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A Full-Vectorial Pseudospectral Modal Analysis of Dielectric Optical Waveguides With Stepped Refractive Index Profiles
Resource
IEEE Journal of Selected Topics in Quantum Electronics 11 (2): 457-465
Resource
IEEE Journal of Selected Topics in Quantum Electronics
Journal Volume
11
Journal Issue
2
Pages
457-465
Issue Date
2005-04
Author(s)
Huang, Chia-Chien
Huang, Chia-Chih
Yang, Jaw-Yen
Abstract
A new full-vectorial mode solver based on the pseudospectral
method for computing dielectric optical waveguides is
proposed. The subdomains with homogeneous refractive indexes
are connected with imposing the continuities of and at the
dielectric interfaces, and thus the coupled equations in terms of the
transverse magnetic field components and are formulated.
The optical fields are expanded by a suitable set of orthogonal basis
functions, such as Laguerre–Gauss (LG) functions or Chebyshev
polynomials. Furthermore, the a priori determination of the scaling
factor in LG functions is introduced by means of the effective index
method in order to considerably reduce the extra computational
time by lengthy trial and errors used by others. Results calculated
by the proposed full-vectorial scheme for dispersion characteristics
of rectangular channel and rib waveguides having piecewise
uniform refractive indexes, even though a coarse mesh used, show
good agreement with previously published data based on other rigorous
numerical methods.
method for computing dielectric optical waveguides is
proposed. The subdomains with homogeneous refractive indexes
are connected with imposing the continuities of and at the
dielectric interfaces, and thus the coupled equations in terms of the
transverse magnetic field components and are formulated.
The optical fields are expanded by a suitable set of orthogonal basis
functions, such as Laguerre–Gauss (LG) functions or Chebyshev
polynomials. Furthermore, the a priori determination of the scaling
factor in LG functions is introduced by means of the effective index
method in order to considerably reduce the extra computational
time by lengthy trial and errors used by others. Results calculated
by the proposed full-vectorial scheme for dispersion characteristics
of rectangular channel and rib waveguides having piecewise
uniform refractive indexes, even though a coarse mesh used, show
good agreement with previously published data based on other rigorous
numerical methods.
Author Keyword(s)
Dielectric optical waveguide
full-vectorial mode
solver
solver
multidomain
orthogonal basis function
pseudospectral
method
method
rectangular channel waveguide
rib waveguide
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