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Mathematical Modeling of Irregular Integrated Optical Waveguides

  • Edik A. Ayryan
  • Alexander A. Egorov
  • Leonid A. Sevastyanov
  • Konstantin P. Lovetskiy
  • Anton L. Sevastyanov
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)

Abstract

The paper presents the formulation of the dispersion relations for regular planar waveguides and smoothly irregular integrated optical waveguides in forms of elementary continuous functions. The stable algorithm for computing the roots of the dispersion relations for regular and irregular waveguides, which is applicable in the case of real and complex coefficients of the phase retardation of waveguide modes, is developed. The theoretical and numerical method for studying the characteristics of inhomogeneous waveguide modes in the overcritical regimes is elaborated.

In contrast to the zero approximation of the adiabatic modes method, and moreover to the method of comparison waveguides, the fields of irregular waveguide modes of an integrated optical waveguide in the first approximation are described by a pair of equations of coupled oscillators allowing resonance solutions.

Keywords

irregular integrated optical waveguide method of adiabatic modes complex-valued dispersion relatieus stable numerical algorithm 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Edik A. Ayryan
    • 1
  • Alexander A. Egorov
    • 2
  • Leonid A. Sevastyanov
    • 1
    • 3
  • Konstantin P. Lovetskiy
    • 3
  • Anton L. Sevastyanov
    • 3
  1. 1.Joint Institute for Nuclear ResearchRussia
  2. 2.A.M. Prokhorov General Physics InstituteRussia
  3. 3.Peoples’ Friendship University of RussiaRussia

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