Transformation of general astigmatic Gaussian beams in a four-dimensional phase space-中国期刊网

摘要 Aphasespacemodeloftwo-dimensional(2D)Gaussianbeampropagationisgeneralizedforthree-dimensional(3D)generalastigmaticGaussianbeampassingthroughfirst-orderopticalsystem.ThegeneralastigmaticGaussianbeamisrepresentedbyafour-dimensional(4D)phasesuper-ellipsoidthatdefinedbyanassociated4×4realmatrix,thenthetransformationformulaofthephasesuper-ellipsoidofthebeamthroughfirst-orderopticalsystemisderived.Inparticular,inthephasespaceframework,thebeampropagationfactorM2valueisprovedtobearatioofphaseareaofrealbeamtoidealbeam,andanovelapproachforaqualitativeexaminationofthepropertiesoffractionalFouriertransform(FRT)forthebeamisalsoprovided.

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Transformation of general astigmatic Gaussian beams in a four-dimensional phase space

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Transformation of general astigmatic Gaussian beams in a four-dimensional phase space

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