{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/82642"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/82642","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Numerical simulation of optical wave propagation through random media","abstract":"The propagation of optical plane waves through a one-dimensional Gaussian phase screen and a two-dimensional Gaussian extended medium are simulated numerically, and wave statistics are calculated from the data obtained by the numerical simulation. For instantaneous realization of a random medium, a simplified version of the random-motion model [77] is used, and for wave-propagation calculation the wave-kinetic numerical method and/or the angular-spectral representation of the Huygens-Fresnel diffraction formula are used. For the wave-kinetic numerical method, several different levels of approximations are introduced, and the region of validity of those approximations is studied by single-realization calculations. Simulation results from the wave-kinetic numerical method are compared, either with those from the existing analytical expressions for the phase-screen problem, or with those from the Huygens-Fresnel diffraction formula for the extended-medium problem. Excellent agreement has been observed. Extension to two-dimensional media with the power-law spectrum or three-dimensional problems is straight-forward. We may also deal with space-time correlations using, for example, Taylor's frozen-in hypothesis.","abstract_html":"The propagation of optical plane waves through a one-dimensional Gaussian phase screen and a two-dimensional Gaussian extended medium are simulated numerically, and wave statistics are calculated from the data obtained by the numerical simulation. For instantaneous realization of a random medium, a simplified version of the random-motion model [77] is used, and for wave-propagation calculation the wave-kinetic numerical method and/or the angular-spectral representation of the Huygens-Fresnel diffraction formula are used. For the wave-kinetic numerical method, several different levels of approximations are introduced, and the region of validity of those approximations is studied by single-realization calculations. Simulation results from the wave-kinetic numerical method are compared, either with those from the existing analytical expressions for the phase-screen problem, or with those from the Huygens-Fresnel diffraction formula for the extended-medium problem. Excellent agreement has been observed. Extension to two-dimensional media with the power-law spectrum or three-dimensional problems is straight-forward. We may also deal with space-time correlations using, for example, Taylor's frozen-in hypothesis.","abstract_has_math":false,"creators":["Pack, Jeong-Ki"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Electrical Engineering","degree_department":"Electrical Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":["de Wolf, David A."],"committee_members":["Besieris, Ioannis M.","Brown, Gary","Poon, Ting-Chung","Kohler, Werner"],"year":1988,"date_issued":"1988","date_published":"1988","updated_at":"2026-07-22T22:19:31Z","subjects":[],"languages":["en_US"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/82642","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["de Wolf, David A."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Besieris, Ioannis M.","Brown, Gary","Poon, Ting-Chung","Kohler, Werner"]},{"key":"dc:contributor.department","label":"Department","values":["Electrical Engineering"]},{"key":"dc:creator","label":"Author","values":["Pack, Jeong-Ki"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-03-26T19:29:17Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-03-26T19:29:17Z"]},{"key":"dc:date.issued","label":"Date","values":["1988"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. 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For instantaneous realization of a random medium, a simplified version of the random-motion model [77] is used, and for wave-propagation calculation the wave-kinetic numerical method and/or the angular-spectral representation of the Huygens-Fresnel diffraction formula are used. For the wave-kinetic numerical method, several different levels of approximations are introduced, and the region of validity of those approximations is studied by single-realization calculations. Simulation results from the wave-kinetic numerical method are compared, either with those from the existing analytical expressions for the phase-screen problem, or with those from the Huygens-Fresnel diffraction formula for the extended-medium problem. Excellent agreement has been observed. Extension to two-dimensional media with the power-law spectrum or three-dimensional problems is straight-forward. We may also deal with space-time correlations using, for example, Taylor's frozen-in hypothesis."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Numerical simulation of optical wave propagation through random media"]}]}],"canonical_facts":{"dc:contributor.committeechair":["de Wolf, David A."],"dc:contributor.committeemember":["Besieris, Ioannis M.","Brown, Gary","Poon, Ting-Chung","Kohler, Werner"],"dc:contributor.department":["Electrical Engineering"],"dc:creator":["Pack, Jeong-Ki"],"dc:date.accessioned":["2018-03-26T19:29:17Z"],"dc:date.available":["2018-03-26T19:29:17Z"],"dc:date.issued":["1988"],"dc:description.abstract":["The propagation of optical plane waves through a one-dimensional Gaussian phase screen and a two-dimensional Gaussian extended medium are simulated numerically, and wave statistics are calculated from the data obtained by the numerical simulation. For instantaneous realization of a random medium, a simplified version of the random-motion model [77] is used, and for wave-propagation calculation the wave-kinetic numerical method and/or the angular-spectral representation of the Huygens-Fresnel diffraction formula are used. For the wave-kinetic numerical method, several different levels of approximations are introduced, and the region of validity of those approximations is studied by single-realization calculations. Simulation results from the wave-kinetic numerical method are compared, either with those from the existing analytical expressions for the phase-screen problem, or with those from the Huygens-Fresnel diffraction formula for the extended-medium problem. Excellent agreement has been observed. Extension to two-dimensional media with the power-law spectrum or three-dimensional problems is straight-forward. 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