L D-AI3 144 CYLINDRICAL MICROSTRIP ARRAY -C-BAND BEACON ANTENNA i/iI ARRAY WITH 48 RECTAN.-U) NEW MEXICO STATE UNIV LAS

LA CRUCES PHYSICAL SCIENCELAB H D WEINSCHEL ET AL.I NCLASSIFIED JUL 83 PC-6±836 AFGL-TR 83-0218 F/G 9/5 N

11111 .05 1 1.ME

N I

MICROCOPY RESOLUTION TEST CHARTNATIONAL BUREAU OF STANDARDS-1963-A

1.-I

. ..

-, AFGL-TR-83-0218

CYLINDRICAL MICROSTRIP ARRAY

C-Band Beacon Antenna Array with 48 Rectangular Radiating

Elements Fd In-phase

H. Dieter WeinschelA[ Waterman

Physical Science LaboratoryNew Mexico State UniversityBox 3548-Las Cruces, New Mexico 88003-3548

July 1983

Scientific Report No. 1 "

Approved for Public Release; distribution unlimited. 19 ri >3

N Prepared for

Air Force Geophysics Laboratory0.X.. Air Force Systems Command_-_ United States Air Force.¢- Hanscom AFB, Massachusetts 01731

-- 4- C..2

.;83 11 28 241

This report has been reviewed by the ESD Public Affairs Office (PA) and isreleasable to the National Technical Information Service( NTIS).

This technical report has been reviewed and is approved for publication

RAYM04 E. WILTON EDWARD F. McKENNAContract Manager Branch Chief

FOR THE COMMANDER

i visiZAvion Director

Qualified requestors may obtain additional copies from the Defense TechnicalInformation Center. All others should apply to the National TechnicalInformation Service.

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I'-. UNCLASSIFIEDSECURITY CLASSIFICATION OF THIS PAGE Whmon Does Entered)

REPORT DOCUMENTATION PAGE BFREAD CNSTRUCTIONS. REPORT NUMBER -. GOVT ACCESSION NO 3. RECIPIFNT'S CATALOG NUMBR

'$"AFGL-TR-83-0218 lo.D, 135 / V4-1

4. TITLE (anid Subcltls) S. TYPE OF REPORT & PERIOD COVERED

CYLINDRICAL MICROSTRIP ARRAY Scientific Report No. 1

C-Band Beacon Antenna Array with 48 Rec- 6. PERFORMING ORG. REPORT NUMBERtangular Radiating Elements Fed In-Phase PC01036

7. AUTHOR(s) a. CONTRACT OR GRANT NUMaER(e)

H. Dieter Weinschel F19628-81-C-0004Al Waterman F

9. PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT.PROJ-CT, TASK." AREA & WORK UNIT NUMBERScPhysical Science Laboratory 62101F.:'Box 3548, NMSU 650B

Las Cruces, New Mexico 88003 675904BAI1. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE

Air Force Geophysics Laboratory July 1983Hanscom AFB, Massachusetts 01731 I. NUMBEROF PAGES

• .. Contract Monitor: Raymond E Wiltone LCR 3314. MONITORING AGENCY NAME 6 AOORESS(I dilfferent frm Controllnj Office) IS. SECURITY CLASS. (oi this rviort)

Unclassified

154. DECLASSIFICATION OO-WNGRADING3SCHEDULE

16. DISTRIBUTION STATEMENT (DE thl RePort)

A - Approved for public release; distribution unlimited.

1 ,7. OISTRIBUTION STATEMENT (of the aebttrdmetered In Stock 20. It dfer-,t from RePort)

18. SUPPLEMENTARY NOTES

IS. KEY WORDS (Continue an ryevere aide It necesary md Identify by block number)

Microstrip antenna Conformal AntennaAntennaArray

, C-Band

25. AITrRAC' (Cameb a et-vo It on I I m nw Identify by block numbe)

-..--The Pysical Science Laboratory/NMSU has designed a C-Band micro-strip array for a nominal 17 inch diameter vehicle. Impedanceand radiation pattern measurements were made on a prototypeantenna.

.9*Lv OFORM 1473 cut-noes o~r I NOV 5S 13 OBSOL!TE

"" ~' AN 7 UnclassifiedSEC URIr Y CO -3IF ICA

r -4 S PAG. , 4 , i7.:* Enf.rvo )

-..

TABLE OF CONTENTS

Page No.

1.0 INTRODUCTION ..... ................... .i.1

2.0 PHYSICAL DESCRIPTION OF THE ANTENNA ........ 1

3.0 THE ANTENNA ARRAY DEVELOPMENT ..... .......... 4

4.0 THE ARRAY CHARACTERISTICS. ............ 6

5.0 CONCLUSIONS ................... 18

6.0 RECOMMENDATIONS ................. 18

APPENDIX A APL Programs .................. ... A-1

,- C - --

\ . . a| A~i

:': .. .. t ......

-. m ift

LIST OF FIGURES

Figure Page No.

1 Model 94.001 C-Band Subarray, Photo No.S431-3-27 . . . . . . . . . . . . . . . . . . . . . 243--7.................................2

2 Model 94.001 C-Band Array mounted on a 17 inchdiameter cylinder, Photo No. 427-1-10 .. 3

3 Schematic of the harness design .... ......... 5

4 Model 94.001 (002A) Planar Subarray DrivingPoint Impedance ..... .................... 7

5 Model 94.001 (002B) Planar Subarray DrivingPoint Impedance ..... .................... 8

6 Model 94.001 (002C) Planar Subarray DrivingPoint Impedance ..... .................... 9

7 Model 94.001 (002A,B,C) mounted on a 17 inchdiameter cylinder and measured at the end ofthe 24 inch long feed cable ..... ........... 10

8 Coordinates for the radiation patternmeasurements (RR 2792) .... .............. . i.11

9 Antenna Model 94.001, Radiation Pattern No.30251B, RR 2792 ................. 12

10 Antenna Model 94.001, Radiation Pattern No.30253B, RR 2792 ..... ................. ... 13

11 Antenna Model 94.001, Radiation Pattern No.30259B, RR 2792 ..... ................. ... 14

12 Antenna Model 94.001, Radiation Pattern No.30262B, RR 2792 ..... ................. ... 15

13 Model 94.001 Radiation Distribution Pattern(E.) ......... ....................... ... 16

14 Model 94.00' Radiation Distribution Pattern(E )..... . . .... .................. 17

iv

S ' ' . "",, -," ", , . " w ' ""." -"--",.".,","- - - " - - - .? --- ' ' -. .-- --

1.0 INTRODUCTION

The Physical Science Laboratory at New Mexico State Univer-

sity developed a conformal, C-Band microstrip antenna for a 17.2

inch diameter cylindrical vehicle. A computer program was written

from a theoretical study by Carver and Coffey [1] to calculate

the patch dimensions and its driving point impedance. Another

program was written based on an article published in MicrowavesX[2] to calculate the characteristic impedances and effective

dielectric constants of the lines used in the harness. A third

.' program was developed to design the harness and to document the

antenna. An antenna was fabricated to obtain impedance and ra-

diation measurements.

A physical description of the antenna and the measurements

illustrating its electrical performance are presented in the

report.

2.0 PHYSICAL DESCRIPTION OF THE ANTENNA

The Model 94.001 antenna is a microstrip array fabricated

from 0.062" printed circuit board (CuClad 250 by 3M). The sub-

strate is the GX type teflon impregnated woven fiber glass.

The array was designed for a 17 inch diameter cylinder and

consists of three subarrays. Each subarray has sixteen elements

which are fed in-phase with a corporate harness which is photo-

etched on the same board as the elements. When the elements are

mounted on a cylinder they are connected in-phase with coaxial

cable through a three-way power divider. The subarray feeds for

attaching the coaxial cable are SMA connectors. The antenna

is shown in Figures 1 and 2.

•IV

-t-

0

1,14

0

r4

s 0

4 01I2

4(44

S0 0

-4

IND."

V .1 v

- - -, - . 7.-7--7 -7 7- 7 -7 - . - . . . . t . . 77

3.0 THE ANTENNA ARRAY DEVELOPMENT

Three small APL programs (PATCH, EPSL and H94001) were

written to aid in the design of the radiating element and theN

harness. The programs PATCH and EPSL were based on the publica-

tions [] and [2] respectively. PATCH calculates the resonant

frequency and impedance of a rectangular element fed coaxially.

EPSL calculates the effective dielectric constant and the char-

acteristic impedance of a microstrip line. H94001 calculates

the harness configuration of a corporate harness for a 16 element

array as a function of the vehicle diameter.

The calculated dimensions for the radiating rectangular

element were 2.68 by 1.488 cm at 5.71 GHz and a substrate thick-

ness of 0.152 cm. The dielectric constant used for the calcula-

tions was 2.45 so that the dimensions in terms of wavelengths in

the dielectric are 0.799 x 0.444 x 0.0453.

A schematic of the harness and the computer printout of theharness section lengths, widths and characteristic impedances is

shown in Figure 3. Since the subarray is symmetric about the

feed, only eight of the sixteen elements are shown in the sketch.

The time allotted for the development was severely limited.

No attempt was therefore made to write the programs in the most

efficient form. The CPU time for the calculations was short and

using more time to write the program would not have been practi-

cal. The most questionable parameter in the calculations was

the input impedance to each element in the array. The calculated

impedance for a coaxial feed recessed 0.058 inches from the edge

of the antenna was 75 ohns. To save time, harnesses were also

calculated for 100 and 120 ohm input impedances. The three sub-

arrays were fabricated and the impedance curves were measured.

The best results were obtained from the harness for which the

4

,4 4

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4r

(n0

.44

ai

-1

a) 44

i-I

C: C 0

E-4oooooow o ooo o oo r ooww

a)

(30O~e~'-4in b

00. -4 - C4 Q A Cn CV 04 (J Ul 00 (N W 0 4 r

-- r I(NC) - LO V- Go 0 0 4 (N A C14 _r 0

C~i 0 C; ..41;

1.4

.4%

calculated 75 ohm element impedance was used. The radiation

patterns for the planar subarray were measured and the results

showed that the phasing and power division obtained with this

harness were satisfactory. Two additional subarrays were fabri-

cated and the three subarrays were mounted on a 17 inch diameter

cylinder and fed in-phase from a three-way power divider.

4.0 THE ARRAY CHARACTERISTICS

The characteristics of the antenna are best describ( by

impedance and radiation distribution measurements. The 1 .edance

data for the subarrays measured before they were mounted -he

cylinder is shown in Figures 4 through 6. They show that the

design frequency the array impedance is close to the 50 ohm cal-

culated impedance. The bandwidth is approximately 600 MHz over

a 2:1 VSWR. In Figure 7 the impedance versus frequency curve is

shown with the three subarrays mounted on the cylinder. The

impedance is measured at the end of a 24 inch long feed cable.

This configuration simulates the flight configuration and the

impedances measured are those seen by the beacon. The data shows

that the antenna is well matched over the entire band.

The radiation patterns are shown in Figures 9 through 14.

The pattern coverage is quite good except for narrow nulls

looking directly into the nose or the tail of the vehicle and

about 300 off axis. The 0 = 900 cut shows more irregular lobing

then one would expect from the array. This is most likely the

result of mounting the antenna on a sheetmetal cylinder rather

then on a machined surface. Also, the prototype antenna was not

truly cylindrical and some gaps between the cylinder and the

antenna may have become excited.

6

II

a Op

571

Figure 4. Model 94.001 (002A) Planar SubarrayDriving Point Impedence

7

4 J -m . .- . .W .71.

4L .

( (0,

6188

'. * ** ~..- 4.*~ %* 4 4 . A~ .do. . .

;Y,

4A

AX,\

.619

9

.621

571.

.1413

IIFigure 7. Model 94.001 (002A,B,C) mounted on a 17 inch

diameter cylinder and measured at the end ofthe 24 inch long feed cable.

10

... . . . . . . ....-...............-- -..

* . - -- 71

Cfee

a, 9:00

.1P-

*1#8*900 E #93 900

Figure 8. Coordinates for the radiation pattern* measurements (RR 2792)

. . . . .

POLARIZATION

* ~~~F GAIN REF.-----

IiES COORDINATE 000 8-90 REFERENCE

fOTHER AS NOTEDUNDER REMARKS.

I A

-S

FIG. 9FIELD STRENGTH

*FREQUENCY 5.71 GHz2 BDV

ANTENNA Model 94.001 PSLN2 30251B-

REMARKS The gain of the reference antenna is 19 dBi. RR 2792

12

POLAR IZAT ION

[] GAIN REF.K E. COORDINATE

XE.--------------------4 *9z.Q REFERENCE ~ '0

E]R.C.---------------

[] OTHER AS NOTED

47-

FIELD STRENGTH

ANTENNA Model 94.001 S.23 53

*REMARKS Microstrip antenna, 48 element array mounted RR 2792on a 17 inch diameter cylinder.

13

POLARIZATION

EJ GAIN REF.[jd E8COORDINATE

[- fE#----------------- -* 0 8- 90- REFERENCE* ZR.C.--------------- .9

* LI OTHER AS NOTED

5,X

FREOUEIcy 5.71 CHzANTENNA Model 94.001 PSLN2 33259BREMARKS RR 2792

41

* POLARIZATION

[]GAIN REF.------

[KES COORDINATE35E] E..----- 0 REFERENCE

fR.C.---------------

Ml OTHER AS NOTED* UNDER REMARKS.

FIG. 12FIELD STRENGTH

FREQUENCY 5. 71 GHz

ANTENNA Model 94.001 PSLN2 332628

REMARKS Amplitude variation as a function of in 20 RR 2792increments of e.

15

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5.0 CONCLUSIONS

A computer aided design was made for a 48 element conformal

microstrip array. The harness lengths are defined in terms of

element spacing which is determined by the number of elements

used and the vehicle diameter, the same program can therefore be

used for a range of vehicle diameters. An antenna array was

fabricated and the antenna performance was documented by imped-

ance and radiation distribution pattern measurements. It is

believed that the results demonstrate that this is a usable

design.

6.0 RECOMMENDATIONS

The short time allowed for the development did not permit

the incorporation of a heat shield which should be the second

phase of the investigation. It would be useful to investigate

two forms of protection. A dielectric radome and a slotted

metallic shield. The radome adaptation should be uncomplicated,

but adding the metallic shield will probably require a majorchange in the harness configuration since the transmission lines

should then be in the stripline mode.

The first suggested use for the antenna would be for the

BERT Project.

%18

4 ""% "; ; * " , '' "" " ,-, " ']','''- --. '']- ''-'"" . . ."'--".". .- .- ' - " - "- .- " -" - "

' 4

REFERENCES

[I1 "Theoretical Investigation of the Microstrip Antenna,"Keith R. Carver and Edgar L. Coffey, Technical Report

PT-00929, January 23, 1979.

[2) "A Designer's Guide to Microstrip Line," I.J. Bahl and

D.K. Trivedi, Microwaves, May 1977.

.19

* ~ * .- , .~

APPENDIX A

APL PROGRAMS

U.

.4

*.

'U

4..

-S

-. 4

*q '.U ** ***~.*'*~***. *"'.'*'.'>.%.'.~S%$. . s~':-.~ & * *.

"1 PATCH

()A THE PPOGPAM CALCULATES THE PEZONANT FPEW.

(1ATHE PESONANT IMPEDANCE, AND THE DANr'WXZ'T

(3 P OP A PECTANGULAP MICPOSTPIF ANTENNA.R4 A POORE FED ANTENNA OMLV

() AI N P U T

-7 WIDTH iCM,

I (S8] WP 1(?] 'HEIGHT CM.-

(10) HP4~o(11] SL'BSTP* THICk.(1,E) T..fl([3 -.] DI ELC. CONST.1

(14) EP-f[15) 'FEED POSITION'

(16) ~Oa[17)3 ***************************(18] CO0NS5TA NT S[I?] A&-14.4

( 2:3 'o2. C8( 1] C..I1)

( 4] F-A. 412

(25) G*0.3

( 8) 11-0. 81 3(2 9) Jt-62

(1) 1 Nt-ii 5977(3 ) N-0. 16:-38

(:!6)] APPPOMA PESONANT FPESV .6HZ

(7'73 FPA*A-HP\ EP*0.5(.38]~ A APPPOWl R ESONANT FWEE-SPACE WAVELENGTH 'CM*

(0] A EFFECT, DIELC. CONST.6(41] EE.*P+) ) 'EP1. '1C TWP\.*0.5).

* [4 ] A WALL CONDUCTANCE .MMOS.

(43]1 '3W-DiWP-FSN-L

(44) AWALL SUSCEPTANCE .MHOS).

(45) WPTt-WP-T

(46)j DELTt-F> EEG-E-'fWPT+H)-rWPT+l'..4(4) WtExD4ELT'AWPwEEfKFSWL

(48] m IMPEDANCE PAPAMETEP LALPHA'.(49)] A~WPl-HPl

(5)ALPH*PALPH PJ IALPH(5) AP.HP .ALPH

(15)m A*I44~4*41444444444444444444 444* (6) a CALCULATE DELTA

(,-7] Ut-I(S)DELTA4CI PJ 0

(59)c4 LSL1IU

% ((' rELTAt-DELTA

CE (61] NC.Lt. 'tAP) CMUL...rj., CADD-DELTA'. ANUM. OF FIPET TEPM(6]DDELt-yt.NAP CPWP ~)CADDvO :.DELTA t CADD-eDELTA CFWP CADLL-c[E: S DEL..DEfLTA CPWP - - ECOND TEPH

(64) DELTAt-.NDEL CDIV DDEL, CADD-SD)EL

(65) Ut-U.

(66), .LPLE L

(C) I:L DELTAS..DELTA

A-i

ftV

o7:] fCOMPLE.< EIGENVALL'E SCH-J.

(7i ~ so1HF~CADD-,DELTA5-HP.

(.)qCOMPLES RESONANT FPEW* ,RAD S-1)

(7]OMG a-ER*n5 (I.(74] i REAL PEE. PEP HZ)(75] wPP~pRS OMG).-C.

[ 76] m CALCULATE 0

-~ (7S) APATCH CAPACITANCE oFARAIDS

VPi) i ESONANT RIESISTANCE

(S] ESRESPL'-RS OHS'. .CAPA

Rf~ 0 L' T P Q T

[?7] OM24- 13 I FR~E-9'. RSRES. IDFP1E-6)

Vv)-P A14 REAL RESFPEW G6HZ)

.4)] A2 RES. RESISTANCIE (OHMS,'

(.411 n'.-'S*ANDWIDTH ,NHZ)

VlI I) A4&. 2 PAI.A2 .A3[,?2] aaIrl a FMTIA4:-OMe)1-l ) pCN

-A-

( * CALCU'LATES THE MICPOSTPIP PRMTR

oqF4 POM THE ErUATIONS SAEVEN IN MICROWAVES. MAI.1977PU THE PAPAMETEPS APE:

[4] 5 EFECTIVE ]DIELECTPIC CONSTANT£5 EPPECTIVE LINE WIDTH

(6] oqCHAPACTEPISTIC IMPEDANCEC 7] SLOBS DUE TO THE4 COP-PEP CONDUCTOR

£8 LOSS DUE TO THE DIELECTRIC SUSSTPATE

£10)] RCHOOSE METRIC OR ENGLISCH UNITS£1)sTYPE POR ENG ISH UNITS ANY OTHEP NUNSEP POP METPIC(1] 1 U ENGL**

(14)£15] 4 THE CONSTANTS APE:(16] -ENTER EPSILAM-

£17] D4-0Ci1.] T+0.0073556 R CONDUCTOP THICKNESS (CM)£19) 'ENTER SUBSTP * THICHNES IN INCHES'

£20] HINCH (-U£21) HHINCHx2S54£22) 9&55,5000000ff R FPWUENCY .'HZ)

(23] MU,04E9Q 5 PEPNADILITV v HENPYT/CN)

£24] SIS.580010 5 0CONDUCTIVITY OP COPPER (HM

(2]LTAN-fl* 00(j2(261 LAM~2qqGooooooo+P *WAVELENGTH (CM)

(27]* f 28] 4 THE PA4NGS OP THE LINE WIDTH

* .* (~29] He.5x,5~LINE WIDTH eCM)- - £30) HI*Wj.54 ol LINE WIDTH (INCHES'l

(3]ATHE EPPECTIVE LINE WIDTH

(36] PL4IR4P AWtH~1/2V.PI)(37) lEPS4-PSl1+ fT-QH) x '1 +004wP51 H-T%

(38] EPLe.PL* (T-O0H) x* (1,e W T)

£39] ER+EPS.EPL "WEH THE PATIO OP THE EPP. L.W TO 3U3STP. THICkN*£40](41] gTHE EPPECTIVE DIELECTRIC CONSTANT

(42) IE+xEP -j£43] ESPaZEfR qWEV1H<1I

(44] ELP4-IE4 EP qWExH4~

£47] E~oeEPS.EPL

£48](49] RTHE CHARACTEPISTIC IMPEDANCE

£50] FOa~-Pw.)e $EP+.SER OP WE.,H.;l

A £51)ZO~a FOP WE Hj

(52] ZO*ZOS.ZOL

A- 3

I'.

£54) A CONDUCTOR LOSS

[55) A ER IS 14E. FORP ALL VALUES OF W

[.5t.; AERS IS WE.,H FOP H' .,I"

[571 IC.+ EPL -a

( ,:3 iE M.-Z:I,ERL A, 3W .PI>' W -()ERG.IC4ERL A WE.H>2

PRE) le .CFx.flL-S I G) *j. 5

£E2 VFa SI+ f.-ERS)4 .- C.EPS) x'' OC'4xERS)cH-T) ,TERS1,H)

(,4) C~o I+, -ERM) + t-C'ERPxG) .XRHHT +T-EAMYM)&

'%3 ASEPARATE THE CHARACTERISTIC IMPEDANCE VALUES

% INTO THE APPROPRIATE RANGES

£ 7) ~ A WE.H1 Wa(PI; [ .:_--:] Q :'3,-CI Z -O W H.. I a:H /

C703 A CONDUCTOR LOSS FOR WEHs< 1/(I

[71] ALPHS-8.6SvRE1 x ,: I .tPxWS.C, ×ZS×H

72 MCONDLICTOR LOSS FOR 2.'(PI)< NEH :a

[74) ACONDUCT O

P LOSS FOR WE..H,2

£753 COEF.8.6REPS1 ,GZG ,H

(763 ECND f ERG+, -ol aIoax 1x ( ('EIG2) +0. 94)).) *

£77)~~~~~ THDR+ ER (~ - (ERG 2) +0. 94"--] ALPHG4COEFN'THRD-SCND

[79) ALPH.ALPHS, ALP NM, ALPHG

[81] mDIELCCTRIC LOSS ASSUMING ZERO CONDUCTIVITYa),. DLO-S(-v2,-.3\ <DY' EF--1)" LTAN e( EFO. 5.x& D--1 )LM

(::: 3) ENG '- U*:

[0.41 opGTCNL[85 'EFFECTIVE LINE WIDTH VS LINE WIDTH'

[06 11001 0l PLOT ERxH> VS W

£-7) WIDTH (CM)-

SI :) 1 O:PTCNL

£ c.3 'EFFECTIVE DIELECTRIC CONSTPNT VS LINE WIDTH'

* 3') 10:1 100 PLOT EF" VS W

' 2) ' WIDTH vCM'[. [712] jo:paTCNL

-CHAR ACTEISTIC IMPEDANCE VS LINE WIDTH-

(94)1 00100 PLOT 20 V'S N£"9) ' WIDTH &CM)

(.m0) 11PoTCNL['73 'CONDUCTOR LOSS VS LINE WIDTH-[£e] 10 100 PLOT ALPH VS W

WIDTH ,CN'c 10) 10'pOTCNL

£101) 'DIELECTRIC LOSS VS LINE WIDTH'11"3 l0r l0 PLOT DLOSS VS W

£103: ' WIDTH CM.'

0[I V4 IOPOTCNLS (15) 'TOTAL LOSS .S LINE WIDTH'

(10 ) 10: 10l PLOT.ALPH*DLOSS'. VS W

(107) ' WIDTH CM',

l,; 3 1 ipO[TCNL[(lC) ' EFFECTIVE LINE WIDTH TO SUSTRATE RATIO k'S LINE WIDTH'

n I'1:(1 1:9 1~o fis, PLOT ERP V.S N

A-4

, ,. ' .' .. ,'- --'.'-' .C'- ... -.'-'-•.-"..'-- e . '- -- , .- . -. ..- -

(111] ' WIDTH ,tl,(1 12] ' '(1 13] '0

(114] ENS: I OP TCNL[115] 'EFFECTIVE DIELECTRIC CONSTANT VS LINE WIDTH'[116] 100 10:1 PLOT EF VS WI

[117] ' LINE WIDTH INCHEZI.

(118] 10pOTCNL[119] 'CHAWACTEPISTIC IMPEDANCE VS LINE WIDTH'

[120] 100 100 PLOT ZO VS WI

(121] ' LINE WIDTH *INCMEE,'

(12.2] I 0PITCNL(123] 'EFFECTIVE LINE WIDTH TO SUBSTNATE PATIO VS LINE WIDTH'

[1243 100 100 PLOT EP VS WI

[1251 ' LINE WIDTH INCHES'[1261 10POTCNL(1271 'WAVELENGTH VS LINE WIDTH-

[128) 100 10A P3LOT LAM.2.54x Ef*0. 5) V-S WI

(1293 ' LINE WIDTH INCHE_=.'

'A-5

A.

:..

-.'S,

-"A

-L - - --- 7 -:Wr- 7w-7w-7. 7w--

H94I01: L1;L ;L3iL4i L5;L6;L7;L8;LgiL10iL11l;L1;;L1.3; L4;L15

(3] s CALCULATE THE HARNESS FOP A 16 ELEMENT EUXMPAYC21 THREE AU A PAVrS APE USED POP 17.2 INCH DIAMETER VEHICLE

[3] CONSTANTS

(4) HUTH. ft. (062(9] EPS&E.47

*r6] D.17. VEHICLE DZA. iINCHEKS*~o (7 9 1 9PRPUENCY .'6HZ)

(3 75 37.5 75 75 106. 75 87(9) E . 1.977 2.117 1.977 1.977 1.91 1.977 1.947(10) LW "i I8e9Q9999-99999 0. 264 0. 08699999999999999 0. 08699999999999999 0. 04I 0. OF:6Q994Q9999999 0. 065(11] W S. 'F'E*O.5 I EFFECTIVE WAVELENGTH t"ZNCHES)

[12] WAW11:.: -

R AVELENGTH IN AIR (INCHES)

(I 3] C-on[14) NM.2 LC-WA o INTEGRAL NUMNER OF HALPWAVELENGTH IN THE CIRCUMFERENCE

[15] £E416 R NUMlEI OF ELEMENTS PER SUBAPR'f

[161 SP4C-3:x'SE 4 SPACING DETWEEN ELEMENTS CENTERS (INCHES)

[17] EM0. 4454> 11.803 <F EPS*f0.5CIS] Ew40.8,11.803eF ~EPS*0.5 m ELEMENT WIDTH (INCHES)(1)'] GW SP-EW A GAP ETWEEN ELEMENTS (INCHES)

[(l] S.PNSPW Al SEVEN ELEMENT VECTOR

r 1] EWW.EW-W A SEVEN ELEMENT VECTOR[ ] GWH.EW.W A SEVEN ELEMENT VECTOR

[3] 'ENTER I TO SUPPRESS PARAM. PRINT'

[24] '60[25] LIL: ENTER SPACING BETWEEN LINES (IN)

1261 U 1 1[2-] U.t(LW([I]LW [2]) ] +UI[1]> ((LWC(2]J+L[4])+2)+UI [2]) 1 ((LW[4]+LW[6]) ,E)+UI [ -.-] ',r2?] ol[Q] 'ENTER LEG L. IN WAVEL.( -- j] H..fl

[-,1] 4(2 3, 4]0'E[ 3 43-0.25

R TWO ELEMENTS( 3TH1.(.l*1E6 A IN RADIANS

(. 4] CM. (1] * II (154 [I 2, SPWI] +8)

[(5] M. 3 :: 1 1 I 0 ,,OTHI), 1 0 0 1( e:. ] IM-4*CM9M

( LS*SM [1]

(-F] L -&SM[2](L] A -. 1]

[411 A FOUR ELEMENTS(42] TN2*C.25

[44] L7,0.25 AmF WE-,][4C] CHI &, H [] -L4.. , sPw [] -0. 25xW (3] C w (2)[461 MI- 2 P2 2 1 1 . ,2CTH .')

C47] -" jI-CMI5M IC48) LS..IMI (1[49) L6.EMI ( 1

(SI] a EIGHT ELEMENTS-2]" TH2e.TH2

[5"- L:?. - .L6xW .]1:, IOTH,') +U [2] :,- [4]

(54] L11oH(.05 A FOR W f][(5] CMa. . ['] -L, . :-W4] [4-L 11.W [5h w4]

'

(A1c) A1.m

i1) A -:,TEEN ELEMENTS(re)2] TH4.TH2

A-6

£6-4) LlS*1.215 P op w[7]

(65) CM*eiib (4)-Lie)'.. .4:,SPW(4)'s-L1 .cW(7)..44(6)sE4 663 M3*iMj

"5 *E673 gS4?.-M.'

(69) Ll3 *SM?123

E703 LL.L1.L2.L:.L4.L5.L6.L7.LSSLQ.LOLX.L2.L;.3.L4.L, MLENG3TH IN TEMS OF

(71) .LLjx0X~

(72) OTCNL(7) 'LEGS IN TERMS OF EFFECTIVE WAVELENGTH'

N (74) +,-Ll.L2.L3

(753 */,L4. L5. LE6,L7

(7)+.L12,L13.L14.LIS5(78)LLZI*LL~l 2 3)xw(1)

[-7I? L12,LL(4 S 6)>"(2)(8120) LI3*LL(73 w3

N (1) L140-LL(S 9 10)XW(4)

E84) L17&.LL(153> W(7,]

(85)l LIe-LIl ,L12,L13,L14.LIS,L16.L17(86) OTCNL(8.7) .L5L2x 1,X1E88) PARAMETERS'(89] DM2. 6 16 p'SU3STP. TNHICK. D!ELEC. CONST. ELEM. H. CLEM. W.DIAMETEP FREUUENCY

(90) DM3.. 6 1 PSUTH!.EPS.EH.4EWD.F(91) '1A1F.3 FMT(0M2;0M3>;

(9?2) OTCNL(93) 0M4*- 3 21 p-ELE*SP. (I'NCHIES) GAP (INCHES,. ELK. H P. WAvEL. Alpp

r94) 0M'e31 S.G.(S-A

4 (~95) '20~~. FMT(OM4IOMS5>(96) OTCNL[97] DM"6- . 11 W CHAP* IMP EFF. DIEL. LINEWIDYM

(9?8) LDL2IOM7. 3. 7 PZ,E.LW(99 I '101, F10.3. 6(F8. 3)' 1DFMT :OM6I0; M7)

10 DM8. 1 31 PNO LENGTHtI) LENGTHN WIDTH ZO'

(101) Mo. 2 7 pLW. Z

(102] DM924 IS 2 P( 6PM(:;13).v 6Pm E;23)), m C;3 n*k6PM(C;4),m(;.3(6pM(:.6).m(;r)1(13 DM94VQ 315P.1.LLLMe(104) 2POTCNL(1053 A1x1A11A6Ax3A1 DFMTrOM8)

( 1006) 1 2F..I33FA..3I OFMTVDMQb(107] OTCNLI108)3 'HAPNESS WIDTH-

(111)9 u52aS13+LW23IlT2)L3L(L(10)xLoT12]-L(5), H,+LCC]X,,M

1113 OTCN-LIC3(laxOM,.L[3(LE;. OH)LC'.(111] '9SINBTLWEEN 2)LNE]EDGE AD ELEMT PATCH'53

115)3 HMa 1 22 pILINE 7 LINE 11 LINE15* 116] SS4- 1 3 pslssos

(117) 'X5q7A1.x';q8A1.7A1- OFMT(HH*%

(118 '3?F10.3' OFMT(SS\(119] 2poTCNL

* (~~120)]4LL.Xj(121) -

A-7

FILMED

1=84

DTIC