conference paper published Manfred Hammer author 480770000-0002-6331-9348 Jean-EmmanuelBroquin editor GualtieroNunzi Conti editor 61 department Photonics West 2016/OPTO 2016 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. SPIE2016San Francisco, USA eng tet_topic_waveguidetet_topic_numerics 10.1117/12.2214331 9750975018-975018-8 M. Hammer, “Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling,” in <i>Integrated Optics: Devices, Materials, and Technologies XX</i>, San Francisco, USA, 2016, no. 9750, pp. 975018-975018–8. Hammer, M. (2016). Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling. In J.-E. Broquin &#38; G. Nunzi Conti (Eds.), <i>Integrated Optics: Devices, Materials, and Technologies XX</i> (pp. 975018-975018–8). San Francisco, USA: SPIE. <a href="https://doi.org/10.1117/12.2214331">https://doi.org/10.1117/12.2214331</a> M. Hammer, in: J.-E. Broquin, G. Nunzi Conti (Eds.), Integrated Optics: Devices, Materials, and Technologies XX, SPIE, 2016, pp. 975018-975018–8. Hammer, Manfred. “Wave Interaction in Photonic Integrated Circuits: Hybrid Analytical / Numerical Coupled Mode Modeling.” In <i>Integrated Optics: Devices, Materials, and Technologies XX</i>, edited by Jean-Emmanuel Broquin and Gualtiero Nunzi Conti, 975018-975018–8. SPIE, 2016. <a href="https://doi.org/10.1117/12.2214331">https://doi.org/10.1117/12.2214331</a>. Hammer, Manfred. “Wave Interaction in Photonic Integrated Circuits: Hybrid Analytical / Numerical Coupled Mode Modeling.” <i>Integrated Optics: Devices, Materials, and Technologies XX</i>, edited by Jean-Emmanuel Broquin and Gualtiero Nunzi Conti, no. 9750, SPIE, 2016, pp. 975018-975018–8, doi:<a href="https://doi.org/10.1117/12.2214331">10.1117/12.2214331</a>. @inproceedings{Hammer_2016, title={Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling}, DOI={<a href="https://doi.org/10.1117/12.2214331">10.1117/12.2214331</a>}, number={9750}, booktitle={Integrated Optics: Devices, Materials, and Technologies XX}, publisher={SPIE}, author={Hammer, Manfred}, editor={Broquin, Jean-Emmanuel and Nunzi Conti, GualtieroEditors}, year={2016}, pages={975018-975018–8} } Hammer M. Wave interaction in photonic integrated circuits: Hybrid analytical / numerical coupled mode modeling. In: Broquin J-E, Nunzi Conti G, eds. <i>Integrated Optics: Devices, Materials, and Technologies XX</i>. SPIE; 2016:975018-975018-8. doi:<a href="https://doi.org/10.1117/12.2214331">10.1117/12.2214331</a> 39342018-08-20T09:25:13Z2022-01-06T06:59:56Z