Oscillating electric dipole fields

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Table of contents

Acknowledgements
Abstract
Resume
Resume Substantiel
Introduction
1 Holographic microscopy for far-eld optical mapping
1.1 Principles of digital holography
1.1.1 Experimental suppression of parasite diraction orders
1.1.2 Experimental setup
1.1.3 Digital reconstruction process
1.2 Mapping optical elds with DHH
2 Metallic nanoparticles
2.1 Overview of the electromagnetic response of nanoparticles
2.1.1 Quasi-static approximation
2.1.2 Oscillating electric dipole elds
2.1.3 Scattering and absorption cross-sections
2.1.4 Localized surface plasmon resonances
2.2 Electrochemistry studies coupled to holographic imaging
3 Holography for particle localization, tracking and superresolution imaging
3.1 Wide-eld microscopy: beyond the diraction limit
3.1.1 3D localization microscopy
3.1.2 Holographic microscope: localization accuracy on immobilized NPs
3.1.2.1 Signal-to-noise ratio
3.1.2.2 Axial range
3.2 Superresolution imaging by point-by-point data accumulation: from 2D to 3D
3.2.1 Densely labeled samples
3.2.2 Our approach: moving labels
3.2.2.1 Brownian motion
3.2.2.2 Covering time for 2D stochastic image formation
3.3 Speeding up data processing: parallel programming
4 Gold NPs for superresolution stochastic optical mapping
4.1 Framework
4.1.1 Propagating versus evanescent waves
4.1.2 Spatial resolution versus spatial frequency bandwidth
4.1.3 Near-eld optical microscopy
4.2 Optical mapping by holographic localization of Brownian scatterers
4.2.1 Imaging an evanescent wave
4.2.2 Imaging a laser beam distribution
4.3 Present challenges: optical mapping around nanostructures
4.3.1 Background suppression
4.3.1.1 Fourier space spatial ltering
4.3.1.2 Heterodyne ltering of static objects
Conclusions and prospects
A Centiles of the coupon-collector problem
A.1 Time for r observations of each n pixels, one hit at a time (k = 1)
A.2 Time for r observations of each n pixels, with random number of observations at a time (k 1)
B Scientic Activities
Bibliography