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

  • 标签: POISSON方程 高斯光束 薛定谔 数值方法 弱非线性系统 数值模拟