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

Morten Willatzen, Jens Gravesen, L. C. Lew Yan Voon

    Research output: Contribution to journalJournal articleResearchpeer-review

    234 Downloads (Pure)

    Abstract

    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
    Volume81
    Issue number6
    Pages (from-to)060102
    ISSN2469-9926
    DOIs
    Publication statusPublished - 2010

    Bibliographical note

    Copyright 2010 American Physical Society

    Cite this