Automatic design and optimisation of Si nanophotonics devices using finite element frequency domain solvers

T. P. Felici; D. F. G. Gallagher; Lorenzo Bolla

doi:10.1117/12.717509

2 March 2007 Automatic design and optimisation of Si nanophotonics devices using finite element frequency domain solvers

T. P. Felici, D. F. G. Gallagher, Lorenzo Bolla

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Proceedings Volume 6475, Integrated Optics: Devices, Materials, and Technologies XI; 64750L (2007) https://doi.org/10.1117/12.717509
Event: Integrated Optoelectronic Devices 2007, 2007, San Jose, California, United States

Abstract

A numerical optimization technique coupled with a finite element frequency domain solver was applied to a variety of Si nanowire photonic devices in an attempt to improve transmissions or matching to predefined criteria. The optimisation procedures are iterative in nature, in that they approach the optimal solution by exploring a sequence of carefully selected points in the parameter space. For any optimisation procedure to be effective, a good optimiser needs to be coupled with an efficient solver capable of modeling correctly all device configurations allowed by the parameter space. In the case of electromagnetic problems, it is particularly important that the divergence free condition is obeyed. The solver used here satisfies this condition and therefore greatly reduces the chances of the optimiser finding artificial optimal solutions with incorrect field distributions. This FEFD is used by a deterministic global optimisation method, which systematically subdivides the parameter space to split more quickly in regions most likely to contain an optimum. Since the entire parameter space is eventually explored, this optimisation technique is not only guaranteed to (eventually) find the globally optimal solution, but can also show other interesting local optima. As no gradient information is required, the method works well even in the presence of the random errors typically occurring when using Finite Element solvers where a unique optimised mesh is generated for each calculation.

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T. P. Felici, D. F. G. Gallagher, and Lorenzo Bolla "Automatic design and optimisation of Si nanophotonics devices using finite element frequency domain solvers", Proc. SPIE 6475, Integrated Optics: Devices, Materials, and Technologies XI, 64750L (2 March 2007); https://doi.org/10.1117/12.717509

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KEYWORDS

Waveguides

Resonators

Chemical elements

Neodymium

Silicon

Nanophotonics

Waveguide modes

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