Browsing by Author "Defrance, Josselin"

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    Modeling of second-harmonic generation in periodic nanostructures by the Fourier modal method with matched coordinates
    (2018) Defrance, Josselin; Schäferling, Martin; Weiss, Thomas
    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.
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    Theory of nonlinear nanophotonics
    (2020) Defrance, Josselin; Weiss, Thomas (Jun.-Prof. Dr.)
    This thesis presents a full set of new numerical approaches for the description of nonlinear phenomena within nanostructures. Additionally, these methods are used to calculate second- and third-harmonic generations as well as the Kerr optical effect within nanostructures of different shapes. Finally, we compare the results of our method with experimental results on the generation of third harmonic within rather complex plasmonic systems, which are subject to the chiroptical effect in the first example and plasmonic dark modes hybridization in a second example.