electromagnetic waves series 28 The Handbook of AnTennA Design VOLUMe 2 editors A.W. Rudge K. Milne A.D. Oiver P. Knight Peter Peregrinus Ltd on behalf of the Institution of Electrical Engineers IEE ELECTROMAGNETIC WAVES SERIES 16 SERIES EDITORS: PROFESSOR P.J.B. CLARRICOATS E.D.R. SHEARMAN AND J.R. WAIT The Handbook of VOLUME 2 Previous volumes in this series Volume 1 Geometrical theory of diffraction for electromagnetic waves Graeme L. James Volume 2 Electromagnetic waves and curved structures Leonard Lewin, David C. Chang and Edward F. Kuester Volume 3 Microwave homodyne systems Ray J. King Volume 4 Radio direction-finding P. J. D. Gething Volume 5 ELF communications antennas Michael 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 Martin P. M. Hall Volume 9 Schuman resonances in the earth-ionosphere cavity P. V. Bliokh, A. P. Nikolaenko and Y.F. Filippov 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 Editors: A.W. Rudge, K. Milne, A.D. Olver, P. Knight The Handbook of uvJLK. VOLUME 2 Editors A.W.Rudge K. Milne A.D.OIver P.Knight Peter Peregrinus Ltd on behalf of the Institution of Electrical Engineers List of Contributors VOLUME 2 EDITORS CHAPTER LEADERS CONTRIBUTORS A.W. Rudge R.C. Hansen K.G. Corless K. Milne G.. Borgiotti D. Hicks A.D. Olver D.E.N. Davies P. Knight R.H.J. Cary J. Belrose M. Radford A. Burberry W.T. Blackband Published by Peter Peregrinus Ltd., London, UK. ©1983: 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. British Library Cataloguing in Publication Data The Handbook of antenna design. Vol. 2. —(Electromagnetic waves; 16) 1. Antennas (Electronics)—Design and construction I. Rudge, A.W. II, Series 621.384V35 TK7871.6 ISBN 0-906048-87-7 Printed in England by Short Run Press Ltd., Exeter Contents List of contributors iv Preface xiii 9 Linear arrays - R. C. Hansen 1 Introduction 1 9.1 Design of array excitation 2 9.1.1 Narrow beam, low sidelobe pattern 4 9.1.2 Pattern synthesis 42 9.1.3 Superdirective arrays 54 9.1.4 Thinned arrays 68 9.1.5 Array tolerances and limits 73 9.2 Array feeds 79 9.2.1 Resonant arrays 81 9.2.2 Travelling-wave arrays 87 9.2.3 Corporate line and distributed feeds 98 9.2.4 Phaser and sub-array lobes 104 9.3 Array elements 109 9.3.1 Dipoles 109 9.3.2 Waveguide slots 113 9.3.3 Scan compensated elements 121 9.3.4 Printed-circuit antennas 126 9.3.5 Moderate gain elements 133 9.4 References 134 10 Planar arrays - R. C. Hansen 141 Introduction 141 10.1 Array excitation 141 10.1.1 Array lattice 141 10.1.2 Beamwidth 143 10.1.3 Grating lobes 147 10.1.4 Quantisation lobes 151 10.1.5 Directivity 151 10.1.6 Planar array excitation 156 10.2 Array feeds 161 10.2.1 Fixed beam arrays 161 10.2.2 Electronic scanning in one plane 166 10.2.3 Electronic scanning in both planes 167 10.3 Mutual coupling 170 10.3.1 Fundamentals 172 vi Contents 10.3.2 Element-by-element approaches 181 10.3.3 Periodic cell approach 203 10.3.4 Scan compensation 218 10.4 References 222 11 Conformal arrays - G. Borgiotti 227 11.1 Introduction 227 11.2 Conformal array analysis 229 11.2.1 General 229 11.2.2 Formal characterisation of an array 230 11.2.3 Internal and external mutual couplings 233 11.2.4 Multimode aperture elements: Generalised scattering coefficients 235 11.2.5 Mutual admittances and scattering coefficients 238 11.3 Cylindrical array of apertures 240 11.3.1 Field of a magnetic current on a circular conducting cylinder 240 11.3.2 Harmonic series expressions for the mutual and self admittances 242 11.3.3 GTD surface field calculation 244 11.3.4 GTD expressions for the mutual admittances 247 11.3.5 Radiation pattern evaluation 252 11.4 Cylindrical arrays with a large number of elements: The periodic structure approach 257 11.4.1 Periodic infinite array model 257 11.4.2 Eigenexcitations and eigenpatterns and their use in array analysis 258 11.4.3 Evaluation of the eigenvalues of the admittance matrices 261 11.4.4 Array RGP for an arbitrary excitation: Single excited element RGP 264 11.4.5 Aperture matching and element pattern design 265 11.4.6 Numerical examples and discussion 267 11.5 GTD evaluation of mutual admittances: Generalisation to a generic convex surface 270 11.6 Conical arrays 274 11.6.1 Self and mutual admittances 274 11.6.2 Radiation pattern 278 11.7 Acknowledgement 284 11.8 Appendices 284 11.8.1 Modal admittances for rectangular and circular waveguides 284 11.8.2 Fourier transforms of the vector mode functions for rectangular and circular waveguide radiators 286 11.8.3 Fock functions 288 11.8.4 Evaluation of the radiation pattern of an aperture on a large conducting cylinder 290 11.8.5 Eigenex citations of the periodic cylindrical array 295 11.9 References 296 12 Circular arrays - D. E. N. Davies 298 12.1 Introduction 298 12.2 Beam cophasal excitation 299 12.2.1 Wideband performance 302 12.2.2 Electronic scanning for beam-cophased patterns 302 12.3 Amplitude-mode and phase-mode excitation of circular arrays 305 12.3.1 Concept of phase and amplitude modes for continuous circular arrays 305 12.3.2 Phase modes in circular arrays employing a finite number of omnidirectional elements 309 12.3.3 Phase modes in circular arrays employing directional elements 310 12.4 Excitation networks for phase modes on circular arrays 314 Contorts 12.5 Mutual coupling in circular arrays 318 12.6 Applications of circular arrays 319 12.6.1 Communication applications 319 12.6.2 Radar applications 321 12.6.3 Circular arrays in direction finding 323 12.7 References 327 13 Array signal processing - D. E. N. Davies, K. G. Corless, D. S. Hicks and K. Milne 330 13.1 Introduction 330 13.1.1 Applications of array signal processing 331 13.2 ASP receiving systems for radar 332 13.2.1 Multiple beams 332 13.2.2 Multiple beams from element sampling 336 13.2.3 Equivalence between multiple beams and Nyquist rate beam scanning 337 13.2.4 Sidelobe levels in floodlight transmission systems 341 13.2.5 Compatability of ASP with other radar processing schemes 341 13.3 ASP in combined transmit and receive antenna systems 342 13.3.1 Pulse compression in angle by within pulse scanning on transmission 343 13.3.2 Array thinning on both transmit and receive by the use of ASP 344 13.3.3 Multiple beam operation on transmit and receive 347 13.3.4 Within pulse time sampling of transmitting array 347 13.3.5 Within pulse frequency scanning 348 13.3.6 Directionally decorrelated transmitter beams 349 13.3.7 Alternative configurations including multistatic systems 353 13.3.8 Signal processing technologies 354 13.4 Multiplicative signal processing and post-demodulation synthetic aperture techniques 357 13.4.1 Interferometers 357 13.4.2 Interferometers with multiplicative processing 359 13.4.3 Principles of multiplicative arrays 360 13.4.4 Spatial frequency response for multiplicative arrays 363 13.4.5 Multiple source excitation of multiplicative arrays 365 13.4.6 Signal and noise performance of multiplicative arrays 367 13.4.7 Post-demodulation synthetic aperture antennas 368 13.5 Coherent synthetic aperture antennas 371 13.5.1 Principle 371 13.5.2 Unfocused synthetic aperture 374 13.5.3 Focused synthetic aperture 376 13.5.4 Minimum number of samples 380 13.5.5 Signal-processing hardware 382 13.5.6 Radar PRF 382 13.5.7 Doppler-frequency interpretation 382 13.5.8 Radar performance 383 13.5.9 Response to target scintillation and motion 384 13.5.10 Applications 385 13.6 Null steering 385 13.6.1 Introduction 385 13.6.2 Multiple nulls 386 13.6.3 Multi-element null-steering arrays 388 13.6.4 An orthogonal beam-forming network 391 13.6.5 Multi-element array with single null steering 393 13.6.6 Sidelobe canceller 395 13.6.7 Discussion 397 13.7 Adaptive null steering 399 viii Contents 13.7.1 Introduction 399 13.7.2 Sidelobe cancellers 400 13.7.3 Adaptive arrays 407 13.8 References 454 14 Radomes - R. J. Carey 457 14.1 Introduction 457 14.1.1 Definitions 457 14.1.2 History and background 457 14.1.3 Constructions 458 14.1.4 Disadvantages and advantages of radomes 460 14.2 Basic radome requirements 461 14.2.1 General requirements 461 14.2.2 Environmental requirements 461 14.3 Basic electrical properties of dielectric radome construction 462 14.3.1 Transmission parameters 462 14.3.2 Transmission of a single-layer construction 463 14.3.3 Transmission of an A sandwich construction 464 14.3.4 Transmission of the B sandwich construction 466 14.3.5 Transmission of the C sandwich and further multi-layer constructions 468 14.4 Design of shaped radomes 469 14.5 Radome materials 476 14.5.1 Materials and their requirements 476 14.5.2 Fibre-reinforced resin laminates 478 14.5.3 Core materials for resin-fibre laminates 433 14.5.4 High-temperature materials 488 14.5.5 Loaded and artificial dielectrics 498 14.5.6 Rain-erosion-resistant materials 499 14.6 Radome structures 501 14.6.1 Near spherical rigid shapes (usually on land or sea) 501 14.6.2 Non-spherical rigid shapes (airborne applications) 503 14.7 Airborne radomes 507 14.7.1 Wide-band transmission designs 507 14.7.2 Multi-band radome designs 511 14.7.3 Aberration and its reduction 515 14.7.4 Cross-polarisation introduced by radomes, and its reduction 521 14.7.5 Reduction of radome reflections 528 14.7.6 Effects of radome hardware (rain-erosion cap, pitot systems and lightning protection) 533 14.7.7 Prediction and reduction of radome hardware degradation 536 14.8 Ground and ship borne radomes 536 14.8.1 Environmental considerations for ground radomes 537 14.8.2 Air-supported radomes 541 14.8.3 Rigid radomes 542 14.9 Further radome developments 549 14.10 Acknowledgements 5 50 14.11 References 5 50 15 VLF, LF and MF Antennas - J. Belrose 553 15.1 Introduction 553 15.2 Analysis 554 15.2.1 Characteristics of vertical antennas 554 15.2.2 Parameters needed to specify performance 556 15.2.3 Methods for calculating antenna parameters 557 Contents ix 15.2.4 Radiation resistance 559 15.2.5 Antenna impedance 562 15.2.6 Relation between electrical height and physical height 564 15.2.7 Mutual impedance between monopole antennas 565 15.2.8 Effect of ground conductivity and ground systems on antenna terminal impedance 569 15.2.9 Effect of the finite conductivity of the earth on the vertical antenna radiation pattern 574 15.2.10 Conductor and tuning-coil losses 577 15.3 Practical antenna design: Loaded antennas 578 15.3.1 Types and methods of feed 578 15.3.2 T-type antenna 580 15.3.3 Transmission-line radiator 584 15.3.4 Diamond antenna 586 15.3.5 Large VLF antenna 587 15.3.6 Umbrella antenna 588 15.3.7 Multiple-tuned VLF antennas 597 15.4 Practical antenna design: Unloaded antennas 598 15.4.1 Vertical monopolesh < \/4 598 15.4.2 Vertical monopoles \/4< h < 5/8\ 599 15.4.3 Vertical monopoles h < 5/8\ 603 15.4.4 Folded monopoles 604 15.5 Broadcast antennas 606 15.5.1 Introduction 606 15.5.2 LF broadcast antennas 607 15.5.3 Anti-fade antennas 608 15.5.4 Directional arrays 611 15.5.5 Distortion of MF broadcasting antenna patterns due to re-radiation 615 15.6 Portable and mobile antennas 624 15.6.1 VLF/LF aircraft wire antennas 625 15.6.2 Dipole antennas on the surface of the ground 625 15.6.3 Electrically short mobile whip antennas 627 15.6.4 Interaction of antennas with their platforms 629 15.6.5 Tuning and matching electrically short antennas 631 15.6.6 Ground effects when only a few radial wires are employed 633 15.7 Long wires antennas, dipoles and loops 634 15.7.1 Travelling-wave antennas 634 15.7.2 Inverted-V dipole antenna 634 15.7.3 Half-delta loop antenna 636 15.8 Receiving antennas 636 15.9 Practical antenna design 640 15.9.1 Guyed radio antenna masts 640 15.9.2 Base insulators for guyed masts 640 15.9.3 Guy strain insulators 643 15.9.4 Top loading design 644 15.9.5 Antenna tuning unit 648 15.9.6 Arrangement of the antenna tuning unit 651 15.9.7 Feeding a single tower radiator at two MF frequencies 652 15.9.8 Unique installations 655 15.10 References 658 16 High-frequency antennas - M. F. Radford 663 16.1 Introduction to HF 663 16.1.1 HF propagation 663
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