Optical Beam Characterisation via Phase-Space Tomography

Abstract

ABSTRACT:This work presents four methods based on phase-space tomography for the characterization of the spatial structure of optical beams -the results of my PhD thesis. Each technique is optimal for characterizing beams with a particular symmetry. All methods are experimentally exercised to prove their feasibility in real world applications.Key words: Phase-space tomography, beam characterization, coherence retrieval RESUMEN:Este trabajo presenta cuatro métodos basados en la tomografía en el espacio de fases para la caracterización de la estructura espacial de haces ópticos: los resultados de mi tesis doctoral. Cada técnica está optimizada para caracterizar haces con una simetría en concreto. Todos los métodos son probados experimentalmente, demostrando así su utilidad para aplicaciones del mundo real.Palabras clave: Tomografía espacio de fases, caracterización de haces, reconstrucción de coherencia REFERENCES AND LINKS / REFERENCIAS Y ENLACES[1] J. A. Rodrigo, T. Alieva, "Illumination coherence engineering and quantitative phase imaging," Opt.Lett. 19, 5634-5637 (2014).

Synthesis and characterization of complex partially coherent beams

“…Then its application is more appropriate for the beams which have a certain symmetry that allows reducing the set of the projections P 0,γ,−γ,0 (r) and simplifying the reconstruction process. Thus it has been shown in 24,31 that this set is sufficient for the characterization of partially coherent beams separable in Cartesian coordinates whose MI is written in the form Γ(r 1 , r 2 ) = Γ x (x 1 , x 2 )Γ y (y 1 , y 2 ). Moreover, the same projection set can be used for confirmation of the hypothesis of beam separability.…”

“…The rotational symmetry of the MI (and therefore the WD and AI) can be checked from the simple analysis of WD projections associated with the antisymmetric FrFT. 4,31 If the test fails then the complete set of the projections P β,γ,−γ,α (r) has to be used for beam analysis. The procedure of the reconstruction of the MI of the RSBs and its experimental verification can be found in, 4, 31 here we demonstrate the results of its application to the pSTB discussed in Section 2.…”