Analytic theory of curvature effects for wave problems with general boundary conditions

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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A formalism based on a combination of differential geometry and perturbation theory is used to obtain analytic expressions for confined eigenmode changes due to general curvature effects. In cases of circular-shaped and helix-shaped structures, where alternative analytic solutions can be found, the perturbative solution is shown to yield the same result. The present technique allows the generalization of earlier results to arbitrary boundary conditions. The power of the method is illustrated using examples based on Maxwell’s and Schrödinger’s equations for applications in photonics and nanoelectronics.
Original languageEnglish
JournalPhysical Review A (Atomic, Molecular and Optical Physics)
Publication date2010
Volume81
Issue6
Pages060102
ISSN1050-2947
DOIs
StatePublished

Bibliographical note

Copyright 2010 American Physical Society

CitationsWeb of Science® Times Cited: 4
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