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LOW CROSS-POLARIZED COMPACT RANGE FEEDS

                                                   Jeffrey A. Fordham
                                      Microwave Instrumentation Technologies, LLC.
                                           4500 River Green Parkway, Suite 200
                                                 Duluth, Georgia 30091

                                                     James H. Cook, Jr.
                                                  Scientific-Atlanta, Inc.
                                              4311 Communications Drive 30-J
                                                        P.O. Box 6850
                                                    Norcross, GA 30091


                        Abstract                               In these types of geometry systems and assuming the
                                                               reflector(s) are properly aligned, the cross-polarization
Compact antenna test ranges intended for low cross-            discrimination of the compact range feed becomes the
polarization antenna measurements require the use of           dominant factor. Feeds used for single reflector compact
feeds with polarization ratios typically greater than 40       ranges typically are designed to only have -35 dB of cross-
dB across the included angle of the quiet zone as well as      polarization on-axis and -25 dB across the quiet zone since
across the frequency band of interest. The design for a        the cross-polarization induced by the feed tilt angle will
series of circular corrugated aperture feeds to meet           dominate the quiet zone. In order to support low cross-
these requirements is presented. The feeds are based           polarization compact range systems, a new design
on a circular waveguide OMT covering a full                    requirement has been placed upon the antenna used to feed
waveguide frequency band with interchangeable                  these ranges.
corrugated apertures to cover three sub-bands. In
order to validate the design of this series of scalar feeds,   The requirement for this new feed is that it must possess a
high accuracy cross-polarization data was collected.           linear polarization ratio greater than the desired
The primary limiting factor in the measurement of the          measurement levels across the full projected aperture of
polarization ratio was the finite polarization ratio of        the quiet zone as illustrated in Figure 1. A further
the source antennas. A technique for correcting for the        requirement that the feed operate across the bandwidth of
polarization ratio of the source is presented along with       the system further complicates the design.
measured data on the feeds. The technique begins with          For the geometry shown in Figure 1, where the primary
the accurate characterization of the linear polarization       feed axis is pointed at the vertex of the compact range
ratio of the standard gain horns using a three antenna         reflector, this translates into a linear polarization
technique, followed by pattern measurements of the             requirement within about a 40-degree cone about the feed
feeds, and ends with the removal of the polarization           axis.     To support high accuracy compact range
error due to the source antenna from the measured              measurements utilizing the geometry shown in Figure 1,
data. Measured data on these feeds is presented before         the cross-polarization introduced by the source should be
and after data correction along with data predicted            on the order of -43 dB.
using the CHAMP® moment method software.
                                                                               2. Feed Configuration
Keywords:    Cross-Polarization,       Compact      Range,
Measurement Systems                                            The feed configuration chosen to meet these design
                                                               requirements is a corrugated circular aperture similar to the
                    1. Introduction:                           prime-focus waveguide feeds shown in Olver, et al[3].
Conventional compact ranges are limited by the geometry        These new feeds, however, use a corrugation design with
induced cross-polarization errors associated with an offset    stepped rings, and a reduced aperture to widen the
feed to cross-polarization measurements of about -30 dB        beamwidth of the feed and to equalize the E and H plane
for large test apertures. To collect high-accuracy cross-      beamwidths. The aperture design of one of these feeds is
polarization measurements in a compact range, either a         shown in Figure 2.
dual-reflector compact range configuration or a unique
single reflector with a post processing technique such as
the ECCA technique [1,2] must be used.
Figure 1: Compact Range Feed pointing angles overlaid on the Layout of the Quiet Zone of a MI Technologies
   Model 5712 Compact Antenna Range Reflector.



These feeds were designed to support either single           λg2 = wavelength in the aperture at the low end of the band
polarization or switchable dual linear polarization. In
designing these feeds further requirements were placed on    BW p = Percentage bandwidth.
the compact range feed system to support an operational      Each of these subbands are covered by a separate
band of frequencies from 1.1 GHz through 40 GHz.             removable aperture section.
This operational band is covered by the MI Technologies
Model 31[4] and 33 series of compact range feeds. Each of
these feeds covers a typical waveguide band of
frequencies. In order to meet the cross-polarization
requirements across each waveguide band, the bands were
broken down into three subbands of approximately 23%
bandwidth based on the wavelength of the feed in the
waveguide according to the following equation.


         λ g1 − λ g 2
BW p =                  * 100 %
         λ g1 + λ g 2             (1)                            Figure 2: Cross Section of the Low-Cross
                                                                 Polarization Compact Range Feed Aperture.
Where,
λg1 = wavelength in the aperture at the high end of the
band
Figure 3: E-plane, H-plane, and intercardinal plane primary polarization, and intercardinal plane cross-polarization for
                                             the Model 31-12M_LB at 12.4 GHz.


                 3. Predicted Results                             A measurement program was undertaken to characterize a
                                                                  number of standard gain horns to be able to select the one
This series of feeds was designed with the aid of the             with the lowest cross-polarization. This program utilized
"Corrugated Horn Analysis by Moment Method Program,"              the three-antenna polarization characterization technique
(CHAMP) code.                                                     outlined by Newell [5].
Figure 3 shows E   -plane, H-plane, and intercardinal plane       Using the complex linear polarization ratio and tilt angle
primary polarization along with the cross-polarization in         determined by the three-antenna method, the source
the intercardinal plane for the Model 31-12M_LB                   antenna cross-polarization contribution to the measurement
operating at 12.4 GHz. Note that over the 40-degree cone          was removed using equation 7.
about the feed axis, the highest cross-polarization level is
-43 dB and occurs in the intercardinal plane.                     Equation 7 is derived from the reaction equations as
                                                                  follows:
Figure 4 shows the predicted performance of the Model
31-1.7M-HB feed at the low and high operating
frequencies across the quiet zone of the feed/reflector              D ' AS = X A * X S − Y A * YS (2)
system.
             4. Measurement Technique                                D " AS = X A * X S + YA *YS      (3)
In order to verify the cross-polarization levels predicted
using the CHAMP moment method software, a set of feeds            Where;
was constructed and tested. This test program was
constrained by the difficulties of making cross-polarization      D'AS = Co-polarized measurement
measurements on the order of -40 to -50 dB. After most
                                                                  D" AS = Cross-Polarized Measurement
sources of errors in the measurement were accounted for,
the error associated with the linear polarization ratio of the    X, Y = complex components of the elliptically polarized
source antenna was the most significant.                          wave. A, S represent the AUT and Source respectively.
                                                                  Taking the ratio of equations 2 and 3 and substituting;


                                                                            XA                          XS
                                                                     pA =      (4)               pS =      (5)
                                                                            YA                          YS
Yields the ratio of the co-polarized to the cross-polarized
measurement QAS ,


             pA + pS
  QAS =                 (6)
           p A * pS − 1


Finally, solving for p A gives the corrected AUT linear
polarization ratio.


         p S + QAS
  pA =             (7)
          QAS − 1


                  5. Measured Data
                                                                                               (a)
The cross-polarization required by these feeds is -43 dB
over a 40-degree cone about the centerline of the feed.
The maximum cross-polarization from a scalar feed occurs
in the intercardinal planes (±45 degrees). The intercardinal
plane patterns for the Model 31-12M-LB is shown in
Figures 5a and 5b for the low and high ends of its
operational band. For each plot presented, 5 traces are
shown; the measured and predicted co-polarized patterns,
and measured, predicted and corrected cross-polarized
patterns.    The corrected cross-polarized patterns are
corrected for the error introduced by the standard gain
horn's linear polarization ratio using the method outlined in
Section 4.
The first plot in Figure 5 is taken on the lowband aperture
at 12.4 GHz. The corrected cross-polarization meets the
required specification over a ±45° range and agrees well
with the predicted data. The standard gain horn used for
this measurement had a linear polarization ratio of -48 dB.
The second plot, Figure 5(b), was taken using a standard
gain horn with a measured linear polarization ratio of
greater than -72 dB. Therefore this source horn did not                                        (b)
introduce much error into the cross-polarization
measurement.       This plot shows excellent agreement            Figure 4: Cross-Polarization across the quiet zone shown
between the measured and predicted cross-polarization.            in Figure 1 for the Model 31-1.1M-HB. (a) 1.5 GHz (b) 1.7
                                                                  GHz
The final design requirement to test is the return loss for
the feed. Figure 5(c) shows the return loss for the Model
12M-LB for 12.4 GHz to 18.0 GHz although the actual                                   6. Summary
operating band for this feed is only 12.4 to 14.0 GHz. The
worst case return is -13.5 dB across the operating band.        A series of circular corrugated aperture feeds to meet the
                                                                requirements for testing low cross-polarized antennas in
                                                                compact ranges has been presented. This series of very
low, wide bandwidth feeds have been developed to cover a
frequency band from 1.1 to 40.0 GHz based on the MI
Technologies' Model 31 waveguide OMT and Model 33
feeds. Individually each feed aperture covers a bandwidth
of approximately 23% with 3 apertures per full waveguide
band. These feeds have been developed, tested and shown
to exhibit a cross-polarization greater than 43 dB across a
full 40° cone about the centerline of the aperture.
                      References
[1]"Cross-Polarization    Measurement       Accuracy
Improvement on a Single Reflector Compact Range,"
David C. Cook, James H. Cook, Jr., Rebecca Kaffezakis,
                                                                                           (a)
AMTA 1996 Proceedings, p. 394
[2] "High-Accuracy Cross-Polarization Measurements
Using a Single-Reflector Compact Range," Christopher A.
Rose and James H. Cook, Jr., IEEE Antennas and
Propagation Magazine, Vol. 41, No. 2, April 1999.
[3] Microwave Horns and Feeds, A.D. Olver, P.J.B.
Clarricoats, A.A. Kishk, and L. Shafai, New York: IEEE
Press, 1994.
[4] "A Dual-Ported, Dual-Polarized Spherical Near-Field
Probe," J.R. Jones and D.P. Hardin, AMTA 1983
Proceedings
[5] "Improved Polarization Measurements Using a
Modified Three Antenna Technique," Allen C. Newell,                                        (b)
Procedings of IEEE Int. AP Symp., Urbina-Champagne,
Ill., June, 1975.




                                                                                           (c)
                                                              Figure 5: Performance Data for the Model 31M-12-LB
                                                              feed. (a) Pattern data at 12.4 GHz. (b) Pattern data at 14.0
                                                              GHz. (c) Return Loss data vs. the full waveguide
                                                              bandwidth of the Model 31 Feed.
LOW CROSS-POLARIZED COMPACT RANGE FEEDS

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LOW CROSS-POLARIZED COMPACT RANGE FEEDS

  • 1. LOW CROSS-POLARIZED COMPACT RANGE FEEDS Jeffrey A. Fordham Microwave Instrumentation Technologies, LLC. 4500 River Green Parkway, Suite 200 Duluth, Georgia 30091 James H. Cook, Jr. Scientific-Atlanta, Inc. 4311 Communications Drive 30-J P.O. Box 6850 Norcross, GA 30091 Abstract In these types of geometry systems and assuming the reflector(s) are properly aligned, the cross-polarization Compact antenna test ranges intended for low cross- discrimination of the compact range feed becomes the polarization antenna measurements require the use of dominant factor. Feeds used for single reflector compact feeds with polarization ratios typically greater than 40 ranges typically are designed to only have -35 dB of cross- dB across the included angle of the quiet zone as well as polarization on-axis and -25 dB across the quiet zone since across the frequency band of interest. The design for a the cross-polarization induced by the feed tilt angle will series of circular corrugated aperture feeds to meet dominate the quiet zone. In order to support low cross- these requirements is presented. The feeds are based polarization compact range systems, a new design on a circular waveguide OMT covering a full requirement has been placed upon the antenna used to feed waveguide frequency band with interchangeable these ranges. corrugated apertures to cover three sub-bands. In order to validate the design of this series of scalar feeds, The requirement for this new feed is that it must possess a high accuracy cross-polarization data was collected. linear polarization ratio greater than the desired The primary limiting factor in the measurement of the measurement levels across the full projected aperture of polarization ratio was the finite polarization ratio of the quiet zone as illustrated in Figure 1. A further the source antennas. A technique for correcting for the requirement that the feed operate across the bandwidth of polarization ratio of the source is presented along with the system further complicates the design. measured data on the feeds. The technique begins with For the geometry shown in Figure 1, where the primary the accurate characterization of the linear polarization feed axis is pointed at the vertex of the compact range ratio of the standard gain horns using a three antenna reflector, this translates into a linear polarization technique, followed by pattern measurements of the requirement within about a 40-degree cone about the feed feeds, and ends with the removal of the polarization axis. To support high accuracy compact range error due to the source antenna from the measured measurements utilizing the geometry shown in Figure 1, data. Measured data on these feeds is presented before the cross-polarization introduced by the source should be and after data correction along with data predicted on the order of -43 dB. using the CHAMP® moment method software. 2. Feed Configuration Keywords: Cross-Polarization, Compact Range, Measurement Systems The feed configuration chosen to meet these design requirements is a corrugated circular aperture similar to the 1. Introduction: prime-focus waveguide feeds shown in Olver, et al[3]. Conventional compact ranges are limited by the geometry These new feeds, however, use a corrugation design with induced cross-polarization errors associated with an offset stepped rings, and a reduced aperture to widen the feed to cross-polarization measurements of about -30 dB beamwidth of the feed and to equalize the E and H plane for large test apertures. To collect high-accuracy cross- beamwidths. The aperture design of one of these feeds is polarization measurements in a compact range, either a shown in Figure 2. dual-reflector compact range configuration or a unique single reflector with a post processing technique such as the ECCA technique [1,2] must be used.
  • 2. Figure 1: Compact Range Feed pointing angles overlaid on the Layout of the Quiet Zone of a MI Technologies Model 5712 Compact Antenna Range Reflector. These feeds were designed to support either single λg2 = wavelength in the aperture at the low end of the band polarization or switchable dual linear polarization. In designing these feeds further requirements were placed on BW p = Percentage bandwidth. the compact range feed system to support an operational Each of these subbands are covered by a separate band of frequencies from 1.1 GHz through 40 GHz. removable aperture section. This operational band is covered by the MI Technologies Model 31[4] and 33 series of compact range feeds. Each of these feeds covers a typical waveguide band of frequencies. In order to meet the cross-polarization requirements across each waveguide band, the bands were broken down into three subbands of approximately 23% bandwidth based on the wavelength of the feed in the waveguide according to the following equation. λ g1 − λ g 2 BW p = * 100 % λ g1 + λ g 2 (1) Figure 2: Cross Section of the Low-Cross Polarization Compact Range Feed Aperture. Where, λg1 = wavelength in the aperture at the high end of the band
  • 3. Figure 3: E-plane, H-plane, and intercardinal plane primary polarization, and intercardinal plane cross-polarization for the Model 31-12M_LB at 12.4 GHz. 3. Predicted Results A measurement program was undertaken to characterize a number of standard gain horns to be able to select the one This series of feeds was designed with the aid of the with the lowest cross-polarization. This program utilized "Corrugated Horn Analysis by Moment Method Program," the three-antenna polarization characterization technique (CHAMP) code. outlined by Newell [5]. Figure 3 shows E -plane, H-plane, and intercardinal plane Using the complex linear polarization ratio and tilt angle primary polarization along with the cross-polarization in determined by the three-antenna method, the source the intercardinal plane for the Model 31-12M_LB antenna cross-polarization contribution to the measurement operating at 12.4 GHz. Note that over the 40-degree cone was removed using equation 7. about the feed axis, the highest cross-polarization level is -43 dB and occurs in the intercardinal plane. Equation 7 is derived from the reaction equations as follows: Figure 4 shows the predicted performance of the Model 31-1.7M-HB feed at the low and high operating frequencies across the quiet zone of the feed/reflector D ' AS = X A * X S − Y A * YS (2) system. 4. Measurement Technique D " AS = X A * X S + YA *YS (3) In order to verify the cross-polarization levels predicted using the CHAMP moment method software, a set of feeds Where; was constructed and tested. This test program was constrained by the difficulties of making cross-polarization D'AS = Co-polarized measurement measurements on the order of -40 to -50 dB. After most D" AS = Cross-Polarized Measurement sources of errors in the measurement were accounted for, the error associated with the linear polarization ratio of the X, Y = complex components of the elliptically polarized source antenna was the most significant. wave. A, S represent the AUT and Source respectively. Taking the ratio of equations 2 and 3 and substituting; XA XS pA = (4) pS = (5) YA YS
  • 4. Yields the ratio of the co-polarized to the cross-polarized measurement QAS , pA + pS QAS = (6) p A * pS − 1 Finally, solving for p A gives the corrected AUT linear polarization ratio. p S + QAS pA = (7) QAS − 1 5. Measured Data (a) The cross-polarization required by these feeds is -43 dB over a 40-degree cone about the centerline of the feed. The maximum cross-polarization from a scalar feed occurs in the intercardinal planes (±45 degrees). The intercardinal plane patterns for the Model 31-12M-LB is shown in Figures 5a and 5b for the low and high ends of its operational band. For each plot presented, 5 traces are shown; the measured and predicted co-polarized patterns, and measured, predicted and corrected cross-polarized patterns. The corrected cross-polarized patterns are corrected for the error introduced by the standard gain horn's linear polarization ratio using the method outlined in Section 4. The first plot in Figure 5 is taken on the lowband aperture at 12.4 GHz. The corrected cross-polarization meets the required specification over a ±45° range and agrees well with the predicted data. The standard gain horn used for this measurement had a linear polarization ratio of -48 dB. The second plot, Figure 5(b), was taken using a standard gain horn with a measured linear polarization ratio of greater than -72 dB. Therefore this source horn did not (b) introduce much error into the cross-polarization measurement. This plot shows excellent agreement Figure 4: Cross-Polarization across the quiet zone shown between the measured and predicted cross-polarization. in Figure 1 for the Model 31-1.1M-HB. (a) 1.5 GHz (b) 1.7 GHz The final design requirement to test is the return loss for the feed. Figure 5(c) shows the return loss for the Model 12M-LB for 12.4 GHz to 18.0 GHz although the actual 6. Summary operating band for this feed is only 12.4 to 14.0 GHz. The worst case return is -13.5 dB across the operating band. A series of circular corrugated aperture feeds to meet the requirements for testing low cross-polarized antennas in compact ranges has been presented. This series of very
  • 5. low, wide bandwidth feeds have been developed to cover a frequency band from 1.1 to 40.0 GHz based on the MI Technologies' Model 31 waveguide OMT and Model 33 feeds. Individually each feed aperture covers a bandwidth of approximately 23% with 3 apertures per full waveguide band. These feeds have been developed, tested and shown to exhibit a cross-polarization greater than 43 dB across a full 40° cone about the centerline of the aperture. References [1]"Cross-Polarization Measurement Accuracy Improvement on a Single Reflector Compact Range," David C. Cook, James H. Cook, Jr., Rebecca Kaffezakis, (a) AMTA 1996 Proceedings, p. 394 [2] "High-Accuracy Cross-Polarization Measurements Using a Single-Reflector Compact Range," Christopher A. Rose and James H. Cook, Jr., IEEE Antennas and Propagation Magazine, Vol. 41, No. 2, April 1999. [3] Microwave Horns and Feeds, A.D. Olver, P.J.B. Clarricoats, A.A. Kishk, and L. Shafai, New York: IEEE Press, 1994. [4] "A Dual-Ported, Dual-Polarized Spherical Near-Field Probe," J.R. Jones and D.P. Hardin, AMTA 1983 Proceedings [5] "Improved Polarization Measurements Using a Modified Three Antenna Technique," Allen C. Newell, (b) Procedings of IEEE Int. AP Symp., Urbina-Champagne, Ill., June, 1975. (c) Figure 5: Performance Data for the Model 31M-12-LB feed. (a) Pattern data at 12.4 GHz. (b) Pattern data at 14.0 GHz. (c) Return Loss data vs. the full waveguide bandwidth of the Model 31 Feed.