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Contribution to the exploration of dispersive and polarization properties of graded photonic crystal structures

Abstract : This PhD thesis brings a theoretical and experimental contribution to the exploration of dispersive and polarization properties of graded photonic crystal (GPhC) structures. We first present a quantitative relationship between the deformations of the equi-frequency surfaces (EFSs) of different photonic crystals and the lattice parameters of the considered configurations. Considering the complexity of the possible GPhC structures made of a two-dimensional spatial chirp of at least one lattice parameter, we limit in this thesis our study to one particular type of GPhC structure based on a square lattice silicon on insulator (SOI) planar photonic crystal with a variable air hole filling factor profile. An analytical expression of the related EFSs as a function of the varied lattice parameter is extracted, and a GPhC “reference” structure is then proposed for the exploration of the dispersive and polarization properties of GPhCs using both Hamiltonian optic-assisted ray tracing as well as FDTD simulations. The clean room fabrication process of this GPhC structure family, which is based on electron beam lithography and reactive ion etching technologies, is reported. Fabricated samples are experimentally studied by far-field and near-field (SNOM) measurement techniques relying on a collaboration with a CNRS group of the Bourgogne university. Experimental results show an almost linear dispersive relationship of 0.25µm/nm in the 1470nm-1600nm spectral range. The fabricated samples also present the possibility for two-wavelength demultiplexing with low insertion loss (below 2dB) and low crosstalk level (around -20dB), and a polarization beam splitting effect with a crosstalk of -27dB in a 70nm bandwidth. Beyond these optical metrics obtained in one particular GPhC configuration, the works presented in this thesis have allowed the direct observation of the transition between the homogeneous and diffraction regimes of light propagation in an artificial optical all-dielectric material, and the presented and adopted methodology for the study of light propagation in GPhC structures has raised open perspectives for the realization of more complex optical functions in forthcoming works using low loss and flexible metamaterial-like photonic crystals.
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  • HAL Id : tel-00788683, version 1

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Khanh Van Do. Contribution to the exploration of dispersive and polarization properties of graded photonic crystal structures. Other [cond-mat.other]. Université Paris Sud - Paris XI, 2012. English. ⟨NNT : 2012PA112237⟩. ⟨tel-00788683⟩

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