摘要
Wedevelopanumericalschemetoconstructthescattering(S)matrixforopticalmicrocavities,includingthespecialcaseswithparity-timeandothernon-Hermitiansymmetries.Thisschemeincorporatestheexplicitformofanonlocalboundarycondition,withtheincidentlightrepresentedbyaninhomogeneousterm.ThisapproachresolvestheartifactofadiscontinuousnormalderivativetypicallyfoundintheR-matrixmethod.Inaddition,weshowthat,byexcludingtheaforementionedinhomogeneousterm,thenon-HermitianHamiltonianinourapproachalsodeterminesthePeriels–Kapurstates,anditconstitutesanalternativeapproachtoderivethestandardR-matrixresultinthisbasis.Therefore,ourschemeprovidesaconvenientframeworktoexplorethebenefitsofbothapproaches.Weillustratethisboundaryvalueproblemusing1Dand2DscalarHelmholtzequations.TheeigenvaluesandpolesoftheSmatrixcalculatedusingourapproachshowgoodagreementwithresultsobtainedbyothermeans.
出版日期
2017年06月16日（中国期刊网平台首次上网日期，不代表论文的发表时间）
