b. The equivalent circuit of the thick
asymmetrical capacitive iris is symbolized in FIG. 9C. The transfer
matrix of the thick iris equivalent circuit of FIG. 9C, including
the fringing capacitances, is
The mathematics which follow are a generalization of equations 10
through 13 given in the cited copending application. Because the
distances 1/2.phi..sub.1 and 1/2.phi..sub.2 to the reference planes
located on each side of the thick iris (FIG. 8) are, in general,
different, equation 11 in the cited copending application becomes
two conditions, giving .phi..sub.1 and .phi..sub.2. The actual
equations are, ##SPC1##
is the insertion loss of the thick iris when terminated in
resistive impedances Z.sub.1 and Z.sub.1.
Note that when Z.sub.1 =Z.sub.2 =1, then .phi..sub.1 =.phi..sub.2
=.phi. and equations 11 to 13 of the copending application result
from the foregoing equations.
The structure shown in FIG. 6 is the preferred embodiment of the
invention because it permits standard waveguide to be employed in
its fabrication. If in that embodiment, the thickness t.sub.1,
t.sub.2...of the capacitive irises is uniform throughout the
filter, and because the capacitance of the capacitive sections
increases from the ends of the filter toward the central portion,
the iris gaps h.sub.1, h.sub.2, h .sub.3, h.sub.4 become
progressively narrower. It is not, however, a necessary condition
that the irises all be of the same thickness t. The distances
1.sub.1, 1.sub.2...1.sub.n, measured between the faces of the
irises, are in general different so that the irises are
aperiodically spaced along the guide. In the preferred embodiment,
the lengths 1.sub.1, 1.sub.2, 1.sub.3 become progressively shorter
as the center of the filter is approached. The waveguide heights
b.sub.1, b.sub.2, b.sub.3 also become progressively smaller,
causing the waveguide height to taper in steps from the ends toward
the middle of the filter, In a filter having many sections, the
center sections may all be uniform, as in the conventional
corrugated filter, with the taper occurring over the first three or
four filter sections at each end.
The embodiment of FIG. 6 can be constructed by securing two
identical stepped elements 8 and 9 in a length 10 of standard
hollow rectangular waveguide. Each stepped element may be of the
form depicted in FIG. 6A and can be made from a single slab of
metal. The elements 8 and 9 are brazed or otherwise fastened within
the waveguide to the top and bottom broad walls in a manner
assuring good electrical continuity between the joined parts. The
filter embodiment depicted in FIG. 6 is a symmetrical structure
which permits either end to serve as the input port with the other
end serving as the output port.
In the preferred embodiment of FIG. 6 the sections are tapered to
cause the filter to terminate in waveguide having a height b that
matches the height of standard waveguide. In the preferred
embodiment, the requirement for a transformer to match the standard
waveguide to the filter is completely eliminated. The tapered
sections in the filter may be viewed as combining the impedance
matching function with a filtering function. This is especially so
in a filter having a large number of sections in which the
impedance matching is performed by three or four tapering sections
at each end of the filter with the central portion of the filter
being corrugated in the manner of the conventional filter.
In some situations, it may not be feasible or desirable to
completely eliminate the conventional impedance matching
transformers. In such circumstances, the aperiodic tapered filter
can be constructed to terminate in waveguide which is of a
different height b from the standard waveguide and a conventional
device may be employed to provide the requisite impedance match.
That is, referring to FIG. 6, the tapered sections may terminate in
a waveguide of height b which is somewhat less than the height of a
standard waveguide and a quarter wave stepped transformer may then
be employed to connect the terminating waveguide to the standard
waveguide in the transmission line. The advantage of such a
procedure is that the transformer need not have as many steps as in
the conventional arrangement of FIG. 1 and therefore a reduction in
length is obtained by employing an aperiodic tapered filter even
where that filter does not provide complete matching to standard
waveguide.
The embodiment of the invention depicted in FIG. 5 has sections
arranged to cause the filter to taper from the middle toward the
ends. Thus in the FIG. 5 embodiment, the waveguide height b.sub.1,
b.sub.2, b.sub.3 becomes progressively smaller in proceeding away
from the center of the filter while the distances 1.sub.1, 1.sub.2,
1.sub.3 become progressively larger due to the increase in
reference plane spacing which accompanies the decrease in gap
susceptance. Assuming the standard waveguide height must be equal
to or larger than the height of the largest section, the FIG. 5
filter, because of the direction of its taper, terminates in a
waveguide of height b.sub.t which is substantially smaller than the
standard waveguide height and therefore transformers are required
to match the terminal waveguide to standard waveguide.
A waffle-iron filter can be obtained by modifying the aperiodic
tapered corrugated filter here described to have slots, as
indicated in FIG. 10, which extend in the longitudinal direction
through the high and low impedance sections of the waveguide. The
longitudinal slots, as is known, reduce the spurious response in
the stop band caused by TE on type higher order modes. The
provision of longitudinal slots makes the waffle-iron filter more
difficult and costly to build than the related corrugated type, but
the improved stop band characteristic of the waffle-iron filter, in
many instances, make the waffle-iron filter the preferred type. The
reduction in capacity of the irises caused by the longitudinal
slots can be compensated by narrowing the gap heights h.sub.1,
h.sub.2...or by employing other techniques known to the filter
art.
Because the invention may be embodied in varied forms, it is not
intended that this patent be limited to the precise structures here
illustrated or described. Rather it is intended that the patent be
construed to embrace those filter structures which, in essence,
utilize the invention defined in the appended claims.
* * * * *