Exact solution for four-order acousto-optic Bragg diffraction with arbitrary initial conditions

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dc.contributorVirginia Techen
dc.contributor.authorPieper, Ronald J.en
dc.contributor.authorKoslover, Deborahen
dc.contributor.authorPoon, Ting-Chungen
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-02-06en
dc.date.accessioned2014-03-14T15:04:26Zen
dc.date.available2014-03-14T15:04:26Zen
dc.date.issued2009-03-01en
dc.description.abstractAn exact solution to the four-order acousto-optic (AO) Bragg diffraction problem with arbitrary initial conditions compatible with exact Bragg angle incident light is developed. The solution, obtained by solving a 4th-order differential equation, is formalized into a transition matrix operator predicting diffracted light orders at the exit of the AO cell in terms of the same diffracted light orders at the entrance. It is shown that the transition matrix is unitary and that this unitary matrix condition is sufficient to guarantee energy conservation. A comparison of analytical solutions with numerical predictions validates the formalism. Although not directly related to the approach used to obtain the solution, it was discovered that all four generated eigenvalues from the four-order AO differential matrix operator are expressed simply in terms of Euclid's Divine Proportion. (C) 2009 Optical Society of Americaen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRon Pieper, Deborah Koslover, and Ting-Chung Poon, "Exact solution for four-order acousto-optic Bragg diffraction with arbitrary initial conditions," Appl. Opt. 48, C141-C150 (2009); doi: 10.1364/AO.48.00C141en
dc.identifier.doihttps://doi.org/10.1364/AO.48.00C141en
dc.identifier.issn1559-128Xen
dc.identifier.urihttp://hdl.handle.net/10919/25903en
dc.identifier.urlhttp://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-7-C141en
dc.language.isoenen
dc.publisherOptical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectLighten
dc.subjectScatteringen
dc.titleExact solution for four-order acousto-optic Bragg diffraction with arbitrary initial conditionsen
dc.title.serialApplied Opticsen
dc.typeArticle - Refereeden
dc.typeConference proceedingen
dc.type.dcmitypeTexten

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