A wave-kinetic numerical method for the propagation of optical waves

dc.contributor.authorPack, Jeong-Kien
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2021-08-02T18:38:59Zen
dc.date.available2021-08-02T18:38:59Zen
dc.date.issued1985en
dc.description.abstractA new wave-kinetic numerical method for the propagation of optical waves in weakly inhomogeneous media is discussed, and it is applied to several canonical problems: the propagation of beam and plane waves through a weak 3-D ( or 2-D ) Gaussian eddy. The numerical results are also compared to those from a Monte-Carlo simulation and the first Born approximation. Within the validity of the Liouville approximation, the Wigner distribution function ( WDF ) is conserved along the conventional ray trajectories, and, thus, by discretizing the input WDF with Gaussian beamlets, we can represent the output WDF as a sum of Gaussians, from which irradiance can be obtained by analytical integration of each Gaussian with respect to wavevector. Although each Gaussian beamlet propagates along a geometrical optics ray trajectory, it can correctly describe diffraction effects, and the propagation of optical waves through caustics or ray crossings. The numerical results agree well with either the Monte-Carlo method or the first Born approximation in regions where one or both of these are expected to be valid.en
dc.description.degreeM.S.en
dc.format.extentx, 149 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/104527en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13854300en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1985.P324en
dc.subject.lcshWave equation -- Numerical solutionsen
dc.subject.lcshWave mechanicsen
dc.subject.lcshWave theory of lighten
dc.subject.lcshWave-motion, Theory ofen
dc.titleA wave-kinetic numerical method for the propagation of optical wavesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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