A wave-kinetic numerical method for the propagation of optical waves
| dc.contributor.author | Pack, Jeong-Ki | en |
| dc.contributor.department | Electrical Engineering | en |
| dc.date.accessioned | 2021-08-02T18:38:59Z | en |
| dc.date.available | 2021-08-02T18:38:59Z | en |
| dc.date.issued | 1985 | en |
| dc.description.abstract | A 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.degree | M.S. | en |
| dc.format.extent | x, 149 leaves | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | http://hdl.handle.net/10919/104527 | en |
| dc.language.iso | en | en |
| dc.publisher | Virginia Polytechnic Institute and State University | en |
| dc.relation.isformatof | OCLC# 13854300 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.lcc | LD5655.V855 1985.P324 | en |
| dc.subject.lcsh | Wave equation -- Numerical solutions | en |
| dc.subject.lcsh | Wave mechanics | en |
| dc.subject.lcsh | Wave theory of light | en |
| dc.subject.lcsh | Wave-motion, Theory of | en |
| dc.title | A wave-kinetic numerical method for the propagation of optical waves | en |
| dc.type | Thesis | en |
| dc.type.dcmitype | Text | en |
| thesis.degree.discipline | Electrical Engineering | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | M.S. | en |
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