Generalized beam parameters and transformation laws for partially coherent light

Abstract

The Wigner distribution function (WDF) is used to study the propagation of partially coherent beams through optical systems. The width and divergence of multimode beams are defined in terms of moments of the WDF. It is shown that these and other parameters of partially coherent beams of arbitrary form may be calculated using geometrical ray traces. Generalized transformation laws of these beam parameters by an ABCD optical system are obtained. These laws are tested experimentally for multimode beams and thin lenses. The applications of the ray tracing method can be extended to a non-ABCD system with mild aberrations.

Goos-Hänchen shift of Cosine-Gaussian Schell-model beams with rectangular symmetry

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] In the present work we obtain closed and simple expressions that provide the relation between the GH shift and the global spatial structure of a totally polarized partially coherent beam, within the framework of the second-order irradiance moments. [21][22][23][24][25][26] This paper is organized as follows. In section 2, the formalism and the key definitions of second order intensity moments are introduced.…”

Global beam shaping with nonuniformly polarized beams: a proposal

“…[12][13][14][15][16] The beam quality parameter 15 and kurtosis 17 are two of them. For some particular applications adequate values of these parameters are required, and it is necessary to design optical systems that modify the global characteristics of the beam.…”

Time-resolved spatial profile of TEA CO_2 laser pulses: influence of the gas mixture and intracavity apertures

“…The transversal structure of a beam has been represented by means of merit figures and overall parameters. Among the different proposals, the description based on the socalled intensity moments of the beam [1][2][3][4][5][6] appears at present to be the most satisfactory one, and it has been adopted to rigorously define a number of International Organization for Standardization standards for continuous-wave beams. 7 However, the time-varying aspects of transversal profiles of laser pulses have been considered in only a few papers in recent years.…”