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arXiv · 0909.4968

Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator

Rohan D. Kekatpure·Aaron C. Hryciw·Edward S. Barnard·Mark L. Brongersma
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Abstract

We present a robust iterative technique for solving complex transcendental dispersion equations routinely encountered in integrated optics. Our method especially befits the multilayer dielectric and plasmonic waveguides forming the basis structures for a host of contemporary nanophotonic devices. The solution algorithm ports seamlessly from the real to the complex domain--i.e., no extra complexity results when dealing with leaky structures or those with material/metal loss. Unlike several existing numerical approaches, our algorithm exhibits markedly-reduced sensitivity to the initial guess and allows for straightforward implementation on a pocket calculator.

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Rohan D. Kekatpure, Aaron C. Hryciw, Edward S. Barnard, Mark L. Brongersma. 2009-09-28. Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator. https://doi.org/10.1364/oe.17.024112

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