Whenever the natural modes of the modal expansion of the cross-spectral density have a common waist, the wave equation in the waist plane has the form of a two-dimensional Schrödinger equation. Thus the results of quantum mechanics and quantum statistics, including the quantized Schrödinger field, can be transferred to partially coherent light. Such conceptions as temperature, entropy, and energy are used advantageously. A subclass of radiation, radiation in thermal equilibrium, is introduced, and, as examples, the Gaussian Schell-model beam and the quasi-rectangle model beam are investigated. The M2 factor is strongly related to the mean value of energy.
© 1994 Optical Society of America
Original Manuscript: October 25, 1993
Revised Manuscript: January 27, 1994
Manuscript Accepted: January 28, 1994
Published: July 1, 1994
R. Gase, "Methods of quantum mechanics applied to partially coherent light beams," J. Opt. Soc. Am. A 11, 2121-2129 (1994)