State space formalism of Feynman diagram theory for acousto-optic interactions:Ⅱ. multifrequency case

(整期优先)网络出版时间:1993-04-14
/ 1
AFeynmandiagramtheoryforacousto-optic(AO)interactionsisestablished,whichprovidesageneralmethodtocalculatethescatteringamplitudesandintensitiesforbothsingle-frequencyandmultifrequcncyAOinteractions.ThemethodisbasedoncountingthenumberofallowableFeynmandiagrams.Thefollowingimportantassertionhasbeenprovedrigorouslyinthispaper.TheratiosofthenumbersofFeynmandiagramsallowableinvariousBraggdiffractions(isotropie,nondegeneratcbirefringent,anddegeneratebirefringent)tothatinRaman-Nathdiffractionareindependentofthenumberofdifferentacousticfrequencies,beingafunctiononlyoftheorderoftheFeynmandiagramandthediffractionorderofthefinalstate.Generalexpressionsfortheseratiosarcobtained.Basedonthis,completeperturbationsolutionsforthescatteringamplitudesandintensitiesareobtainedforanykindofAOinteractions,anynumberofacousticfrcquencies,andanyfinalstate.Thistheorygivesallresultsobtain