RADOME PANEL TRANSMISSIVITY AND REFLECTIVITY MEASUREMENTS Valdis Liepa Changyul Cheon Martin Kuttner Jianming Jin Norman VandenBerg Radiation Laboratory Department of Electrical Engineering and Computer Science The Universityof Michigan Ann Arbor, MI 48109-2122 ReportNo.-9&67-t-F 8 February 1988 Measurements Supervised by:,~-.r- ~ ~.: t.1. ~~.c *~ ~T' Valdis V. Uep Research Scientist.... I *. v-... For E-Systems Greenville Division P.O. Box 1056 Greenville, TX 75401 389617-1-F = RL-2570

SUMMARY Reflectivity and transmissivity measurements have been made on two panels (-1 and -3) supplied by E-systems. In general, the best results were obtained at near-normal incidence angles. Data results for 1.6 GHz are plotted on the next page. The reflectivity measurements provided results which followed theoretical expectations well. Increasing angle of incidence shows a consistent trend towards lower reflection loss as expected. Panel-1 exhibits a higher reflection loss than Panel-3. Numerical values are approximately 21 dB at normal incidence for Panel-1 and 16 dB at normal incidence for Panel-3. The transmissivity measurements using a direct transmission method resulted in some variability in the results especially at higher incidence angles. This result was anticipated at the outset since the transmission loss was expected to be quite small. As a result, energy travelling "around" the panel is significant due to the finite size of the samples and interferes with the direct measurement, especially as angle increases. For angles near normal, the results behave reasonably well. An alternative method was proposed and used to calculate transmissivity in anticipationof these problems, however, this method-proved-even less-effective-than the first. As a result, the transmissivity measurements are judged to be somewhat inconclusive. Nevertheless, transmissivity loss is estimated to be approximately.05 dB for Panel-1 and.25 dB for Panel-3 from the direct method at normal incidence. From experience gained in making these measurements and from examination of various alternative measurements, we believe that a more accurate technique, though limited to a specific angle of incidence at given frequency, would be to measure the panel samples in L-band waveguide. This, however, was beyond the scope of this project, since it would require construction of special calibration fixtures and development of associated techniques and software.

Reflectivity of Radome at 1.6GHz C la cc:0 do Q=.-a p40. P-i 42vert P-i 48vert P-3 42vert P-3 48vert Incident Angle in Degree Transmissivity-i of Radome at 1.6GHz:0 CP C U I-. ib 0 0 C U. C u I-) E 0 c co o 20 40 60 80 Incident Angle In Degree Transmissivity-2 of Radome at 1.6GHz 1 -0. " _ - - - - -- - - - - -a-4 --a. -N P-1 42vert P-i 48vert P-3 42vert P-3 48vert 0 20 40 60 80 Incident Angle in Degree

TABLE OF CONTENTS SUMMARY INTRODUCTION GENERAL TEST DESCRIPTION OUTLINE OF PROCEDURE 1. Transmissivity Measurement - Method I 2. Reflectivity Measurement 3. Transmissivity Measurement - Method II 4. Panel with Lghtning Strips DATA 1 1 5 5 5 6 7 8 8 9 1. 2. 3. Discussion Data Index (Data) Data -. -c- P r-.,.. r, P r ~L\r a) Plots b) Tables 10 35 APPENDIX A Anechoic Chamber APPENDIX B Effect of Curvature on the Reflectivity of Panels 60 61 63 APPENDIX C Transmissivity2 Data Processing

DATA REPORT FOR RADOME PANEL TRANSMISSIVITY AND REFLECTIVITY MEASUREMENTS INTRODUCTION This document outlines the approach used in making transmissivity and reflectivity measurements on material samples under contract to E-systems. It contains a general description of the data collection effort and a presentation of the resultant data. GENERAL TEST DESCRIPTION The measurements were made in the anechoic chamber at the University of Michigan Radiation Laboratory using an HP8753A Network Analyzer and an HP9000-236 Computer to collect and process the data. A block diagram of equipment used is shown in Figure 1. A mounting fixture using strings suspended from the ceiling and guys attached to a frobr-based-positioner-were-usedtminimize interference ot the mount wnththe desired data and to facilitate accurate angle positioning. The same fixture was used for both the sample panels (2) and the reference panel, an aluminum plate. For the reflection measurements, rectangular horns supplied by E-systems were used as transmitting and receiving antennas. A 4x8 foot isolation wall constructed using a 8-inch pyramidal absorber was used to minimize the coupling between antennas. Angular positioning of the antennas was done by triangulation measurements to insure accuracy. Figure 2 shows the configuration of this setup. The transmission measurements were performed using a horn antenna supplied by the Radiation Laboratory as a transmitting antenna located at the tapered end of the anechoic chamber. The receiving antenna was open rectangular waveguide fitted with absorber around it to minimize antenna-sample interaction, and was located directly behind the sample. The configuration is shown in Figure 3. A reference measurement was made with each data collection for later comparison to the sample data. Each panel was measured in two orthogonal positions (i.e. panel measured in one position, then rotated 90~) with vertical polarization. 1

~fE 'ilpA - I a,~ Rec. Antenna NARDA 646 Ser. No. 03002 OR FXR - L634B Ser. No. 214 Network Analyzer Computer I HP8753A Ser. No. 2710A 01265 HP 9000 - 236 N) 20 dB Dir. Coupler NARDA 3042-20 Ser. No. 328 X - mit Antenna NARDA 646 Ser. No. 04003 OR Rad Lab Horn (used In tip of the chamber) l FIg. 1. Equl 3ment block diagram 0

Floor Area 1I Degree I 'osition 70 P Receive Antenna... - A... _J - - - Floor Positioner - vvvvvvv Isolation A-1 Fig. 2. Reflectivity Measurement Set-up. 3

2 ft. I '~~~~,.!: 2ftj Panel I i g. 3.TransssivityMAntenna Fig. 3. Transmissivity Measurement Set-up. 4

OUTLINE OF PROCEDURE. TRANSMISSIVITY MEASUREMENT - METHOD I (data TRANS 1) A. Setup 1. Setup transmit antenna at the tapered end of the anechoic chamber. 2. Place open waveguide antenna with fitted absorber in position at the measurement site. B. Measurement 1. Collect background measurement data 2. Install Panel -1 in the fixture (data -1) a) collect angular data in 10~ increments from 0~ - 70~ (data 0 deg. to 70 deg.) b) rotate panel in fixture 90~ and repeat. (data 42 vert or 48 vert) 3. Install Panel -3 and repeat Step 2. (data -3) II. REFLECTIVITY MEASUREMENT (data REFL) - A. Setup - 1. Position one of the rectangular horns in the transmit position indicated in Figure 2. 2. Position the other rectangular horn at the 10 degree position (20~ degrees from the transmit horn position measured by triangulation from the sample center point). 3. Position the isolation wall (by experimentation) between the antennas so as to minimize the coupling between the antennas while allowing clear illumination of the panel fixture. 5

B. Measurement 1. Install metal plate in fixture and collect data for the maximum return angle. (The maximum return angle is determined experimentally by using the positioner and watching the network analyzer display for the largest return). 2. Install Panel -1 in the fixture. a) collect data at the maximum return angle. b) rotate panel 900 and repeat Step 1. 3. Install Panel -3 in the fixture and repeat Step 2. C. Move Angle -Move receive antenna horn 200 to the next position (up to 1 400 between antennas) and repeat the measurement procedure in B. Ill. TRANSMISSIVITY MEASUREMENT - METHOD 11 (data TRANS 2) A. Setup 1. Setup antennas as indicated in the reflectivity measurement description as in Part 11. 2. Hang sample panel in string fixture together with the aluminum sheet behind. Attach the two together with tape so that the space between them is minimum. B. Measurement 1. Position the fixture to illuminate the aluminum side. Collect reference data for the maximum return angle as in Part II. 2. Rotate the fixture 180 degrees and collect data at the maximum return angle for the panel side. C. Move angle -Move receive antenna progressively in 200 increments as in Part 11 and repeat the measurements. 6

D. Change orientation -Rotate the panel and metal sheet 90~ and repeat procedure. E. Repeat for Panel -3. IV. PANEL WITH LIGHTNING STRIPS A. Setup -Set up antennas as in Part 1: Transmissivity Measurements - Method I B. Measurement 1. Install Panel -1 at normal incidence angle and collect transmission data. 2. Install lightning strip at center and ~20 inches vertically on panel and repeat measurement. C. Polarization -Repeat measurement procedure with both antennas rotated 90~. (data V-pol., H-pol.) 7

DATA 1. DISCUSSION The data presented herein are for Part I (Reflectivity), Part II (Transmissivity 1), Part III (Transmissivity 2) and Part IV. All measurements were made over 1300 - 1800 Mhz. Reflectivity data was measured as discussed above. Presented here are the processed results obtained by dividing linear scale panel reflection by aluminum panel reflection. In addition, a 8ns window equivalent time domain gating was applied to remove unwanted signal interactions. The processed Transmissivity 1 results were obtained by dividing panel transmission by free space (no panel) measurement. Again, 8ns gating was applied. The Transmissivity 2 data was first processed by dividing the panel measurement (panel and aluminum) by the aluminum panel measurement. Gating was also applied. This (reduced) data, contained a combination of transmissivity and reflectivity, and needed further data processing to extract the individual parameters. This data was taken to provide alternative measurements, in case discrepancies or questions arise on reflectivity and transmissivity data. Using equation (3) of Appendix C the data was reduced to give the transmissivity results. The data for the panel with the lightning strips was processed by dividing the panel measurement with the strips installed by the panel measurement without the strips. Gating was used as before. 8

DATA INDEX MEASUREMENT TYPE REFL -1 ORIENTATION 42 48 PLOT PAGES 10 12 DATA PAGES 35 37 TRANS 1-1 REFL -3 TRANS 1-3 TRANS 2 1 42 48 42 48 42 48 42 48 42 48 14 16 18 20 22 24 39 41 43 45 47 49 51 53 55.57 26 — 28 TRANS 2-3.... TRANS 1 -1 (Dot - Dot) 30 32 34 ^ -. T-,r: ' 9 V-pol. H-pol. 9

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FILE:JrIE: PLTt I! OFA FILE TITLE: REFL-1 t -vert Frequency: Frequency: Frequency: Freauency: Freauency: Frequency: GH 1.S35000000 1.539250000 1.543500000 1.536S500000 1.640750000 I.645000000 10deg -rFOL dB MAGNITUDE: -20.4790 MAGNITUDE: -20.46~35 MAGNITUDE: -20.4433 MAGNITUDE: -20.0843 MAGNITUDE: -20.0686 MAGNITUDE: -20.0532 Phase: Phase: Phase: Phase: Phase: Phase: deg +71.53 +? I. S? +71.59 +71.36 +71.32 +71 -.27 FILE NAME: PLT1 -20RA FILE TITLE: REFL-1 42vert GHFrequency: 1.53S0000000 Frequency: 1.539250000 Frequency: 1.543500000 Frequency: 1.636500000 Frequency: 1.64075S0000 Frequency: 1.645000000 FILE NAME: PLT1 30RA FILE TITLE: REFL-1 42vert 20deg tI-POL dB MAGNITUDE: -19.9531 MAGNITUDE: -19.9440 MAGNITUDE: -19.9321 MAGNITUOE: -19.6788 MAGNITUOE: -19.6677 MAGNITUOE: -19.6553 30deg V-POL Phase: Phase: Phase: Phase: Phase: Phase: deg +91.63 +91.66 +91.71 +92.70 +92. 74 +92.78 Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: 6Hz 1.535S000000 r.S3925s000 -1.543500000 1.636500000 1.640750000 1.645000000 dB deg MAGNITUDE: -19.0683 Phase: +87.12..tAGNITUDE -t-9_T708 h --- Phase. ---+87. 10 MAGNITUDE: -19.0699 Phase: +87.07 MAGNITUDE: -18.8893 Phase: +86.49 MAGNITUDE: -18.8733 Phase: +86.52 MAGNITUDE: -18.8526 Phase: +86.55 FILE NAME: PLT _40RA * FILE TITLE: REFL-1 42vert Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: FILE NAME: FILE TITLE: Frequency: Frequency: ce —rency =r eq u c,. ', GHz 1.535000000 1.539250000 1.543500000 1.636500000 1.640750000 1.645000000 PLT1! SORA REFL-1 42vert GH z I.535000000 1.539250000!.543500000 -40deg VMAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: SOdeg uMAGN I TUDE: MAGNITUDE: MAGNITUDE!,GNJ -CE;^bN:~.:E.POL dB -17.7656 -17.7349 -17.7028 -17.4151 -17. 4208 -17. 4258 POL dB -16.4199 -16.4066 -'6.39S -....... -,5, Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: hP e: P - 5 e: deg +80.84 +80.94 +81.05 +83. 95 +84.03 +84.1 0 deg +9-..3. _ - _-..:!

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FILE NAME: PLrT: ET FILE TITLE: TRANSi-1 48vert Odeg U-POL GHFrequency: 1.535000000 MAGNITUDE: Frequency: 1.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.65600000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Freouency: 1.645000000 MAGNITUDE: I. I - 'I - - - - - I - dB.0238.0245.0247.0246.0251.0256 dB.0277.0271.0260.0082.0083.0079 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: deg -4. 3 -4.5 -4.58 -5. 0 -5.: -S.! deg -. -: -3, - - -Z -4.43 -4.45 -4.49 FILE NAME: PLATI 1 0BT FILE TITLE: TRSNS1-1 48vert 10deg '-POL Frequency: 1.5-5000000 MAGNITUDE: Frequency: 1.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: FILE NAME: PLAT 1_208T FILE TITLE: TRANS1-1 48vert 20deg V-POL GHz Frequency: 1.535000000 Frequency r-t iS39250000 Frequency: 1.543500000 Frequency: 1.636500000 Frequency: 1.640750000 Frequency: 1.645000000 dB deg MAGNITUDE: -.0999 Phase: -3.91 lMnvN U OE ----- 98 ----P ha e- ----.92 MAGNITUDE: -.0960 Phase: -3.94 MAGNITUDE: -.0595 Phase: -4.35 MAGNITUDE: -.0588 Phase: -4.38 MAGNITUDE: -.0586 Phase: -4.40 - FILE NAME: PLAT1_30BT I -FILE TITLE: TRANS1-) 48vert 30deg V-POL - -GH, dB-8 Frequency: 1.S55000000 MAGNITUDE: -.2033 Frequency: 1.539250000 MAGNITUDE: -.2027 Frequency: 1.543500000 MAGNITUDE: -.2014 Frequency: 1.636500000 MAGNITUDE: -.1711 Frequency: 1.640750000 MAGNITUDE: -.1704 Frequency: 1.645000000 MAGNITUDE: -.1700 -,. Phase: Phase: Phase: Phase: Phase: Ph~ase: deg - — 4.75 -4.76 -4.77 -5.12 -5.15 -5.17 FILE NAME: PLATi _40BT FILE TITLE: TRANS1-1 48vert 40deg U-POL Frequency: Frequency: Frequency: Frequency: r equencv: -" "^ U q!j - '1: 1.53500000 I.54Z500000 1. E =-000 1. -'S'EJ00 i.S-^rvouo^ MAGNITUDE: MAGNITUDE: MAGNITUDE: Mr, NI TLDE MlF-N I'DE: b6? l I T _ I I dB -.2344.2342 -.23 -- -,-.1 1 1 -. 09 Phase: Phase: Phase: Phas-e: Phae: Phase: deg. 3 -6. -3 - _ ~ - _ 41

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FILE NmME: FLT _-lOFEC -ILE TITLE: REFL-3,4vert GHz Frequency: 1.535000000 Frequency: 1.539250000 Frequency: 1.543500000 Frequency: 1.S36E500000 Frequency: 1.640750000 Frequency: 1.645000000 1ideg V-PC — T MAGNITUDE: -5;.SS23 MAGNITUDE: -;-. 448 MAGNITUDE - -.5339 MAGNITUDE: -5;.3434 MAGNITUDE: -15.3365 MAGNITUDE: -. 3286 Phase: Phase: Phase: Phase: Phase: Phase: deg +70.62 +70.56 +70.48 +68.85 +68.77 +68.69 FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PLT2_20RBC REFL-3 48vert GH1.535000000 1. S3250000 1.543500000 1.636500000 1.6407S0000 1.645000000 20deg -FPOL MAGNITUDE: -i5.1362 MAGNITUDE: -15.1213 MAGNITUDE: -15.1040 MAGNITUDE: -14.7494 MAGNITUDE: -14.7367 MAGNITUDE: -14.7246 30deg V-POL Phase: Phase: Phase: Phase: Phase: Phase: deg +93.01 +92.98 +92.95 +91.91 +91.84 +91.79 deg +77.37 +77.30 +77 24 +76.16 +76.12 +76.08 FILE NAME: PLT2_30RBC FILE TITLE: REFL-3 48vert GHz Frequency: 1.53S5000000 Frequency: 1.53B9250000 Frequency: — ^54350000 --- Frequency: 1.636500000 Frequency: 1.640750000 Frequency: 1.64500000 dB MAGNITUDE: -14.5200 Phase: MAGNITUDE: -14.5072 Phase: — MAGNITUDE -— =-~4940 ----Phase ' MAGNITUDE: -14.2653 Phase: MAGNITUDE: -14.2564 Phase: MAGNITUDE: -14.2480 Phase: -f -. - - FILE NAME: PLT2.40RBC FILE TITLE: REFL-3 48vert 40deg V-POL GHz Frequency: 1.535000000 MAGNITUDE: - Frequency: 1.539250000 "MAGNITUDE: - Frequency: 1.543500000 MAGNITUDE: - Frequency: 1.636S00000 MAGNITUDE: - Frequency: 1.640750000 MAGNITUDE: - Frequency: 1.645000000 MAGNITUDE: - dB 12.7656 12.7486 12.7357 12.7243 12.7291 12. 7353 Phase: Phase: Phase: Phase: Phase: Phase: deg +71.79 -+71.84-, +71.90 +71.69 +71.59 +71.50 FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: requency: - r c uei c,: - r c.u _nc y PLT250ORBC REFL-3 48vert SOdeg V-POL GHz-: 1.535000000 MAGNITUDE: -: 0.3442 1.539250000 MAGNITUDE: -3.?475 I.543500000 MAtNITuGE: - =.-46S 1.635S00000 Mr-N iTUDE - A. 408.407 —000 M -\ - ':'E -. -A 4.... "_E- -. - Phase: Phase: Phase Phase::hase: 2~350~ deg +78. 15 +78. 1 4 +78. 12 -75.- -

F:7L E- rN~M.E: PLT2_'.GOREC FL..E TTTLE: REPL-3 48ver(36H z Frequency: 1.535000000 Frequency: 1.S.3 925 0 00 0 Fre-Quency: 1.S435O00000 Frequency: I.6365O00000 Frequency: 1.640750000 Frequency: 1.645O000000 FILLE NAME: PLT2_70RBC FILE TITLE: REFL-S 4Eve-rt; GH:Fre-quency: I.S535000000 F-requency: I.53j,9250000O Fre~quency: 1.543500000O F~reauenc-y: 1.63GS00000 Frequency: 1.64075O0000 Frequency: I1.645O000000 bOdeg Y-POL MAGNITUE: -.175 MAGNITUDE: -9.4217 MAGNITUDE:' -9.4311 MAGNITUDE:, -9.1800 MAGNITUDE: -9.1546 MAGNITUDE: -9.1'284 (70deg Y-POL dB MAGNITUDE: -4.0811 MAGNITUDE: -4.1325S MAGNITUDE: -4.12804 MAGNITUDE: -tI6. 0105s MAGNITUDE: -6.0614 MAGNITUDE: -6. 1092Z Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase:, Phase: Phase: Phase: deg +79. 9 +79.63 + 73.22 " I72. 96 deg +99.43) + 98. 9 7 ~98. 47, +85. 02. +84.35J ~ 83J7.6 8 46

FILE NAME: riLE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PLT2_T TA TRANSI-3 4:vert Odeg V-POL (repeat) GHz d8 1.535000000 MAGNITUDE: -.312 1.53950000 MAGNITUDE: -.312 1.543500000 MAGNITUDE: -.3107 1.636500000 MAGNITUDE: -.2743 1.640750000 MAGNITUDE: -.2737 1.645000000 MAGNITUDE: -.2729 Phase: Phase: Phase: Phase: Phase: Phase: Zeg -' 1.50 - 1.51 - 1.5i - 1.90 -1.93 -: i.95 FILE NAME: PLT_ 10T1A FILE TITLE: TRANS1-I 42vert 10deg V-POL (repeat) GHz dB Frequency: 1.535000000 MAGNITUDE: -.3521 Phase: Frequency: 1.539250000 MAGNITUDE: -.3488 Phase: Frequency: 1.543500000 MAGNITUDE: -.3446 Phase: Frequency: 1.636500000 MAGNITUDE: -.2409 Phase: Frequency: 1.640750000 MAGNITUDE: -.2368 Phase: Frequency: 1.645000000 MAGNITUDE: -.2327 Pnase: *eg -10.49 -i0.50 -10.93 -i0.97 -11.00 FILE NAME: PLT2_20T1A FILE TITLE: TRANS1-3 42vert 20deg V-POL (repeat) GHz Frequency: 1.535000000 Frequency: 1.539250000 Frequency:-4543500000; Frequency: 1.636500000 Frequency: 1.640750000 Frequency: 1.645000000 dB deg MAGNITUDE: -.5144 Phase: -11.22 MAGNITUDE: -.5107 Phase: -11.21 — MAGNITUDE: -.4 --- Phase' -11-. 1 MAGNITUDE: -.4321 Phase: -11.40 MAGNITUDE: -.4291 Phase: -11.43 MAGNITUDE: -.4252 Phase: - 1.45 FILE NAME: FILE TITLE: " Frequency Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: 1 1 1 1 I i PLT2_30T1A TRANS1-3 42vert 30deg V-POL (repeat) 6Hz dB.5353000000 r MAGNITUDE: -.6571.539250000 t MAGNITUDE: -.6565.543500000 MAGNITUDE: -.6567.636500000 MAGNITUOE: -.6201.640750000 MAGNITUDE: -.6200.645000000 MAGNITUDE: -.6185 Phase: Phase: Phase: Phase: Phase: Phase: deg -14.22 -14.21 -14.20 -14.38 -14.41. -14.44 FILE NAME: PLT2_40T1A FILE TITLE: TRANSI-3 42vert 40deg V-POL (repeat) Frequency: Frequency: Frequency Frequency -re 3 enc1^ | r3 '3n GHz 1.535000000 1.539250000 1.543500000 1.636500000.44-075.3'000 '*. 5 4 E'<D C'<? ' IC MAGNITUOE: MAGNITUDE: MAGNITUOE: MAGNITUDE: MAGNITUDE: MrG3N I TJDE: dB -.5240 -.5246 -.5265 -.5464 -.5494 -.5513 -. n IS l Phase: Phase: Phase: Phase: rrP ha se: 3eg -16.96 -'6.97 -.5 -' -.55.*, - -. - 47

FILE NAME: PLTZ SOTIA FILE TITLE: TRANS1-3 42vert SOdeg V-POL (repeat) GH- dB Frequency: 1.535000000 MAGNITUDE: -.1362 Frequency: 1.539250000 MAGNITUDE: -.1378 Frequency: 1.543500000 MAGNITUDE: -.1391 Frequency: 1.636500000 MAGNITUDE: -.1493 Frequency: 1.640750000 MAGNITUDE: -.1511 I Frequency: 1.45000000 MAGNITUDE: -.1527 Phase: Phase: Phase: Phase: Phase: Phase: aeg -20.14 -20.17 -20.20 -21.25 -21.32 -21.38 deg -21.3 -21.87 -21.91 -22.91 -22.98 -23.05 FILE NAME: PLT2_60T1A FILE TITLE: TRANS1-3 '2vert 60deg V-POL (repeat) Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: GH 1.S35000000 1.539250000 1.543500000 1.636500000 1.640750000 1.645000000 MAGNITUOE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB +.0762 +.0752 +.0728 +.0779 +.0791 +.0799 Phase: Phase: Phase: Phase: Phase: Phase: FILE NAME: PLT2_70T1A FILE TITLE: TRANS1-3 42vert 70deg V-POL (repeat) GHz Frequency: 1.535000000 Frequency: 1.539250000 Frequency-: J. 43500000 Frequency: 1.636500000 Frequency: 1.640750000 Frequency: 1.645000000 MAGNITUDE: MAGNITUOE: __1M6ANITUDE: MAGNITUOE: MAGNITUDE: MAGNITUDE: dB +.0483 +.0448 +.0429 +.0376 +.0377 +.0398 Phase: Phase: Phase: Phase: Phase: Phase: deg -24.24 -24.27 -24.31 -25.36 -25.43 -25.49 48

FILE NhME: PLT2_0T2 FILE TITLE: TRANSI-j 48vert Odeg Y-POL GH: Frequency: 1.53500000 MAGNITUDE: Frequency: 1.S5392S0000 MAGNITUDE: Frequency: 1.543580000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.64S000000 MAGNITUDE: - - - - a dB.3331 * 3284.3241.2174.21 24.2082 dE * 3750.3696.3624.2203.2155 Phase: Phase: Phase: Phase: Plhase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: deg -9.33 -9.36 -9.82 -9.86 -3.89 dec -9. 01 -9.03 -9.i.04 -9.57 -9.60 -9.64 FILE NAME: PLT2_lOT'T FILE TITLE: TRANWi-3 48vert ldeg Y-POL GHz Frequency: 1.5358000000 MAGNITUDE: Frequency: 1.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.63650000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: FILE NAME: PLTl2_OTIB FILE TITLE: TRANSI-3 48vert 20deg V-POL GHz dB deg Frequency: 1.535000000 MAGNITUDE: -.5799 Phase: -9.79 Frdquiehc7y-~lr17. S392500 0- -MIAGN-I-R GE+ --- —— 574S - -Rhzse-.-~- -%J. a Frequency: 1.543580000 MAGNITUDE: -.5683 Phase: -9.77 Frequency: 1.636500000 MAGNITUDE: -.4238 Phase: -9.92 Frequency: 1.64075O000 MAGNITUDE: -.4182 Phase: -9.95 Frequency: 1.645O00000 MAGNITUDE: -.4136 Phase: -9.97 FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PLT2_33TT1B TRANS1A- 48vert 30deg V-POL GHz dE 1.S53500000 MAGNITUDE: -.8 I.539250000 MAGNITUDE: -.8 1.543500000 MAGNITUDE: -.E 1.636500000 MAGNITUDE: 1.640750000 MAGNITUDE: -.7 1.645000000 MAGNITUDE: [1 47 1095 7161 7i 14 7083 - - Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: k= C S rr j 8 e deg-12.34 -1I2. 31 -12.28 -12.03 -12.03 -12.04 deg -16.62 -16 -.49 -16.46 - FILE NAME: PLT2_40T16 FILE TITLE: TRANSI-3 43vert 40deg U-POL Frequency: Frequency: Frequency: f"~quncy': F-equen-c:::-~ u —,- e rr c GH:I 1.S435-00000 1.ecc:z'7 1. s -'11,-% - -3 dB MAGNITUDE: -.3363 MAGNITUDE: -.83.0 MAGNITUE: -..3330 lvlr"'i N 1. DE: N4+rI irE C - E 0 49

FILE 'l,'..ME: PLT2_SOT IE FILE TITLE: TRANS.1-7 48vert SOdeg Y-~OL GH:Frequency: 1.535000000 MAGNITUDE: Frequency: I.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.64075O000 MAGNITUDE: Frequency: 1.64O000000 MAGNITUDE:.5742.5807.52489. 676 9. 692 l0 Phase: Phase: Phase: Phase: Phase: Phase: deg -20.90 -20.90 -20.91 -21.22 -21.24 -2 1.22 FILE NAME: PLT2_S0TlE FILE TITLE: TRANS1-3 48vert 60deg Y-POL GHz Frequency: 1.535000000 MAGNITUDE: Frequency: 1.5'3925000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: dB.0088.0158.0213 -,125.1332.1395 Phase: Phase: Phase: Phase: Phase: Phase: deg -25.53 -25.57 -25.62 -26.67 -26.72 -26.78 FILE NAME: PLT2_70T16 FILE TITLE: TRANSI-3 48vert 70deg V-POL Frequency: Fr-quencyFrequency: Frequency: Frequency: Frequency: GHz 1.535-000000 t.- 5-392S5000 --- 1.543500000 1.636500000 1.640750000 1.645000000 MAGNITUDE: -— PMA&-I-T-UOE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB +.2519 Phase: - -- - -+-. —2 432 ----Rh a se-: +.235S Phase: +. 926 Phase: +.0873 Phase: +.0804 Phase: deg -30.95 -— 31.05Cb8 -32.17 -332.22 -32 10 40-. r 50

FILE NAME: PT1-10ATZC FILE TITLE: TRANS —i 42vert 10deg V-POL Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: GH1.53500000 1.539250000 1.543500000 1.636500000 1.640750000 1.645000000 MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB -.1387 -.1 77 -.1365 -. 1298 -.1303 -.1307 Phase: Phase: Phase: Phase: Phase: Phase: deg -13.62 -13.69 -13.76 -15.41 -15.43 -15.56 FILE NAME: PT1 20AT2C FILE TITLE: TRANS2-1 42vert 20deg U-POL Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: GHz 1.535000000 1.539250000 1.543500000 1.636500000 1.640750000 1.645000000 MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB -. 1411 -. 402 -. 1394 -.12t76 -.1275 -. 1275 Phase: Phase: Phase: Phase: Phase: Phase: deg -4.86 -4.92 -4.97 -6.29 -6.36 -6.42 FILE NAME: PT1 _30AT2C FILE TITLE: TRANS2-1 42vert 30deg V-POL GHz dB Frequency: 1.535000000 MAGNITUDE: -.1958 Frequency: 1.539250000 MAGNITUDE: -.1942 Frequency: 1.543500000 MAGNITUDE: -.1924 Frequency: 1.636500000 MAGNITUDE: -.1531 Frequency: 1.640750000 MAGNITUDE: -.1511 Frequency: 1.645000000 MAGNITUDE: -.1490 Phase: Phase: Phase: Phase: Phase: Phase: deg -4.99 -5.03 -5.07 -6.27 -6.33 -6.40 FILE NAME: PT1_40AT2C FILE TITLE: TRANS2-1 42vert 40deg V-POL6Hz dB Frequency: 1.535000000 MAGNITUDE: -.1926 Frequency: 1.539250000 MAGNITUDE: -.1903 Frequency: 1.543500000 MAGNITUDE: -.1878 Frequency: 1.636500000 MAGNITUDE: -.1346 Frequency: 1.640750000 MAGNITUDE: -.1333 Frequency: 1.645000000 MAGNITUDE: -.1326 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase:, -- - - - M Z,:, deg -13.27 -13.35 -13.42 -14.72 -14.76 -14.80 deg -12.84 -1.98 -1 3.7 -1L.Si FILE NAME: PT1 50AT2C FILE TITLE: TRANS2-1 42vert 50deg V-POL GHz Frequency: 1.535000000 Frequency: 1.2250000 Frequency:. 543500000 Frequency: 1.5-6500,00.ec, '. 1'.ID-1j --- n' - 2.- -SJ,],~"- C -- MAGNITUDE:MAGNITUDE: MAGNITUDE: MAGNITUCE: rSNIiL=L -.0132 z.! -.3 1 74 -.321 -.3725 -. 51

FILE NAME: PT1 _60AT2 FILE TITLE: TRANS2-1 42vert 60deg V-POL GHz Frequency: 1.535000000 MAGNITUDE: + Frequency: 1.539250000 MAGNITUDE: + Frequency: 1.543500000 MAGNITUDE: + Frequency: 1.636500000 MAGNITUDE: + Frequency: 1.640750000 MAGNITUDE: + Frequency: 1.64S000000 MAGNITUDE: + I * - "-..... FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: dB.0421.0481.0544. 1499.IS I?. 1 535 dB.0432.0524.0623.2786.2880.2975 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: deg -16.06 -16. 1 -16. 81 -16.38 -16.38 deg -28.61 -28.68 -28.74 -310.08 -30.13 -30.18 PT1 70AT2C TRANS2-1 42vert 70deg V-POL GHz 1.535000000 MAGNITUDE: + 1.539250000 MAGNITUDE: + 1.543500000 MAGNITUDE: + 1.636500000 MAGNITUDE: + 1.640750000 MAGNITUDE: + 1.645000000 MAGNITUDE: + 52

FILE NMEE: FILE TITLE: Frequency Frequency: Frequency: Frequency: Frequency: Frequency: Frequen y: Frequency: Frequency: T= N52-1 4Svert Odeg V-POL 6Hz.5 35000000 MAGNITUDE: -.53S9250000 MAGNITUDE: -. 543500000 MAGNITUDE: -. 535500000 MAGNITUDE: - i. 40750000 MAGNITUDE: - 1. 45000000 MAGNITUDE: - dB.0218.0205.0195.0017.0014.0011::, I= == r.-==== -j: = A r-r.- 5 -2 z - == J= z ~ == X deg -5.76 -.88 -8.2 -S.33 -8.39 FILE NAME: PT1 -0BT2C FILE TITLE: 'RANS2-1 48vert 20deg V-POL GHz Frequency: 1.535000000 MAGNITUDE: - Frequency: 1.539250000 MAGNITUDE: - Frequency: 1.543500000 MAGNITUDE: - Frequency: 1.36500000 MAGNITUDE: - Frequency: 1.640750000 MAGNITUDE: - Frequency: 1.645000000 MAGNITUDE: dB.0769.0760.0748.0534.0527.0520 FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: II I 1 i 1 1 1 PT1_30BT2C TRANS2-1 48vert 30deg V-POL bHz c 1.535000000 MAGNITUDE: 1.539250000 MAGNITUDE: 1.543500000 MAGNITUDE: 1.636500000 MAGNITUDE: 1.640750000 MAGNITUDE: 1.645000000 MAGNITUDE: dB 1692,1693.1692. 1667,1662.1656 Phase' Phase' Phase' Phase: Phase' Phase:.Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: -s - - deg 1. 09 -1 1.15 -11.21 -12.53 -12.59 -12.65 deg -16.35 -16.41 -16.4 -18.01 -18.08 -18.16 deg -17.48 -17.55 -17.62 -18.96 -19.00 -1 9.05 deg -58.17 -,S. PT1 40BT2C:TRANS2-1 48vert 40deg V-POL 6Hz dB 1.535000000 MAGNITUDE: -.0253 1.539250000 MAGNITUDE: -.0244 1.543500000 MAGNITUDE: -.0237 1.636500000 MAGNITUDE: -.0063 1.640750000 MAGNITUDE: -.0064 1.645000000 MAGNITUDE: -.0068 FILE NAME: FTt 150BT2C FILE TITLE: RA^N52-1 48vert SOdeg V-FOL Frequency: Frequen-cy Frequeny: Frequency: ~j,- - 7- - -I '. 535000000. — c-= —30 0 -,....0 00.E^ 35 0 O '3Ec00M~ MAGNITUDE: - MAGNITUDE: MAGNITUDE: MAGNITUDE: - TL, 1. E. T ' i — C: _T E: dB +.0423 ~.0468 +,0499 4-. 0837 * - - j- S 53

FI'LE: NA~ME PTI _SOBT2I.C FILE TITLE: TRANS'- 48vert 60deg V-O GHzc Frequency: 1.5-35000000 MAGNITUDE: + Frequency: I.S382S0000 MA~GNITUDE: ~ Frequency: 1.-b43500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: + Frequency: 1.640750000 MAGNITUDE: Frequency: 1.64S000000 MAGNITUDE: + JiB.2J."041 2 "1 03 21I66 3J1 47 3166.3184.0847.1039.1138.31 81.32-6 3.33 4 3 Th-ase: Phlase: Phas5e: Ph aSe: Phase: Pha,5e: deg -1 7.86 - 17.88 0 - 1 8.25X. deg -27.47 -28 7.25 - 289. 31 -2I9.38a FILE NAME: PT1 _706T2C FTILE TITLE: TRANS"-] 48vert 70deg V-POL GHz Frequency: 1.5-35000000 Frequency: 1.538250000 Frequency: 1.543500000 Frequency: 1.6365O00000 Frequency: 1.64075O0000 Frequency: 1.645O000000 MA~GNITUDE: MA~GNITUDE: MAGNITUDE: MA~GNITUDE: MAG~NITUDE: MAGNITUDE: + + + + + + c 54

FILE NAME: PT2 1I0ATZC FILE TITLE: TRAIS:-3 42vert 10oaeg J-OL GHz Frequency: 1.535000000 MAGNITUDE: Frequency: 1.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNiTUDE: Freouency: 1.645000000 MAGNITUDE: dB.5143.5147.5154.5287.5293.5298 Phase: Phase: Phase: Phase: Phase: Phase: deg -11.2 -1 1.29J -12.70 -12.83 ~ d 1 — FILE NAME: PT2 20AT2 FILE TITLE: TRANS2-3 42vert 20deg V-POL Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: GHz 1.535000000 1.539250000 1.543500000 1.36500000 1.640750000 1.645000000 MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB -. 10 6 -.1053 -.1050 -.1053 -.1056 -.1059 Phase: Phase: Phase: Phase: Phase: Phase: deg -10.60 -10.66 -10.72 -12.17 -12.23 -12.30 J —I"I FILE NAME: PT2_30AT2C FILE TITLE: TRANS2-3 42vert 30deg V-POL GHz c Frequency: 1.535000000 MAGNITUDE: - Frequency: 1.539250000 MAGNITUDE: - Frequency: 1.543500000 MAGNITUDE: - Frequency: 1.636500000 MAGNITUDE: - Frequency: 1.640750000 MAGNITUDE: - Frequency: 1.645000000 MAGNITUDE: FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PT2_40AT2C TRANS2-3 42vert 40deg V-POL GHz c 1.535000000 MAGNITUDE: - 1.539250000 MAGNITUDE: - 1.543500000 MAGNITUDE: - 1.636500000 MAGNITUDE: 1.640750000 MAGNITUDE: - 1.645000000 MAGNITUDE: - dB.3326.3322.3320.3147.3133.3124 dB.4784.4774.4758.4635,4642 4648 tB 491S 4927 3- - -.- -5 5237 52E5 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: a 5e' - -ei:s deg -6.85 -6.91 -8.07 -8.13 -8.18 deg -19.87 -19.93 -19.97 -20.55 -20.58 -20.61 deg -24.27 -24.29... -24.31 -24.34 -:4.39 FILE NAME: PT2 50AT2C FILE TITLE: TRANS2-3 42vert 50deg V-POL Frequency: Frequency: rrf requlency r- a * qr' — j,, 'Z'ef- -- '. 1.535000000 1. -.59-000J 1. 545dS00000 1.53EE30904.S4ZE= O0 C 3 -1. E C, 100 MAGNITUDE - MAGNITUDE: MAGNITUDE: MAGNITUDE: MAOHN I T' DE: M 7i-L '- E: c 55

FILE NmME: FILE ITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PT-_860AT2C TRANS2-3 42vert 60deg,-POL GH1.535000000 MAGNITUDE: - 1.539250000 MAGNITUDE: - 1.543500000 MAGNITUDE: - 1.636S00000 MAGNITUDE - 1.640750000 MAGNITUDE: - 1.645000000 MAGNITUDE: - dB.45-S.4653.4737.6232.6344.6397 dB.7389.7725.7457. 1851. 1623. 1401 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: deg -29.23 -29.26 -.9. ~6 -30.30 -30.38 -30.45 deg -36.03 -35.94 -35.87 -35.44 -35.47 -35. 52 PT2_70AT2C TRANS2-3 42vert 70deg 'J-POL GHz c l.535000000 MAGNITUDE: + 1.539250000 MAGNITUDE: +, 1.543500000 MAGNITUDE: + 1.636500000 MAGNITUDE: +, 1.640750000 MAGNITUDE: +, 1.645000000 MAGNITUDE: + 56

FITL E 1rM E: PT' 2- -- - F ILE TIT L~E: T RANi~lS2 — t 48iv e r t Odeg Y2 GH= Frequency: 1.535000000 MAGNITUDE: - Frequency: 1.S539250O000 MAGNITUDE: - Frequency: 1 S543500000 MAGNITUDE: - Frequency: 1.6361500000 MAGNITUDE: - Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: - dB.,:IQ 34..2175n.2163 Phase: Phase: Phase: Phase: Phase: Phase: deg -20.2'7 -20.3 -23.05 - - - I FILE NAME: PT2_2IOET2 FILE TITLE: TRANS2-3- 48vert 20deg U-POL CGHz Frequency: 1.5-35000000 MAGNITUDE: ~ Frequency: 1.53932-50000 MAGNITUDE: + Frequency: 1.543500000 MAGNITUDE: + Frequency: 1.636500000 MAGNITUDE: + Frequency: 1.640750000 MAGNITUDE: + Frequency: 1.845000000 MAGNITUDE: + dB..06 36s 1.06 C36.0602 1.0593OA.0538C44. Phase: Phase: Phase: Phase: Phase: Phase: deg -26.6 6 -2'I8.67 --2 8.7 6 -28.85s FILE NAME: PT2_-3OBT2C FILE TITLE: TRANS2-63 48vert 30deg V-PC GHz7 Frequency: 1.535000000 MAGNITUDE: Frequency: I.539250000 MAGNITUDE: Frequency: I.S43S00000 MAGNTTUDE. Frequency: 1.636500000O MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: dB -~?1deg -.122.1 Phase: -2 6.1 7.1232 Phase: -26.27 1 Zh7- h iiiel -26A3 -.1435 Phase: -28.45 -.1447 Phase: -2"-8.55 -.1455 Phase: -28.64 FILE NAME: FILE TITLE: Frequency: Frequency: Frequency: Frequency: Frequency: Frequency: PT2_ 4O6T2C TRANS2-3 48vert 40deQ V-POL GHz 1.535000000 MAGNITUDE: + 1.539250000 MAGNITUDE: + 1.543500000 MAGNITUDE: + 1.636500000 MAGNITUDE: + 1.640750000 MAGNITUDE: + 1.645000000 MAGNITUDE: +, dB. 1 608.,1620.1590 I.15 68. 15147 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phas5e: Phase:? h Ie s e: deg -44.68 -44.80 -44.93 -47.29 -47.40 -47.51 deg -29.45 -31.01, -5"13 a FILE NAME: PT2_508T2C FILE TITLE: TRANS,'2-7 48vert SOoeg U-POL Frequency: Fre..quency: Frequency: Frequen-cy: req uen-:, = I I1 I1 I I.535000000 9 37.2_5S D0,0 -1 IC -I — - I C - 4 -- L MAGNITUDE:MAGNITUDE: MAGNITUDE: MAGNIT7UDE: dB 4*. 0 9551 57/

T I-i 7tI E T7 7hE: TRFANS42-3 4E18vert Sdeg Y)-POL GHz Frequency: 1.535000000 MAGNITUDE: + Frequency: 1.539250000 MAGNITUDE: +, Frequency: 1.543500000 MAGNITUOE: + Frequency: 1.636500000 MA6NITUOE: ~. Frequency: 1.640750000 MAGNITUDE: + Frequency: 1.649000000 MAGNITUDE: +, dB * 1-16 17I58. 1697.0452.0402.03I0 Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: Phase: deg -29.60 -29.64 -29.63 - 731.63 -31.75S -31.87 deg -37.04 -36.96 -36.89 -36.31 -36.32 -366.39 FILE NAME: PT2_7OBTZC FILE TITLE: TRANS2-3 48vert 70deg V-POL Frequency: F~requency: Frequency: Frequency: Frequency: Frequency: GHz 1.53500000 1.539250000 * 543500000 1.636500000 1.640750000 1.645O00000 MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: MAGNITUDE: dB +1.-956 +1.2710 +1.2460 +.7077 +.6848 +.6623 5 8

FILE NAME: PLT1 TIDVP FILE TITLE: TRANS1-1 DOT-DOT 42vert GHz Frequency: 1.535000000 MAGNITUDE: Frequency: 1.539258000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.64500000 MAGNITUDE: Odeg V-POL dB +. 0200 +.0191 +.0197 +.0201 +.0199 +.01 90 Phase: Phase: Phase: Phase: Phase: Phase: deg -.09 -.09 -.10 -.18 -.19 -. 1 FILE NAME: PLT1 T1OHP FILE TITLE: TRANS1-1 DOT-DOT 42vert GHFrequency: 1.535000000 MAGNITUDE: Frequency: 1.539250000 MAGNITUDE: Frequency: 1.543500000 MAGNITUDE: Frequency: 1.636500000 MAGNITUDE: Frequency: 1.640750000 MAGNITUDE: Frequency: 1.645000000 MAGNITUDE: Odeg H-POL dB +.0027 +.0027 +.0034 +.0047 +.0044 +.0048 Phase: Phase: Phase: Phase: Phase: Phase: deg +.24 +.24 +.26 +.26 +.27 59

APPENDIX A ANECHOIC CHAMBER The Radiation Laboratory's anechoic chamber is a tapered design with overall dimensions 18 ft. wide x 60 ft. long x 18 ft. high. The anechoic treatment consists of 72 inch deep pyramidal absorber on the target endwall of the chamber; 24 inch and 18 inch deep pyramidal absorbers, and 12 inch wedge absorber on the sidewalls, ceiling, and floor surfaces of the 18 ft. x 18 ft. x 22 ft. long test region; and, 18 inch deep pyramidal and 12 inch deep wedge absorbers on all surfaces of the tapered section. In addition, 140 sq. ft. of the test region floor surface is treated with 24 inch deep walkway absorber. The test region quiet zone is a sphere, 6 ft. in diameter whose center was positioned on the chamber centerline, 13 feet from the target endwall surface. Measured chamber reflectivity were specified not to exceed the following values within the quiet zone test region..-.REFLECTIVITY PERFORMANCE-SPECIFICATION ---FREQUENCY Backwall Sidewall 100 MHz -25 dB -20 dB 300 MHz -35 dB -25 dB 1 GHz -45 dB -35 dB 26 GHz -45 dB -45 dB The measured performance well exceeds the specification, except for 1 or 2 dB at isolated points. At 1 GHz the specified performance is exceeded by about 10 dB and at 26 GHz by about 25 to 35 dB. 60

APPENDIX B Effect of Curvature on the Reflectivity of Panels Assume a rectangular panel of size a x b is curved in two directions parallel to side a and side b, respectively, which is the case with provided samples. For normal plane wave incidence, it is found that the ratio of the magnitude of the backscattered far field of the curved panel, denoted by S, to that of a flat panel of same size, denoted by SfP, is 1 S 71 72 where a T b k 71rV 72 = - In the above, k is the free-space wavenumber, rl and r2 are the curvature radii of the panel along the side a and side b, and F denotes the well-known Fresnel integral defined by F(r)= fe2du - To give a quantitative idea on the effect of curvature in our panel mea-mlrements, we present a calculation here for the case of Panel-1. For Panel-I a =42in., b=48 in. r = 622 in., r2 =780 in. 1K. Sarabandi, T.B.A. Senior, and F.T. Ulaby, "Effect of curvature on the backscattering from leaves," to be published on the Journal of Electromagnetic Waves and Applications. 6 -

At f = 1.650 GHz, k = 0.8778/in. and hence -7 = 0.7889, 72 = 0.8051 The corresponding Fresnel integral values are IF(^1)I = 0.7760, IF(y2)1 = 0.7875 which then give = 0.8825 Sfp or 20log ( ) = -1.1 dB Thus, the curvature of the panel reduces the reflectivity in normal direction by 1.1 dB. This computation shows that even a slight curvature can affect the specular return. In fact, in practice, the curvature effect can actually increase the return. This will occurr when the curvature is concave toward the transmitting/receiving antennas. - -1..,I-" 62

Appendix C. Transmissivity2 Data Processing. This appendix presents the coherent approach for transmissivity calculations based on total reflectivity measurements of the dielectric panels backed by an aluminum plate. Figure C shows ray traces for the dielectric sample in the front of the aluminum plate whose reflectivity is considered as R, = -1. The assumptions which is used are: 1. the dielectric medium has an uniform dielectric constant 2. reflectivities of both surfaces of the sample are same. For each ray trace, the reflectivity is as follows: lay 1. R1 - it ray 2: R2 = TRexp(-j21d/cosS2) ray 3: R3 = T4Rrexp(-j28podo/cos1l)exp(-j2pd/cos02) ray 4 R4 = T4RRcexp(-j4,odo/cosOl)exp(-j2pd/cosO2) ray 5: R = T6RR2exp(-j4Ado/cos )exp(-j44d/co. sO 2): osO — '- -.~:,-. where T and R are transmissivity and reflectivity at a surface of the sample respectively and,p and,o denote the propagation constants of dielectric and air media respectively. The total reflectivity including the reflected ray only once from the surface of the sample is the summation of the rays 1 through 5 neglecting rays on the order L' -~~ ~ r+ _ k ~ — -:r — r_ I, -- c '-~;.C- / ".C-C. -~;;LIFL~. '-. 's'rE-'~" ~-''' 'CtC L " -ci;e r ~-~, A -p r~r. 63

of R2. The reflectivity of the sample alone, R,, is the sum of R1 and R2. The transmissivity of the sample, T,, may be expressed as T, = T2exp(-j/3d/cos82) (1) Therefore the total reflectivity of the sample in front of the aluminum, RT, can be expressed in terms of R., RC and Ts as RT = R, + T2R(1 + RR8) (2) with the assumption Podo << 1. It can be shown that the exact expression for RT is given by RT = R, + (T2)/(1 - RcRs) (3) Therefore, with the measurements of RT and the seperate measurements of R,, the T. can be calculated. Po air aluminum Fig. C. Rays with model. 64