3 SCATTERING AND EMISSION BY A PERIODIC ROUGH SURFACE.pdf

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1、ScatteringofElectromagneticWaves:NumericalSimulations.LeungTsang,JinAuKong,Kung-HauDing,ChiOnAo.Copyright2001JohnWiley&Sons,Inc.ISBNs:0-471-38800-9(Hardback);0-471-22430-8(Electronic)Chapter3SCATTERINGANDEMISSIONBYAPERIODICROUGHSURFACE1DirichletBoundaryConditi

2、ons6211.SurfaceIntegralEquation6212.FloquetsTheoremandBlochCondition6313.2-DGreensFunctionin1-DLattice6414.BistaticScatteringCoefficients672DielectricPeriodicSurface:T-MatrixMethod6821.FormulationinLongitudinalFieldComponents6922.SurfaceFieldIntegralEquationsan

3、dCoupledMatrixEquations7423.EmissivityandComparisonwithExperiments813ScatteringofWavesObliquelyIncidentonPeriodicRoughSurfaces:IntegralEquationApproach8531.Formulation8532.PolarimetricBrightnessTemperatures894EwaldsMethod9341.Preliminaries9342.3-DGreensFunction

4、in3-DLattices9843.3-DGreensFunctionin2-DLattices10244.NumericalResults105ReferencesandAdditionalReadings110-61-623SCATTERINGANDEMLSSIONBYAPERIODICROUGHSURFACEThescatteringofwavesfromaperiodicsurfacehasbeenstudiedexten-sively.Twomethodsofsolutionwillbeusedinthis

5、chapter:(1)themethodofmomentsbasedonperiodicGreensfunctionand(2)theT-matrixmethod.InSection1,theproblemofaone-dimensionalperiodicroughsurfacewithDirichletboundaryconditionisillustrated.InSection2,weconsiderthecaseofvectorelectromagneticwaveobliquelyincidentonao

6、ne-dimensionalperiodicroughsurface.Theincidentdirectionisalsoatanonzeroazimuthalanglewithrespecttotheperiodicdirection.ThisproblemhasapplicationsinpolarimetricpassiveremotesensingofroughsurfacesbecausethethirdandfourthStokesparametersarenonzero.Thecomponentsoft

7、heelectricandmagneticfieldsalongtherowdirectionareusedasunknownscalarfunc-tionstoreducethevectornatureoftheproblemtoascalarone.Then,theextendedboundarycondition(EBC)approachwithFourierseriesexpansionforthesurfacefieldsisusedtoobtainthematrixequationsgoverningth

8、escatteredfieldamplitudes.InSection3,westudythevectorelectromagneticcaseusingintegralequationmethod.InSections1and3,theperiodicsurfaceisone-dimensional,andtheGreensfunctioni