Global ETD Search

11	Microscopie de mélange à quatre ondes résolue en polarisation pour sonder l’ordre moléculaire dans les milieux biologiques / Polarization resolved four-wave mixing microscopy : a tool to probe molecular order in biological media Bioud, Fatma Zohra 28 November 2013 (has links) Nous avons développé une méthodologie basée sur phénomène de mélange à quatre ondre polarimétrique « Four wave Mixing FWM » et son équivalen résonant la diffusion Raman cohérente anti-Stokes (CARS, Coherent Anti-Stokes Raman Scattering) polarimétrique et réalisé des mesures sur des systèmes cristallins, simili biologiques : les membranes cellulaires connues sous le nom de « Multilamellar Vesicles MLV » et des échantillons de biologiques : la myeline, et ce, en variant les polarisations des lasers excitateurs, Pompe et Stokes. Le signal anti-Stokes émis est ensuite analysé afin d’en extraire les ordres 2 et 4 de la fonction de distribution angulaire des molécules actives constituant l’échantillon. Pour cela, plusieurs approches sont explorées telles que des algorithmes d’optimisation ou par décomposition en série de fourrier du signal polarimétrique. Ces multiples approches en traitement du signal permettent d’obtenir de manière rapide les coefficients des fonctions de distribution angulaire recherchées, et ainsi d’avoir des informations sur la symétrie des échantillons imagés, allant jusqu’à l’observation d’une symétrie d’ordre 4. La capacité de la microscopie non linéaire résolue en polarisation à sonder des ordres moléculaires est clairement démontrée et ainsi son intérêt dans l’étude de la relation entre la structure et la fonction de systèmes biologiques. / The capacity to quantify molecular orientational order in tissues is of a great interest since pathologies (skin lesion, neurodegenerative diseases, etc) can induce strong modifications in proteins’ organization. While numerous studies have been undertaken using polarization resolved second order nonlinear optical microscopy which is only specific to non-centrosymmetric organizations, higher order effects have been less explored. Four-wave mixing (FWM) microscopy and its resonant counterpart coherent anti-Stokes Raman scattering (CARS) can be of a great utility as label free diagnosis tools benefiting from less constraining symmetry rules. In this work, we implement incident polarizations tuning in FWM and CARS microscopy to probe molecular order, using a generic method to read-out symmetry information.Fourier analysis of the polarization-resolved FWM/CARS signal processed with an analytical model provides a fast and direct determination of the symmetry orders of the distribution function of the probed molecules. This method does not require a priori knowledge of the organization structure and provides quantitatively its second and fourth order symmetries. We applied this technique on different systems, from crystalline to less organized (multilamellar vesicles and proteins aggregates). We show that this new approach brings additional and more refined information on supra-molecular structures in complex media. Microscopie non linéaire Mélange à quatre ondes CARS Diffusion Raman cohérente anti-Stokes Ordre moléculaire Nonlinear microscopy Four wave mixing CARS Molecular order
12	High order numerical methods for a unified theory of fluid and solid mechanics Chiocchetti, Simone 10 June 2022 (has links) This dissertation is a contribution to the development of a unified model of continuum mechanics, describing both fluids and elastic solids as a general continua, with a simple material parameter choice being the distinction between inviscid or viscous fluid, or elastic solids or visco-elasto-plastic media. Additional physical effects such as surface tension, rate-dependent material failure and fatigue can be, and have been, included in the same formalism. The model extends a hyperelastic formulation of solid mechanics in Eulerian coordinates to fluid flows by means of stiff algebraic relaxation source terms. The governing equations are then solved by means of high order ADER Discontinuous Galerkin and Finite Volume schemes on fixed Cartesian meshes and on moving unstructured polygonal meshes with adaptive connectivity, the latter constructed and moved by means of a in- house Fortran library for the generation of high quality Delaunay and Voronoi meshes. Further, the thesis introduces a new family of exponential-type and semi- analytical time-integration methods for the stiff source terms governing friction and pressure relaxation in Baer-Nunziato compressible multiphase flows, as well as for relaxation in the unified model of continuum mechanics, associated with viscosity and plasticity, and heat conduction effects. Theoretical consideration about the model are also given, from the solution of weak hyperbolicity issues affecting some special cases of the governing equations, to the computation of accurate eigenvalue estimates, to the discussion of the geometrical structure of the equations and involution constraints of curl type, then enforced both via a GLM curl cleaning method, and by means of special involution-preserving discrete differential operators, implemented in a semi-implicit framework. Concerning applications to real-world problems, this thesis includes simulation ranging from low-Mach viscous two-phase flow, to shockwaves in compressible viscous flow on unstructured moving grids, to diffuse interface crack formation in solids. High order ADER Discontinuous Galerkin DG Finite Volume FV Finite Element FE FEM DGFEM CFD Voronoi Delaunay Unstructured meshe Fortran Fluid mechanic Solid Mechanic Continuum Mechanic Baer Nunziato Surface tension Multiphase flow Compressible flow Navier Stoke Semi-implicit GLM cleaning Partial differential equation Numerical method Stiff source Finite rate stiff relaxation Hyperbolic equation Metodi d'alto ordine ADER Discontinous Galerkin Volumi Finiti Elementi Finiti Meccanica dei fluidi Meccanica dei solidi Meccanica dei continui Fluidi multifase Fluidi comprimibili Metodi semi-impliciti Equazioni alle derivate parziali Metodi numerici Equazioni iperboliche Griglie non strutturate

Search results

Microscopie de mélange à quatre ondes résolue en polarisation pour sonder l’ordre moléculaire dans les milieux biologiques / Polarization resolved four-wave mixing microscopy : a tool to probe molecular order in biological media

High order numerical methods for a unified theory of fluid and solid mechanics