Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation |
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Authors: | Xiao Jin-Biao Zhang Ming-De and Sun Xiao-Han |
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Institution: | Laboratory of Photonics and Optical Communications, Electronic Engineering Department,Southeast University, Nanjing 210096, China |
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Abstract: | Based on the polynomial interpolation, a new finite difference (FD)
method in solving the full-vectorial guided-modes for step-index optical
waveguides is
proposed. The discontinuities of the normal components of the electric
field across abrupt dielectric interfaces are considered in the absence of
the limitations of scalar and semivectorial approximation, and the present
FD scheme can be applied to both uniform and non-uniform mesh grids. The
modal propagation constants and field distributions for buried rectangular
waveguides and optical rib waveguides are presented. The hybrid nature of
the vectorial modes is demonstrated and the singular behaviours of the minor
field components in the corners are observed. Moreover, solutions are in good
agreement with those published early, which tests the validity of the
present approach. |
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Keywords: | polynomial interpolation finite difference full vectorial mode solver optical waveguides photonic integrated circuits |
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