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Analysis of multiple-rib waveguide structures by the discrete-spectral-index method

Analysis of multiple-rib waveguide structures by the discrete-spectral-index method

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  • Author(s): W.-C. Ng 1  and  M.S. Stern 2
    • View affiliations
    • Affiliations: 1: Center for Computational Electromagnetics, University of Illinois at Urbana-Champaign, Urbana, USA
      2: Department of Applied Mathematics, University of Sheffield, Sheffield , United Kingdom
  • Source: Volume 145, Issue 6, December 1998, p. 365 – 371
    DOI:  10.1049/ip-opt:19982483 , Print ISSN 1350-2433, Online ISSN 1359-7078
© IEE
Published

The discrete-spectral-index (DSI) method is extended to analyse multiple-rib waveguide structures which contain Q (≥ 2) ribs. By constructing general Fourier series for the E-field variation parallel to the semiconductor layers within the waveguide, a simple transcendental equation is derived for the propagation constants of the structure. The modal indices calculated via DSI for symmetric 4-rib and 5-rib waveguide arrays are within 0.001% of those computed by the semivectorial finite difference method; thus the validity of the formulation is established. Together with the ability of the DSI method to calculate overlap integrals directly, the accurate analysis and design of multiple-rib waveguide couplers have thereby been simplified and made more efficient.

Inspec keywords: optical waveguide theory; optical couplers; rib waveguides; optical arrays; Fourier series

Other keywords: propagation constant; electric field; multiple rib waveguide; discrete spectral index method; overlap integral; semivectorial finite difference method; semiconductor layer; waveguide coupler; waveguide array; transcendental equation; Fourier series

Subjects: Optical waveguides and couplers; Optical waveguides

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