Application of the Wigner distribution function to partially coherent light
- 1 August 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (8) , 1227-1238
- https://doi.org/10.1364/josaa.3.001227
Abstract
The paper presents a review of the Wigner distribution function (WDF) and of some of its applications to optical problems, especially in the field of partial coherence. The WDF describes a signal in space and in spatial frequency simultaneously and can be considered the local spatial-frequency spectrum of the signal. Although derived in terms of Fourier optics, the description of an optical signal by means of its WDF closely resembles the ray concept in geometrical optics; the WDF thus presents a link between partial coherence and radiometry. Properties of the WDF and its propagation through linear optical systems are considered; again, the description of systems by WDF’s can be interpreted directly in geometric-optical terms. Some examples are included to show how the WDF can be applied to practical problems that arise in the field of partial coherence.Keywords
This publication has 36 references indexed in Scilit:
- The Wigner Distribution Function of Partially Coherent LightOptica Acta: International Journal of Optics, 1981
- The Wigner distribution function applied to optical signals and systemsOptics Communications, 1978
- Coherence and radiometry with quasihomogeneous planar sources*Journal of the Optical Society of America, 1977
- A Frequency-domain Treatment of Partial CoherenceOptica Acta: International Journal of Optics, 1977
- Spectral coherence and the concept of cross-spectral purity*Journal of the Optical Society of America, 1976
- Radiometry and CoherenceJournal of the Optical Society of America, 1968
- Generalized Phase-Space Distribution FunctionsJournal of Mathematical Physics, 1966
- A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range of arbitrary widthProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955
- A macroscopic theory of interference and diffraction of light from finite sources, I. Fields with a narrow spectral rangeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1954
- On the Quantum Correction For Thermodynamic EquilibriumPhysical Review B, 1932