Ove ANALYSIS AND DESIGN OF INTEGRATED-CIRCUIT HORN ANTENNAS FOR MILLIMETER AND SUBMILLIMETER-WAVE APPLICATIONS by George Vassos Eleftheriaues A dissertation sxbmitted in partial fulfillment of tke requirements for the slegree of Doctor of Philosophy ‘Blectrical Engincering] in The University of Michigan 1968 Doctoral Committee: Associate Professor Gabriel M. Reheix, Chairman Professor Pal G. Rederhush Professor George 1, Haddad Aswelate Pro‘essur Linda P.. Katehi Professor Thomas B.A. Senior Professor Davie U. Rutledge (Blectrieal Engineering, California Instibcle of Technology) L290 = RL-290 wo © Ritnigbis Nownrved ‘Yo my wile Masi my son Basil and my patents ACKNOWLEDGEMENTS 1 would like te express my sincere gralilude Lo any advisor Prof. Gabyie: Rebel fer his guidance, support, encouragement and ftiendstip énring the past fon years He was always wildug and kappy to provide bis help when | needed it, Hie physical intuition and ability to resoive and simmplify complex: problems directly inihuenced thie work, | arn aizo indebted lo Prof. Linda Katehi with whom I have regulanly interacted during the course of my research, ler technical expertise, promrps help and friendship is gratefclly acknowledged, 1 would also like to thank al the vurmbers of muy emnrmilen for Useic useful snggestions, Musk of tlem were also uny teaciers in graduate courser aod therefore Uey inpliitly influenced uny research, The consent of rol, David Rutledge to participate in my conmittes whie being a Professor at the California Institute of Technology ia acknowledged wilh appreciation ‘The main thrust bebind this work was Ube need for designing antonzas eorapatible with incegrated circuit fabrication techniques for millimeter-wave: and quasi-uptieal applications, The clase interaclion between the theorclical au th experiowetal woul, conducted in Prof. Rebeit’s gromp proved lo be very smeceeaful in [ul6ling this need, In this framework 1 am grateful fo my friend Walid Ab-Atnuad for Gabuicating most of dhe antenna structures encountered im this work, Also [ wml Eke lr exgmess ray appreciation to the members of our group Steven Cearhark and Claen-Yo Chi for implementing ar testing the dieiectric-slah intcgraled horn antona presente ia chapter VI 1 esr cay appreciation to the NASA/Cenier for Space Teraherts Technology and the Racker: School of Graduate Stolies for financial support 1. wold be posi to acknowledge al the people who contributed exter ech nivallyor hy offering their tiendship tothe completion of this work. ann espcially grateful to Drs, Norman VandevBerg, Nad Di, Leland Picnre ang Peo’, Emilie Vandeventer for both thei tecrical help and Ieir friendship. For the same reason. I vould als like to thank my colleagues Rhonde D: 3, Leo Kevopelad Dan Fe ipuvie. Special apprecintion is due to Manos Msvzikeis fr is ely al camaraderie luring the pam fons yours. For their comipaniouship E wish alo co arknowiedge Ir. Dims Lysis, Nikos Malamatars, Kasra Barkeshli, Prof, Prodromos Daoutices and Messrs, Walid Al-Abonad, Paul Polatia, Apostolos Samy and Dimitris Pon dis [woud tke co eend soy dacpapprvision o my wife Mari for her understan= ing patience and love during the difnl journey ofthe PID. My title son Basi contributed a let of «+ smiles desing the writing lla ofthis dissertation and be deserves special mention [At ast but not lat E wis to acknowledge muy profound gratituse to ang pareute for forging me values nif hy showing me that education innot measuted by aeadeavic tities but ly cthirs, integrity, kindness ane diversity of inteseats TABLE OF CONTENTS DEDICATION ACKNOWLEDGEMENTS LIST OF FIGURES LIST OF TABLES LIST OF APPEND CHAPTER 1 ENTRODUCTION 1.1 Millimeter and Submillimeter Wave Antensas 1.2. ‘The TotegeauedCireu!t Born Antena, 14 Online of the Thesis Il. MODE MATCHING USING GENERALIZED SCATTER- ING MATRICES . 21 Moth: Matching for « Slep Discontinuity 2.2 Properties of the Generalized Seattesing: Malnicar B21 Syenmmetzy: General Case : 2.2.2 Conservation of the Complex Power: Stey-diseumlinnity 21 223 Conservation of the Reaction: Step-discomtimuity . 224 Numerical Verication alixad Scalzeciny Malriews in Canrade 23.1 Numerical Stability Isoues 24 Summary and Conclusions 2a Gi IIL FULL-WAVE ANALYSIS OF THE INTEGRATED HORN ANTENNA EMBEDDED IN A GROUND-PLANE 31 Comstrarion of bie Rleetrie Field Invcgral 1 3.2. Derivetion of the Green's Function 4H Sulusion of che EFT Using the Method of Morenix [MoM ‘quation (EPL W 1s 19 26 28 31 ut 34.1 Choice of the Basis Foactions 33.2 Cenrymsatinn of tle Input Impecance 3.3.3 Concputacion of the Far-Zeld Paterus 3A Numerica! and Experimental Res B41 Convergence Chararteristies 342 Interesling Properties of Dipole-Fed Hom Ancenzas 38 54.8 Numerical Results: Design Agwels 39 3A4 Expecimenta! Results 65 3.5 Sucimary and Cenlagors . m IV, HIGH-GAIN STEP. PROFILED INTEGRATED DIAGONAL MORN- ANTENNAS, . 2 41 The Step-Profiled Integrated Diagonel Horn Antena 1 42 Vheoresical Analysis . 8 43° Coupling to a Gaussian Boamn m8 44. Design Examples ané Mensurements : 43 Practical Recommenaliozs, 8 48 Sunnmary and Canlaon # Y. TIE QUASL-INTEGRATED HORN ANTENNA: DESIGN AND ANALYSIS .. + 5.1 Multinode Aperture Analysis ar) 5.2. Coupling to a Cassegrain Antorma.. - 100 5A. Aualysis of the Machined Section and Desa Prosism 104 4A Nunveiral and Experimental Results 109 S41 Some General Remarks see 123 5. Sunnnary and Conclusions 125 ‘VL TWO-DIMENSIONAL INTEGRATED IIORN ANTENNA ARRAYS, + 6.1 Derivation of che Flayuet-Modes G11 E-Plane Sean 612 HPlane Sean 62 Full-wave Analysie 62.1 Patterns 62.2 Irpedances 63. Numerical and Experimental Revulls 63.1 Patcemns 63.2 Impedances 84 Smemary and Conclusions ‘VIL. INTEGRATED HORN ANTENNAS EXCITED BY A STRIP- DIPOLE PRINTED ON A DIELECTRIC WAFER 1A TA Scleetion of the Divlectric T 1d TAI Dielertric with o = 3. “ 1 TL2 Dielectric with «. — 12: Si/Cade 159 7.2. Nunserical aud Experienentat Resulis . 162 72.1 Divlecusie wich ¢ = 4.75: Impedances 162 7.22 Dieloruric with ¢- — 12: Ieupedancer 187 2A Dielecrric with ¢ = 12: Patterns see IBS TA Smnmnacy an Goxelusions 7 APPENDICES aa BIBLIOGRAPHY : 205 13 2 33 aol LIST OF FIGURES ‘The basic stracture: of an inteprated-citentt hom antenna. ‘The integrated-clecuit hen auleana in a 2-limensional array config: vration, ‘Whe genetai configsration of th: quasi-integrated multimetls har A typical waveguide slep discontinuicy, A discontinuity having port #1 excited by the * mode establishing fidds of ease A flop) , and lasing port #2 excited by she j™ mode cotablising fields of case B (bostam). A eiscomfieminy having port 71 excited by the mode establishing finkls of case A (top) , and having por! 41 excited by the j** mode establishing fields of ean B (bottom, A waveguide taper approximated nected through saveguidle sections ‘series of waveguide steps con Combination af S-matrices in cascade, Apprositetion of the hom geometiy by cascaded waveguide slop discontinuities. ‘The sitmplified problem in which 1 Hextvian dipole excites the soar waveguide section which is terminated in twa melUinode loads, A centered dipole of length £, and wideh w. Cozvergenve with respert to the number af secondary anaes {up to the TEs... and the TMjsgs mode ane included in the primary part cof the Green's function) 0 u 20 R 0 46 52 36 ay Couvergeuce wit, -apect to bac number of secondary movies (up to the TR; and the TMs; mole are inciuded in the secondary field, Convergence with: reaper which the istegrsted to the number nf waveguide secuias i is approximated. . Far field pattenns for a 70° horn Laving a square aperture of size 1354 asd wscited by an iefinitesima: dipole ata distance of 0.98) ftom the hora apex (ick), and al a distance of OSI fran La horn apex (vight) Muguitude of the born eperture Eefield when the feed-position is at 0.384 frorn the apes (top) ann slew Ale fesd-pusiloe i at 0.81 frre the apex {bottom} hu: Bepline pattern ar & 1,953 square integrased horn when excited ar three different poritioc® nea the apex of the hora Partield patterns of au .00.-sate integrated bor Parcel patterns af ia “.61Asaysaee integrated lnm. « field patterns of an -.80,-squate integrated hom, Barctield patterns nf a 2.4002-square iuegrate! hor sri pauleris nf a 2294-nquare integrated hoe. arefild patterns wf a 2424-uquare inegcatea hoe, Predicted wal rosin dipole resonaetresiscance and resonant lengch (L— §/2) es. dipule posit from uhe apes (ar = W154}. Nove Ihe regia of no resonance in the center of the hora, Predicted and measured dipole impedancr: vs. frequeney for a feed ‘sition of G41 top) and 0.504 (botzom) from the apex. The dipole Teagths exe & = 038% and fj = OSA eeapoctively al the central Froyueney, and che dipole width: is w = 0.0151. Predicted and ncasurel Fand Heplane poteerns at 2GHz, Predioted and measured E> ftps ané 45% plane Jbocboro) pattores a1 120He, The oxclitory natere of the measured Feplane pattern at large argh is dco misalignment steps in the sidewalls. {Notice the ferent verlical scales ween the E,H (top) an. 43" -plane {bottom}. 7 8 st 6 6 68 Cy
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