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Leaky modes are important when optical waveguides fail to confine light completely. Computing waveguide modes to high accuracy is challenging if the waveguide has high index-contrast and sharp corners. The propagation constant of a leaky mode is complex, its imaginary part is an important physical quantity (the decay rate along the waveguide axis). To find complex propagation constants with a small...
A new integral equation mode solver is developed for dielectric waveguides with sharp corners and high index-contrast. The method makes use of a Nyström method for discretizing integral operators with logarithmic singularities, a graded mesh technique for handling corners, and computes boundary operators for domains of constant refractive indices. The method is illustrated by a number of numerical...
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