Coherent-mode decomposition of partially polarized, partially coherent sources

Abstract

It is shown that any partially polarized, partially coherent source can be expressed in terms of a suitable superposition of transverse coherent modes with orthogonal polarization states. Such modes are determined through the solution of a system of two coupled integral equations. An example, for which the modal decomposition is obtained in closed form in terms of fully linearly polarized Hermite Gaussian modes, is given.

Optical Fibers in Phase Space: A Theoretical Framework

“…Gaussians are also ubiquitous in quantum mechanics, where they are intimately related to the harmonic oscillator (Gitterman, 2003;Moshinsky, 1996;Sako & Diercksen, 2003), to the coherent (Gori et al, 2003;Grewal, 2002;Grosshans et al, 2003;Lauterborn et al, 1993;Lesurf et al, 1993) and squeezed states formalism (Agarwal & Ponomarenko, 2003;Dodonov, 2002;Kim et al, 2002;Sohma & Hirota, 2003). In Quantum Optics, Gaussian beams are fundamental to test and to compare wave optical models and systems (Berry, 1994;Oraevsky, 1998;Rivera et al, 1997).…”

Polarization changes at Lyot depolarizer output for different types of input beams

“…For example, beams with a state of polarization that varies across the transverse section, like radially and azimuthally polarized fields, as well as fields which can be represented as an uncorrelated superposition of beams with the same or different states of polarization have been studied and/or synthesized [18][19][20][21][22][23]. On the other hand, several spectral-beam-combining schemes have been developed in order to obtain an efficient power scaling of laser radiation; see for example [24,25].…”

Vector and Scalar Modes in Coherent Mode Representation of Electromagnetic Beams

“…[2][3] On the other hand, a different mode representation has been introduced, which consists of two scalar coherent mode representations for the diagonal elements and one bi-modal expansion for the off-diagonal elements of the cross spectral density matrix. [4]In this paper, we consider the connection between these two mode representations.…”

“…[1] Accordingly, the coherent mode representation for the scalar field is also generalized to the vector field, however, the procedure to determine vector modes becomes rather involved compared with scalar modes, and requires solving a vector integral equation. [2][3] On the other hand, a different mode representation has been introduced, which consists of two scalar coherent mode representations for the diagonal elements and one bi-modal expansion for the off-diagonal elements of the cross spectral density matrix. [4]In this paper, we consider the connection between these two mode representations.…”

“…The coherent mode representation for a scalar field may be extended to an electromagnetic beam and the cross spectral density matrix can be expanded as an absolutely and uniformly convergent Mercer-type series [2] …”