ORTHOGONAL METHODS FOR ARRAY SYNTHESIS ORTHOGONAL METHODS FOR ARRAY SYNTHESIS Theory and the ORAMA Computer Tool John N. Sahalos Radiocommunications Laboratory University ofThessaloniki, Greece Copyright2006 JohnWiley&SonsLtd,TheAtrium,SouthernGate,Chichester, WestSussexPO198SQ,England Telephone(+44)1243779777 Email(forordersandcustomerserviceenquiries):[email protected] VisitourHomePageonwww.wiley.com AllRightsReserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedin anyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,exceptunderthe termsoftheCopyright,DesignsandPatentsAct1988orunderthetermsofalicenceissuedbytheCopyright LicensingAgencyLtd,90TottenhamCourtRoad,LondonW1T4LP,UK,withoutthepermissioninwritingofthe Publisher.RequeststothePublishershouldbeaddressedtothePermissionsDepartment,JohnWiley&SonsLtd, TheAtrium,SouthernGate,Chichester,WestSussexPO198SQ,England,[email protected],or faxedto(+44)1243770620. Designationsusedbycompaniestodistinguishtheirproductsareoftenclaimedastrademarks.Allbrandnamesand productnamesusedinthisbookaretradenames,servicemarks,trademarksorregisteredtrademarksoftheir respectiveowners.ThePublisherisnotassociatedwithanyproductorvendormentionedinthisbook. Thispublicationisdesignedtoprovideaccurateandauthoritativeinformationinregardtothesubjectmatter covered.ItissoldontheunderstandingthatthePublisherisnotengagedinrenderingprofessionalservices.If professionaladviceorotherexpertassistanceisrequired,theservicesofacompetentprofessionalshouldbesought. OtherWileyEditorialOffices JohnWiley&SonsInc.,111RiverStreet,Hoboken,NJ07030,USA Jossey-Bass,989MarketStreet,SanFrancisco,CA94103-1741,USA Wiley-VCHVerlagGmbH,Boschstr.12,D-69469Weinheim,Germany JohnWiley&SonsAustraliaLtd,42McDougallStreet,Milton,Queensland4064,Australia JohnWiley&Sons(Asia)PteLtd,2ClementiLoop#02-01,JinXingDistripark,Singapore129809 JohnWiley&SonsCanadaLtd,22WorcesterRoad,Etobicoke,Ontario,CanadaM9W1L1 Wileyalsopublishesitsbooksinavarietyofelectronicformats.Somecontentthatappears inprintmaynotbeavailableinelectronicbooks. BritishLibraryCataloguinginPublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN-13978-0-470-01741-8(HB) ISBN-100-470-01741-4(HB) Typesetin10/12ptTimesbyLaserwordsPrivateLimited,Chennai,India. PrintedandboundinGreatBritainbyAntonyRoweLtd,Chippenham,Wiltshire. Thisbookisprintedonacid-freepaperresponsiblymanufacturedfromsustainableforestry inwhichatleasttwotreesareplantedforeachoneusedforpaperproduction. Tomy wife Angela for herlove, patience anddevotion (cid:1)τηγυναι´κα µoυ Aγγελικη´ για τηναγα´πη, υπoµoνη´ και αϕoσι´ωση´ της Contents Preface xi 1 Antennas and Antenna Arrays 1 1.1 Introduction 1 1.2 Antenna Array Factor 1 1.3 Elements and Array Types 3 1.4 Antenna Parameters and Indices 4 1.4.1 Radiated Power 4 1.4.2 Radiation Intensity 4 1.4.3 Directivity 5 1.4.4 AntennaEfficiency 5 1.4.5 Gain 6 1.4.6 AntennaPatterns 6 1.4.7 AntennaEffective Aperture 12 1.4.8 Beam Efficiency 12 1.4.9 Signal-to-NoiseRatio 13 1.4.10 Quality Factor 13 1.4.11 SensitivityFactor 14 1.5 Antenna Input Impedance 15 1.6 Antenna Arrays Classification 15 1.7 Array Factor Classification 15 References 16 2 Arrays: Linear, Planar, 3D and Conformal 19 2.1 Introduction 19 2.2 Linear Arrays 19 2.3 Uniform Linear Arrays 21 2.4 Chebyshev Linear Arrays 23 2.4.1 Chebyshev Polynomials 23 2.4.2 Dolph-ChebyshevArrays 23 2.4.3 Riblet Arrays 26 2.4.4 OtherChebyshev Arrays 27 2.5 Linear Arrays from Sampling or Root Matching of Line Sources 28 2.5.1 Simple Linear Distributions 28 2.5.2 TaylorDistribution(Chebyshev Error) 31 2.5.3 TaylorOne-parameter Distribution 34
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