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Authors: Defrance, Josselin
Schäferling, Martin
Weiss, Thomas
Title: Modeling of second-harmonic generation in periodic nanostructures by the Fourier modal method with matched coordinates
Issue Date: 2018 Zeitschriftenartikel 13746-13758 Optics express 26 (2018), pp. 13746-13758
ISSN: 1094-4087
Abstract: We present an advanced formulation of the Fourier modal method for analyzing the second-harmonic generation in multilayers of periodic arrays of nanostructures. In our method, we solve Maxwell’s equations in a curvilinear coordinate system, in which the interfaces are defined by surfaces of constant coordinates. Thus, we can apply the correct Fourier factorization rules as well as adaptive spatial resolution to nanostructures with complex cross sections. We extend here the factorization rules to the second-harmonic susceptibility tensor expressed in the curvilinear coordinates. The combination of adaptive curvilinear coordinates and factorization rules allows for efficient calculation of the second-harmonic intensity, as demonstrated for one- and two-dimensional periodic nanostructures.
Appears in Collections:08 Fakultät Mathematik und Physik

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