Splitting methods and invariant imbedding for time‐independent wave propagation in focusing media and wave guides

dc.contributor.author Evans, James
dc.contributor.author Evans, James
dc.contributor.department Ames Laboratory
dc.contributor.department Physics and Astronomy
dc.contributor.department Mathematics
dc.date 2018-02-18T21:37:55.000
dc.date.accessioned 2020-06-30T06:19:31Z
dc.date.available 2020-06-30T06:19:31Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 1988
dc.date.issued 1988
dc.description.abstract <p>For time‐independent wave propagation in focusing media or wave guides, backscattering and coupling between propagation modes are caused by deterministic or random variations of the refractive index in the distinguished (<em>x</em>) direction of propagation. Various splittings of the wave field into forward and backward traveling components, which lead to coupled equations involving abstract operator coefficients, are presented. Choosing a natural explicit representation for these operators immediately yields a coupled mode form of these equations. The splitting procedure also leads naturally to abstract transmission and reflection operators for slabs of finite thickness (<em>a</em>≤<em>x</em>≤<em>b</em>), and abstract invariant imbedding equations satisfied by these. The coupled mode form of these equations, together with such features as reciprocity (associated with an underlying symplectic structure) are also discussed. The example of a square law medium is used to illustrate some of these concepts.</p>
dc.description.comments <p>This article is published as Evans, J. W. "Splitting methods and invariant imbedding for time‐independent wave propagation in focusing media and wave guides." <em>Journal of mathematical physics</em> 29, no. 1 (1988): 97-102, doi:<a href="http://dx.doi.org/10.1063/1.528138" target="_blank">10.1063/1.528138</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/physastro_pubs/415/
dc.identifier.articleid 1424
dc.identifier.contextkey 10634991
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath physastro_pubs/415
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/57183
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/physastro_pubs/415/1988_Evans_SplittingMethods.pdf|||Sat Jan 15 00:11:02 UTC 2022
dc.source.uri 10.1063/1.528138
dc.subject.disciplines Mathematics
dc.subject.disciplines Physics
dc.subject.keywords Operator equations
dc.subject.keywords Waveguides
dc.subject.keywords Wave propagation
dc.subject.keywords Refractive index
dc.subject.keywords Backscattering
dc.title Splitting methods and invariant imbedding for time‐independent wave propagation in focusing media and wave guides
dc.type article
dc.type.genre article
dspace.entity.type Publication
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