Implementation of Bérenger layers as boundary conditions for the beam propagation method: Applications to integrated waveguides

D. Jiménez, C. Ramírez, F. Pérez-Murano, A. Guzmân

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    6 Citations (Scopus)

    Abstract

    In order to numerically solve the wave equation in integrated optics devices, the implementation of appropriate boundary conditions should be a key issue. In this work, we formulate the perfectly matched layer boundary condition, introduced by Bérenger [J. Comput. Phys. 114 (1994) 185], for operation in the scalar bidimensional finite difference beam propagation method (FD-BPM). With this boundary condition, a high absorption of outgoing waves along the propagation direction is achieved. To test the operation of Bérenger layers, two numerical experiments have been performed: the propagation of a Gaussian beam in vacuum and the propagation of a guided mode in a slab waveguide. © 1999 Elsevier Science B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)43-48
    JournalOptics Communications
    Volume159
    Issue number1-3
    DOIs
    Publication statusPublished - 1 Jan 1999

    Keywords

    • Boundary value problems
    • Integrated optics
    • Optical propagation
    • Optical waveguide theory

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