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applicationoftheimpedanceformalismtodiffractiongratingswithmultiplecoatinglayersApplicationoftheimpedanceformalismtodiffractiongratingswithmultiplecoatinglayersAnandaK.CousinsandS.C.GottschalkThestandardmethodofmatchingboundaryconditionsattheinterfacesofamultilayerplanedielectricstackisolateddielectricstackwithanincidentpropagatingbeamthereisnoneedtocalculatetheevanescentorders;however,whenadiffractiongratingisburiedunderthestackthereismixingoforders,anditmaybeimportanttocalculatetheevanescentaswellasthepropagatingorders.Itisshownthattheimpedanceformalismremovesthenumericalinstabilitycompletely.Thismethodmaybecoupledtoeitherboundaryintegralordifferentialequationmethodsforthegratingtoprovidethecompletesolutionforthegrating-stacksystem.isshowntoben……