A Boundary Integral Equation Method for Photonic Crystal Fibers

Authors:
Min Hyung Cho;Wei Cai;Tsing-Hua Her
Affiliations:
Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, USA 28223;Aff1 Aff2;Aff2 Aff3
Venue:
Journal of Scientific Computing
Year:
2006

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Abstract

A boundary integral equation for the eigenmode of photonic crystal fibers is formulated and numerically solved using the Nyström method. The real and imaginary parts of the propagation constant, which are related to the dispersion and the confinement loss of fibers, are obtained using a secant method. This formulation is very flexible to handle the fiber geometry, and therefore can be applied to photonic crystal fibers with novel refractive index profile and hole geometry.