Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling

Manfred Hammer

doi:10.1117/12.2214331

1 March 2016 Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling

Manfred Hammer

Proceedings Volume 9750, Integrated Optics: Devices, Materials, and Technologies XX; 975018 (2016) https://doi.org/10.1117/12.2214331
Event: SPIE OPTO, 2016, San Francisco, California, United States

Abstract

Typical optical integrated circuits combine elements, like straight and curved waveguides, or cavities, the simulation and design of which is well established through numerical eigenproblem-solvers. It remains to predict the interaction of these modes. We address this task by a ”Hybrid” variant (HCMT) of Coupled Mode Theory. Using methods from finite-element numerics, the optical properties of a circuit are approximated by superpositions of eigen-solutions for its constituents, leading to quantitative, low-dimensional, and interpretable models in the frequency domain. Spectral scans are complemented by the direct computation of supermode properties (spectral positions and linewidths, coupling-induced phase shifts). This contribution outlines the theoretical background, and discusses briefly limitations and implementational details, with the help of an example of a 2-D coupled-resonator-optical-waveguide configuration.

Citation Download Citation

Manfred Hammer "Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling", Proc. SPIE 9750, Integrated Optics: Devices, Materials, and Technologies XX, 975018 (1 March 2016); https://doi.org/10.1117/12.2214331

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