Quartic form of the slowly decaying imaginary distance beam propagation method

    Authors

    H. Shu

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Appl. Optics

    Keywords

    OPTICAL WAVE-GUIDES; FINITE-DIFFERENCE METHOD; FULL-VECTORIAL; ELEMENT; SCHEME; MODES; COMPUTATION; TIME; OPTIMIZATION; FIBERS; STATES; Optics

    Abstract

    The governing equation of the slowly decaying imaginary distance beam propagation method (SD-ID-BPM) is further modified, for calculating the eigenmodes in optical fibers and waveguides. Its convergence is analyzed in detail and compared to the earlier version of SD-ID-BPM and other methods. It is demonstrated that the method described here can converge to the same desired accuracy within fewer propagation steps than the earlier version of SD-ID-BPM and other methods. Since the governing equation of the SD-ID-BPM is a partial differential equation with higher order derivatives, it might be interesting if the discretization in the transverse x-y plane is performed by applying the numerical techniques for partial differential equations with higher order derivatives. (C) 2009 Optical Society of America

    Journal Title

    Applied Optics

    Volume

    48

    Issue/Number

    21

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    4056

    Last Page

    4061

    WOS Identifier

    WOS:000268949800001

    ISSN

    1559-128X

    Share

    COinS