Abstract
Nanophotonic devices show interesting features for nonlinear response enhancement but numerical tools are mandatory to fully determine their behaviour. To address this need, we present a numerical modal method dedicated to nonlinear optics calculations under the undepleted pump approximation. It is brie y explained in the frame of Second Harmonic Generation for both plane waves and focused beams. The nonlinear behaviour of selected nanostructures is then investigated to show comparison with existing analytical results and study the convergence of the code.
Highlights
In the near- and the mid-infrared, nanostructured devices are giving promising results for controlling the localization of the electric field and for strong intensity field enhancement [1,2,3,4]
Numerical simulations are performed in the case of Maker fringes in a 110 crystalline GaAs membrane, where a square sine function at a spatial frequency Δk k2ω − 2kω
2n2ω − nω ω∕c is expected in the direction z of the incident plane wave [24,26]
Summary
Numerical examples are described and the convergence of the method is investigated. In the near- and the mid-infrared, nanostructured devices are giving promising results for controlling the localization of the electric field and for strong intensity field enhancement [1,2,3,4]. Since nonlinear optics processes benefit from a large enhancement of the local electric field, such nanostructures are very promising [5,6,7,8]. Their design and optimization need fast numerical simulation tools. We adapt the BMM to map the SH field throughout periodic nanostructured layers for plane waves (of arbitrary incident angle) under the undepleted pump approximation. The theoretical method to compute the generated SH field in periodic nanostructures is detailed first for a single plane wave of frequency ω, and is generalized to a focused beam
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