Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator

Details Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator Solving dielectric and plasmonic waveguide dispersion relations with a pocket calculator

2009-09-28

arxiv.org/abs/0909.4968v2

Optics Express Vol 17 (No. 26) pp. 24112 (2009)

Physics

Optics

18 pages, 11 Figures, 5 Tables, added references, Submitted to Optics Express

Scientific paper

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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