Twisted Gaussian Schell-model beams. I. Symmetry structure and normal-mode spectrum

Journal Article · Wed Sep 01 04:00:00 EDT 1993 · Journal of the Optical Society of America, Part A: Optics and Image Science; (United States)

DOI:https://doi.org/10.1364/JOSAA.10.002008· OSTI ID:5017695

Simon, R; Sundar, K ^[1]; Mukunda, N ^[2]

---

1. Institute of Mathematical Sciences, Madras (India)
2. Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (India)

The authors present a comprehensive normal-mode decomposition analysis for the recently introduced class of twisted Gaussian Schell-model fields in partially coherent beam optics. The formal analogies to quantum mechanics in two dimensions are exploited. The authors also make effective use of a dynamical SU(2) symmetry of these fields to achieve the mode decomposition and to determine the spectrum. The twist phase is nonseparable in nature, rendering it nontrivially two dimensional. The consequences of this, resulting in the need to use Laguerre-Gaussian functions rather than products of Hermite-Gaussians, are carefully analyzed. An important identity involving these sets of special functions is established and is used in deriving the spectrum. 10 refs.

• OSTI ID: 5017695
• Journal Information: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States), Journal Name: Journal of the Optical Society of America, Part A: Optics and Image Science; (United States) Vol. 10:9; ISSN 0740-3232; ISSN JOAOD6
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAM OPTICS
COHERENT RADIATION
ELECTROMAGNETIC RADIATION
FUNCTIONS
GAUSSIAN PROCESSES
LAGUERRE POLYNOMIALS
LIE GROUPS
MATHEMATICAL MODELS
POLYNOMIALS
RADIATIONS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION