Coupled mode modeling in guided-wave photonics: a variational, hybrid analytical-numerical approach


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Hammer, M. (2008) Coupled mode modeling in guided-wave photonics: a variational, hybrid analytical-numerical approach. In: Proceedings of the 12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08, 29 June - 02 July 2008, Odesa, Ukraine.

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Abstract:A general variant of coupled-mode-theory for frequency domain guided wave problems in integrated optics is discussed. Starting point is a physically reasonable field template, that typically consists of a few known, most relevant modes of the optical channels in the structure, superimposed with coefficient functions of the respective - in principle arbitrary - propagation coordinates. Discretization of these unknown functions into 1-D finite elements leads to an approximation of the optical field in terms of a linear superposition of structure-adapted, more or less localized modal elements. By variational restriction of a functional representation of the full 2-D/3-D vectorial first order frequency domainMaxwell equations (with transparent influx boundary conditions for inhomogeneous exterior), one can then reduce the problem to a small- to moderate-sized system of linear equations. 2-D examples for a crossing of dielectric waveguides and a grating-assisted rectangular resonator illustrate the performance of the approach.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/64975
Official URL:http://dx.doi.org/10.1109/MMET.2008.4580906
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Metis ID: 251175