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24 May 2022 Design of efficient modally phase-matched SHG waveguides with automatic differentiation
Ryan Hamerly, Alexander Sludds, Saumil Bandyopadhyay, David Heydari, Mircea Catuneanu, Dirk R. Englund, Kambiz Jamshidi
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Proceedings Volume PC12130, Metamaterials XIII; PC1213002 (2022) https://doi.org/10.1117/12.2624485
Event: SPIE Photonics Europe, 2022, Strasbourg, France
Abstract
Subwavelength grating (SWG) metamaterial structures are excellent platforms for guided-wave nonlinear optics, but their design and optimization are challenging due to the large number of geometric degrees of freedom and the need for compute-intensive 3D simulations. Here, we demonstrate inverse design of χ(2) SWG waveguides using an efficient and accurate differentiable plane-wave expansion (PWE) eigensolver. Our solver, which incorporates sparse iterative algorithms and subpixel smoothing, enables efficient eigensolution and end-to-end differentiation from geometric parameters to the SWG figure of merit, which depends both on the eigenvalues (first-order perturbation theory) and the eigenvectors and group indices (second-order perturbation theory), both in forward- and reverse-mode. We apply this solver to the design and optimization of metamaterial waveguides for two types of backward SHG: idler-reversed and pump-reversed. This approach may find use in designing periodic structures more generally, including nanobeam cavities, slow-light modulators, and vertically coupled resonators.
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Ryan Hamerly, Alexander Sludds, Saumil Bandyopadhyay, David Heydari, Mircea Catuneanu, Dirk R. Englund, and Kambiz Jamshidi "Design of efficient modally phase-matched SHG waveguides with automatic differentiation", Proc. SPIE PC12130, Metamaterials XIII, PC1213002 (24 May 2022); https://doi.org/10.1117/12.2624485
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KEYWORDS
Waveguides
Second-harmonic generation
Metamaterials
Structural design
Optical parametric oscillators
Quantum optics
Resonators
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