FOUNDATIONS FOR RADIO FREQUENCY ENGINEERING 9040hc_9789814578707_tp.indd 1 17/9/13 10:08 AM May2,2013 14:6 BC:8831-ProbabilityandStatisticalTheory PST˙ws TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk FOUNDATIONS FOR RADIO FREQUENCY ENGINEERING Wen Geyi Nanjing University of Information Science & Technology, China World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI 9040hc_9789814578707_tp.indd 2 17/9/13 10:08 AM Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data Wen, Geyi. Foundations for radio frequency engineering / by Wen Geyi (Nanjing University of Information Science & Technology, China). pages cm Includes bibliographical references and index. ISBN 978-9814578707 (alk. paper) 1. Radio wave propagation--Mathematics. 2. Electromagnetic waves--Mathematical models. 3. Microwaves. I. Title. II. Title: Radio frequency engineering. QC665.T7W46 2015 621.384--dc23 2014045142 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright © 2015 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. In-house Editors: Sutha Surenddar/Steven Patt Typeset by Stallion Press Email: [email protected] Printed in Singapore Sutha - Foundations for radio frequency.indd 1 24/11/2014 1:56:53 PM January28,2015 11:6 FoundationsforRadioFrequencyEngineering-9inx6in b1914-fm pagev To my parents To Jun and Lan v May2,2013 14:6 BC:8831-ProbabilityandStatisticalTheory PST˙ws TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk January28,2015 11:6 FoundationsforRadioFrequencyEngineering-9inx6in b1914-fm pagevii Preface In an age of knowledge explosion, students have to meet the challenges of maintaining perspective amid a deluge of information and change in theirdevelopmentsofexpertise.Thetraditionaluniversitycoursesandtheir contentsmustthereforebedesigned,plannedormergedaccordinglysothat the students can master the core materials that are needed in their future careers,whilehavingenoughtimetostudythenewcoursestobefrequently added to the curriculum. With the rapid development of wireless communication technologies, the demand on wireless spectrum has been growing dramatically. This results in extensive and intensive research in radio frequency (RF) the- ory and techniques, and substantial advancements in the area of radio engineering, both in theory and practice, have emerged in recent years. RF engineering deals with various devices that are designed to operate in the frequency range from 3kHz to 300GHz, and therefore covers all areas where electromagnetic fields must be transmitted or received as a carrier wave. For this reason, a good RF engineer must have in-depth knowledge in mathematics and physics, as well as specialized training in the areas of applied electromagneticssuchas guided structuresand microwavecircuits, antenna and wave propagation, and electromagnetic compatibility (EMC) designs of electronic circuits. RF engineering is closely linked to three IEEE (Institute of Electrical and Electronics Engineers) professional societies: Microwave Theory and Techniques(MTT), AntennasandPropagation(AP)andEMC.Tradition- ally, different courses have been created to meet the needs for different societies. For example, the students oriented to the MTT society must take the courses such as Microwave Engineering, or Field Theory of vii January28,2015 11:6 FoundationsforRadioFrequencyEngineering-9inx6in b1914-fm pageviii viii Preface Guided Waves. For the students specialized in AP and EMC societies, the coursesAntennaTheory andDesign andElectromagneticCompatibility are compulsory. Nevertheless, these three professional societies are intimately related as they have numerous things in common in terms of theories and techniques.Manyprofessionalsareoftenactive inthe three societiesatthe same time. In fact, a typical RF department in a wireless company has engineers working in different areas belonging to these societies, and most of the time, they have to work together to solve an engineering problem as a team. Theabovetrendsindicatethatitisnecessaryandalsopossibletocreate a new course or a book that provides the fundamentals of microwaves, antennas and propagation, and EMC in a common framework for the students, engineers and applied physicists dedicated to the three IEEE societies. The topics in RF engineering are enormous. The contents of the book have been selected on the basis of their fundamentality and importance to suit various needs arising in RF engineering. All areas of RF engineering are established on the solutions of Maxwell equations, which can be solved either analytically or numerically. Before the inven- tion of computers, analytical methods were the dominant tools for the analysis of electromagnetic phenomena, often involving the applications of sophisticatedmathematicsandclosed-formsolutions.Nowadays,computer technology plays a tremendous role in our daily life as well as in scientific researchactivities.By taking advantage ofthe capabilities of moderncom- puter technologies and the state-of-the-art computer-aided design (CAD) tools, the numerical methods are capable of solving many complicated problems encountered in practice and they occupy a significant piece of current academic research. In electromagnetic society, numerical methods havebeentreatedin manyreferences.For this reason,this bookessentially examines analytical techniques while typical numerical methods and their applications will also be discussed. OneoftheimportantresearchareasofRFengineeringisthemicrowave field theory which may be applied to the analysis of guided waves, resonances, radiations and scattering. In many situations, a microwave field problem can be reduced to a network or circuit problem, allowing us to apply the circuit and network methods to solve the original field problem.Thenetworkformulationhaseliminatedunnecessarydetailsinthe field theory while reserving useful global information, such as the terminal voltages and currents. As a consequence, many RF engineers now largely rely on CAD tools and circuit analysis with little or no field analysis. January28,2015 11:6 FoundationsforRadioFrequencyEngineering-9inx6in b1914-fm pageix Preface ix This procedure, however, is not always successful. In fact, the initial RF circuits resulting from CAD tools usually bear little resemblance to the finaldesign,andrevisionsareneededtoachievetherequiredperformances. One should always remember that the field theory is the foundation of the circuit analysis,and its importance cannot be overemphasizedin order for best innovation practices. For this reason, both microwave field theory and circuit design theory are discussed in this book, which features a wide coverageofthefundamentaltopicssuchaselectromagneticboundaryvalue problems, waveguide theory, microwave resonators, microwave circuits, antennas and wave propagation, EMC techniques, and information theory and typical application systems. The book consists of 8 chapters. Chapter 1 reviews the fundamental electromagnetic theory. The basic properties and important theorems derived from Maxwell equations are summarized. When applied properly, these properties and theorems may bring deep physical insight into the practical problems and simplify them dramatically. Various solution methodsfortheboundaryvalueproblemsrelatedtoMaxwellequationsare discussed,whichincludesthemethodofseparationofvariables,themethod of Green’s functions, and the method of variations. Some important topics such as numerical techniques and potential theory are also addressed. Chapter 2 deals with the waveguide theory. Waveguides are the cornerstoneofmicrowaveengineeringandtheircounterpartsareconnecting wiresinlowfrequencycircuits.The waveguidetheorycanbe formulatedas an eigenvalue problem with the cut-off wavenumbersbeing the eigenvalues andeigenfunctionsbeingthecorrespondingvectormodalfunctions.Avari- ationalprincipleexistsforthecut-offwavenumbersandcanbeexpressedas aRayleighquotient.Thevectormodalfunctionsaretheextremalfunctions that make the Rayleigh quotient stationary and constitute a complete set. The typical waveguide eigenvalue problems are solved by the method of separation of variables as well as by various numerical methods. The waveguide discontinuities or waveguide junctions are analyzed by the field expansions in terms of the vector modal functions as well as numerical methods. Also presented in this chapter are inhomogeneous waveguides such as dielectric waveguides and microstrip lines, transient phenomena in waveguides, and periodic structures. A resonator is a device that oscillates at some frequencies (called resonant frequencies) with greater amplitude than at others, and it is used to either generate waves of specific frequencies or to select specific frequencies from a signal. Its counterpart is the LC resonant circuit at
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