Numerical-Solution Method Of Nonlinear Guided Modes With A Finite-Difference Complex Axis Beam-Propagation Method

    Authors

    F. Wijnands; Hjwm Hoekstra; G. J. M. Krijnen;R. M. Deridder

    Comments

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

    Abbreviated Journal Title

    IEEE J. Quantum Electron.

    Keywords

    OPTICAL WAVE-GUIDES; MATRIX APPROACH; THIN-FILMS; Engineering, Electrical & Electronic; Optics; Physics, Applied

    Abstract

    A method to construct modal fields for an arbitrary one- or two-dimensional intensity dependent refractive index structure is described, An arbitrary starting field is propagated along an imaginary axis using the Finite Difference Beam Propagation Method (FDBPM) based upon the Slowly Varying Envelope Approximation (SVEA). First the modes are found for the linear part of the refractive index structure, By suitably choosing the complex value of the propagation step, one mode is maximally increased in amplitude, After the nonlinearity has been put on, two methods are applied to find the modes for the nonlinear structure. One method is the same as the method used for the linear part, in the other method the propagation step is left unchanged, The applicability of the method is discussed and illustrated by a calculation on a waveguide with one-dimensional cross section having Kerr-type nonlinearity.

    Journal Title

    Ieee Journal of Quantum Electronics

    Volume

    31

    Issue/Number

    5

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    782

    Last Page

    790

    WOS Identifier

    WOS:A1995QT61400003

    ISSN

    0018-9197

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