1 MONTE CARLO SIMULATIONS OF LAYERED MEDIA.pdf

《1 MONTE CARLO SIMULATIONS OF LAYERED MEDIA.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、ScatteringofElectromagneticWaves:NumericalSimulations.LeungTsang,JinAuKong,Kung-HauDing,ChiOnAo.Copyright2001JohnWiley&Sons,Inc.ISBNs:0-471-38800-9(Hardback);0-471-22430-8(Electronic)Chapter1MONTECARLOSIMULATIONSOFLAYEREDMEDIA1One-DimensionalLayeredMediawithPermittivityFluctuations21.1Co

2、ntinuousRandomMedium21.2GenerationofOne-DimensionalContinuousGaussianRandomMedium41.3NumericalResultsandApplicationstoAntarctica52RandomDiscreteLayeringandApplications8ReferencesandAdditionalReadings1221MONTECARLOSIMULATIOlVSOFLAYEREDMEDIA1One-DimensionalLayeredMediawithPermittivityFluc-t

3、uationsWestudyMonteCarlosimulationsofsolutionsoftheMaxwellequationsinVolumeII.Thesimplestcaseofrandommediumisonewherethepermit-tivityisarandomfunctionofpositionsinaone-dimensionalproblem.InFig.1.1.1,weshowastratifiedmediumofmanylayers.Thepermittivityfluctuatesfromlayertolayer.Thebasictheo

4、ryofwavesinlayeredmediumwascoveredinChapter5ofVolurneI.Nevertheless,eveninthissimplecase,therecanbetwodistinctkindsoflayering.Thefirstkindisacontinuousrandommediuminwhichtherandommediumpermittivity+z)isarandomprocessthatisacontinuousfunctionofz.Thesecondkindisdiscretelayer-inginwhichthere

5、areabruptchangesofpermittivityfromlayertolayer.Tofurtherillustratethedifference,weapplybothmodelstothermalemissionofalayeredmediumandmakeacomparisonwithobservedbrightnesstempera-turesofAntarctica.Wefoundthatinordertomatchtheobservedbrightnesstemperatures,thetwomodelshavetousedrasticallydi

6、fferentphysicalpa-rameters.Theresultsillustratethedifferencebetweenacontinuousrandommediumandadiscreterandommedium.xtEN-2EN-1Figure1.1.1Stratifiedmediumwithpermittivityfluctuationsfromlayertolayer.1.1ContinuousRandomMediumAcommonapproachistoassumeaGaussianrandomprocessofthepermit-tivityfl

7、uctuations.Figure1.1.2illustratesarealizationofGaussianrandomprocessasafunctionofposition.Thedensityofsnowisusedforillustration.51.1ContinuousRandomMedium3IIII0.5m^i:0.4blY24Fiii.-0.3IIII.0.250100150200250Depth(cm)Figure1.1.2AsinglerealizationofacontinuousGaussianra