A NUMERICAL STUDY OF THE GAUSSIAN BEAM METHODS FOR SCHRODINGER-POISSON EQUATIONS-中国期刊网

摘要 Asanimportantmodelinquantumsemiconductordevices,theSchrodinger-Poissonequationshavegeneratedwidespreadinterestsinbothanalysisandnumericalsimulationsinrecentyears.Inthispaper,wepresentGaussianbeammethodsforthenumericalsimulationoftheone-dimensionalSchrodinger-Poissonequations.TheGaussianbeammethodsforhighfrequencywavesoutperformthegeometricalopticsmethodinthattheformerareaccurateevenaroundcaustics.ThepurposesofthepaperarefirsttodeveloptheGaussianbeammethods,basedonourpreviousmethodsforthelinearSchrodingerequation,fortheSchrodinger-Poissonequations,andthenchecktheirvalidityforthisweakly-nonlinearsystem.

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A NUMERICAL STUDY OF THE GAUSSIAN BEAM METHODS FOR SCHRODINGER-POISSON EQUATIONS

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A NUMERICAL STUDY OF THE GAUSSIAN BEAM METHODS FOR SCHRODINGER-POISSON EQUATIONS

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