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Theoretical and computational insights into the nonlinear optics of nanostructured bulk and 2D materials

Weismann, M; (2016) Theoretical and computational insights into the nonlinear optics of nanostructured bulk and 2D materials. Doctoral thesis , UCL (University College London). Green open access

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Abstract

In this thesis, a comprehensive analytical and computational study of linear and nonlinear optical response of nanostructured two-dimensional (2D) and bulk materials is presented. The new numerical methods developed in this thesis facilitate the efficient and accurate design of new artificial optical materials and novel nonlinear optical devices. Moreover, the presented results and conclusions can provide a deeper theoretical understanding of different resonant, nonlinear optical phenomena in photonic nanostructures. Two computational electromagnetic methods to calculate the interaction of light with linear and nonlinear diffraction gratings and more general periodic structures have been developed. An efficient formulation of the rigorous coupled-wave analysis (RCWA), a modal frequency domain method, for accurate near-field calculations and for complex oblique structures has been proposed. This method has been implemented into a powerful commercial software tool and applied to calculate diffraction in several nanophotonic devices highly relevant to practical applications. Beyond this commercial implementation, the RCWA has been extended to describe linear and nonlinear optical effects in nanostructured 2D materials, with second- and third-harmonic generation being the most important nonlinear processes. A key feature of this formulation is that it is independent of the height of the 2D material, and only requires knowledge of its linear and nonlinear optical properties. Using this method, plasmon resonances of nanostructured graphene have been investigated, and tuneable Fano resonances have been explored to increase the nonlinear efficiency of heterostructures containing transition metal dichalcogenide monolayers and nanopatterned slab waveguides. The second thrust of the thesis was devoted to extending the so-called generalised source method (GSM) to the area of nonlinear optics. In particular, its mathematical formulation has been extended to incorporate second- and third-order nonlinear optical effects, and the proposed nonlinear GSM has been used to design and optimise multi-resonant photonic devices made of nonlinear optical materials. In addition, this advanced computational method facilitated the understanding of strong nonlinear optical activity in plasmonic nanostructures, and explained the multipolar nonlinear optical response of certain nonlinear metasurfaces.

Type: Thesis (Doctoral)
Title: Theoretical and computational insights into the nonlinear optics of nanostructured bulk and 2D materials
Event: UCL (University College London)
Open access status: An open access version is available from UCL Discovery
Language: English
Additional information: Third party copyright material has been removed from ethesis.
Keywords: photonics, nonlinear optics, computational electromagnetics, two-dimensional materials
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/1493858
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