electromagnetic waves series 28 Handbook of microstrip AntennAs Edited by J R James & PS Hall IEE ELECTROMAGNETIC WAVES SERIES 28 Series Editors: Professor P. J. B. Clarricoats Professor Y. Rahmat-Samii Professor J. R. Wait Handbook of T ANTENNAS Volume 2 Other volumes in this series: Volume 1 Geometrical theory of diffraction for electromagnetic waves G. L. James Volume 2 Electromagnetic waves and curved structures L. Lewin, D. C. Chang and E. F. Kuester Volume 3 Microwave homodyne systems R. J. King Volume 4 Radio direction-finding P. J. D. Gething Volume 5 ELF communications antennas M. L. Burrows Volume 6 Waveguide tapers, transitions and couplers F. Sporleder and H. G. Unger Volume 7 Reflector antenna analysis and design P. J. Wood Volume 8 Effects of the troposphere on radio communications M. P. M. Hall Volume 9 Schumann resonances in the earth-ionosphere cavity P. V. Bliokh, A. P. Nikolaenko and Y. F. Flippov Volume 10 Aperture antennas and diffraction theory E. V. Jull Volume 11 Adaptive array principles J. E. Hudson Volume 12 Microstrip antenna theory and design J. R. James, P. S. Hall and C. Wood Volume 13 Energy in electromagnetism H. G. Booker Volume 14 Leaky feeders and subsurface radio communications P. Delogne Volume 15 The handbook of antenna design, Volume 1 A. W. Rudge, K. Milne, A. D. Olver, P. Knight (Editors) Volume 16 The handbook of antenna design, Volume 2 A. W. Rudge, K. Milne, A. D. Olver, P. Knight (Editors) Volume 17 Surveillance radar performance prediction P. Rohan Volume 18 Corrugated horns for microwave antennas P. J. B. Clarricoats and A. D. Olver Volume 19 Microwave antenna theory and design S. Silver (Editor) Volume 20 Advances in radar techniques J. Clarke (Editor) Volume 21 Waveguide handbook N. Marcuvitz Volume 22 Target adaptive matched illumination radar D. T. Gjessing Volume 23 Ferrites at microwave frequencies A. J. Baden Fuller Volume 24 Propagation of short radio waves D. E. Kerr (Editor) Volume 25 Principles of microwave circuits C. G. Montgomery, R. H. Dicke, E. M. Purcell (Editors) Volume 26 Spherical near-field antenna measurements J. E. Hansen (Editor) Volume 27 Electromagnetic radiation from cylindrical structures J. R. Wait Volume 28 Handbook of microstrip antennas J. R. James and P. S. Hall (Editors) Volume 29 Satellite-to-ground radiowave propagation J. E. Allnutt Volume 30 Radiowave propagation M. P. M. Hall and L. W. Barclay (Editors) Volume 31 Ionospheric radio K. Davies Handbook of STRIP ANTENNAS Volume 2 Edited by J R James & PS Hall Peter Peregrinus Ltd. on behalf of the Institution of Electrical Engineers Published by. Peter Peregrinus Ltd., London, United Kingdom © 1989: Peter Peregrinus Ltd. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means— electronic, mechanical, photocopying, recording or otherwise—without the prior written permission of the publisher. While the authors and the publishers believe that the information and guidance given in this work are correct, all parties must rely upon their own skill and judgment when making use of them. Neither the authors nor the publishers assume any liability to anyone for any loss or damage caused by any error or omission in the work, whether such error or omission is the result of negligence or any other cause. Any and all such liability is disclaimed. British Library Cataloguing in Publication Data Handbook of Microstrip Antennas 1. Microwave equipment: Microstrip antennas I. James, J. R. (James Roderick, 1933- II. Hall, P. S. (Peter S) III. Institution of Electrical Engineers IV. Series 621.381*33 ISBN 0 86341150 9 Printed in England by Short Run Press Ltd., Exeter Contents Volume 1 Foreword xvii Preface xix List of contributors xxi 1 Introduction — J.R. James and P.S. Hall 1 .1 Historical development and future prospects 1 .2 Fundamental issues and design challenges 3 1.2.1 Features of microstrip antenna technology 4 1.2.2 Fundamental problems 7 .3 The handbook and advances presented 17 .4 Glossary of printed antenna types 24 .5 Summary comments 40 .6 References 40 Analysis of circular microstrip antennas — L. Shafai and A.A. Kishk 45 2.1 Introduction 45 2.2 Formulation of the problem 47 2.2.1 Matrix formulation 50 2.2.2 Excitation matrix 58 2.2.3 Radiation fields 59 2.3 Application 1: Circular patch antenna 63 2.3.1 Surface fields 67 2.3.2 Feed location 67 2.3.3 Effect of the substrate permittivity 71 2.3.4 Effect of the substrate thickness 74 2.3.5 Effect of the ground-plane radius 76 2.3.6 Effect of the ground-plane thickness 81 2.3.7 Circular polarisation 83 2.3.8 Effect of a central shorting pin 85 2.4 Application 2: Wraparound microstrip antenna 85 2.5 Application 3: Reflector antenna feeds 96 2.6 Concluding remarks 107 2.7 References 108 vi Contents Characteristics of microstrip patch antennas and some methods of improving frequency agility and bandwidth — K.F. Lee and J.S. Dahele 111 3.1 Introduction 111 3.2 Cavity model for analysing microstrip patch antennas 112 3.2.1 Introduction 112 3.2.2 Feed modelling, resonant frequencies and internal fields 113 3.2.3 Radiation field 115 3.2.4 Losses in the cavity 116 3.2.5 Input impedance 118 3.2.6 VSWR bandwidth 118 3.2.7 Qualitative description of the results predicted by the model 119 3.3 Basic characteristics of some common patches 120 3.3.1 The rectangular patch 120 3.3.2 The circular patch 135 3.3.3 The equitriangular patch 149 3.3.4 Annular-ring patch 169 3.3.5 Comparison of characteristics of rectangular, circular, equitriangular and annular-ring patches 178 3.3.6 Brief mention of other patches 182 3.4 Some methods of improving the frequency agility and bandwidth of microstrip patch antennas 187 3.4.1 Introduction 187 3.4.2 Some methods of tuning MPAs 189 3.4.3 Dual-band structures 197 3.4.4 Electromagnetic-coupled patch antenna (EMCP) 207 3.5 Summary 214 3.6 Acknowledgments 214 3.7 References 214 Circular polarisation and bandwidth — M. Haneishi and Y. Suzuki 219 4.1 Various types of circularly polarised antenna 219 4.1.1 Microstrip patch antennas 220 4.1.2 Other types of circularly polarised printed antennas 222 4.2 Simple design techniques for singly-fed circularly polarised microstrip antennas 224 4.2.1 Rectangular type 224 4.2.2 Circular type 232 4.3 More exact treatment for singly-fed circularly polarised micro- strip antennas 235 4.3.1 Analysis 236 4.3.2 Conditions for circularly polarised radiation 241 4.3.3 Example 244 4.4 Some considerations on mutual coupling 249 4.5 Wideband techniques 253 4.5.1 Design of wideband element 253 4.5.2 Technique using parasitic element 264 4.5.3 Technique using paired element 270 4.6 References 272 Contents vii licrostrip dipoles — P.B. Katehi, D.R. Jackson and N.G. Alexopoulis 275 5.1 Introduction 275 5.2 Infinitesimal dipole 276 5.2.1 Analysis 276 5.2.2 Substrate effects 279 5.2.3 Superstrate effects 281 5.3 Moment-method techniques for planar strip geometries 282 5.3.1 Basis functions 282 5.3.2 Reaction between basis functions 284 5.3.3 Plane-wave-spectrum method 285 5.3.4 Real-space integration method 286 5.3.5 Point-dipole approximation 287 5.3.6 Moment-method equations 287 5.4 Centre-fed dipoles 287 5.4.1 Single dipole 287 5.4.2 Mutual impedance 291 5.5 EMC dipoles 295 5.5.1 Methods of analysis 295 5.5.2 Single dipole 295 5.5.3 Multiple dipoles 299 5.6 Finite array of EMC dipoles 301 5.6.1 Analysis 301 5.6.2 Calculation of coefficients 302 5.6.3 Array design 305 5.7 Conclusions 308 5.8 References 309 Multilayer and parasitic configurations — D.H. Schaubert 311 6.1 Introduction 311 6.2 Stacked elements for dual-frequency or dual polarisation operation 312 6.2.1 Antennas with separate feeds for each function 313 6.2.2 Antennas for multiple frequencies and increased bandwidth 320 6.3 Two-sided aperture-coupled patch 330 6.4 Parasitic elements on antenna substrate 337 6.5 Summary 350 6.6 References 350 Wideband flat dipole and short-circuit microstrip patch elements and arrays — G. Dubost 353 7.1 Flat dipole elements and arrays 353 7.1.1 Elementary sources 353 7.1.2 Array designs: losses and efficiencies 367 7.2 Short-circuit microstrip patches and arrays 374 7.2.1 Elementary source 374 7.2.2 Array designs 378 7.3 References 391 viii Contents 8 Numerical analysts of microstrip patch antennas — J.R. Mosig, R.C. Hall and F.E. Gardiol 393 8.1 Introduction 393 8.1.1 General description 393 8.1.2 The integral equation model 394 8.2 Model based on the electric surface current 395 8.2.1 Geometry of the model and boundary conditions 395 8.2.2 Potentials for the diffracted fields 397 8.2.3 Green's functions 398 8.2.4 Mixed potential integral equation (MPIE) 400 8.2.5 Sketch of the proposed technique 401 8.3 Horizontal electric dipole (HED) in microstrip 403 8.3.1 The vector potential 403 8.3.2 Scalar potential and the fields 405 8.3.3 Surface waves and spectral plane k 406 8.3.4 Far-field approximations 408 8.3.5 Radiation resistance and antenna efficiency 413 8.4 Numerical techniques for Sommerfeld integrals 417 8.4.1 Numerical integration on the real axis 417 8.4.2 Integrating oscillating functions over unbounded intervals 420 8.5 Construction of the Green's functions 421 8.6 Method of moments 423 8.6.1 Rooftop (subsectional) — basis functions 423 8.6.2 Entire domain basis functions 429 8.7 Excitation and loading 431 8.7.1 Several microstrip-antenna excitations 431 8.7.2 Coaxial excitation and input impedance 432 8.7.3 Multiport analysis 434 8.8 Single rectangular patch antenna 436 8.8.1 Entire-domain versus subdomain basis functions 437 8.8.2 Convergence using subsectional basis functions 440 8.8.3 Surface currents 441 8.9 Microstrip arrays 443 8.9.1 Array modelling 444 8.9.2 Mutual coupling 445 8.9.3 Linear array of few patches 449 8.10 Acknowledgments 452 8.11 References 452 9 Multiport network approach for modelling and analysis o fmicrostrip patch antennas and arrays — K.C. Gupta 455 9.1 Introduction 455 9.2 Models for microstrip antennas 456 9.2.1 Transmission-line model 456 9.2.2 Cavity model 458 9.2.3 Multiport network model 462 9.3 Z-matrix characterisation of planar segments 467 9.3.1 Green's functions 467 9.3.2 Evaluation of Z-matrix from Green's functions 468 9.3.3 Z-matrices for segments of arbitrary shape 472 Contents ix 9.4 Edge-admittance and mutual-coupling networks 475 9.4.1 Edge-admittance networks 475 9.4.2 Mutual-coupling network 482 9.5 Analysis of multiport-network model 488 9.5.1 Segmentation method 488 9.5.2 Desegmentation method 494 9.6 Examples of microstrip antenna structures analysed by multiport- network approach 499 9.6.1 Circularly polarised microstrip patches 499 9.6.2 Broadband multiresonator microstrip antennas 507 9.6.3 Multiport microstrip patches and series-fed arrays 509 9.7 CAD of microstrip patch antennas and arrays 517 9.8 Appendix: Green's functions for various planar configurations 519 9.9 Acknowledgments 522 9.10 References 522 10 Transmission-line model for rectangular microstrip antennas — A. Van de CapeDe 527 10.1 Introduction 529 10.2 Simple transmission-tine model 529 10.2.1 Description of the transmission line model 529 10.2.2 Expressions for G and B 533 s s 10.2.3 Expressions for the tine parameters 537 10.3 Improved transmission-line model 538 10.3.1 Description of the improved transmission-line model 538 10.3.2 Expression for the self-susceptance B 541 s 10.3.3 Expression for the self-conductance G 541 s 10.3.4 Expression for the mutual conductance G 544 m 10.3.5 Expression for the mutual susceptance B 548 m 10.3.6 Expressions for the line parameters 551 10.4 Application of the improved transmission-line model 553 10.4.1 Analysis and design of rectangular microstrip antennas 553 10.4.2 Comparison with other methods 555 10.4.3 Comparison with experimental results 556 10.4.4 Design application 557 10.5 Transmission-tine model for mutual coupling 561 10.5.1 Description of the model 561 10.5.2 Calculation of the model parameters 570 10.5.3 Comparison with other methods 573 10.6 Acknowledgements 577 10.7 References 577 11 Design and technology of low-cost printed antennas — J.P. Daniel, E. Penaid and C. Tenet S79 11.1 Introduction 579 11.2 Analysis of simple patches and slots 580 11.2.1 Rectangular and circular patches 580 11.2.2 Conical antennas 601 11.2.3 Linear and annular slots 606 11.3 Design of planar printed arrays 622 11.3.1 Design parameters 622
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