Wigner distribution function of circularly truncated light beams

Martin J. Bastiaans

doi:10.1117/12.346769

29 April 1999 Wigner distribution function of circularly truncated light beams

Martin J. Bastiaans

Proceedings Volume 3729, Selected Papers from International Conference on Optics and Optoelectronics '98; (1999) https://doi.org/10.1117/12.346769
Event: Selected Papers from the International Conference on Optics and Optoelectronics, 1998, Dehradun, India

Abstract

The effect of truncating a light beam is expressed as a convolution of the Wigner distribution function of the light beam and the Wigner distribution function of the truncating aperture. The Wigner distribution function of a circular truncating aperture is derived and an approximate expression is presented. The approximation not only has the properties that it is exact in the spatial origin and in the spatial- frequency origin, but also that the integral over all spatial frequencies takes the exact value.

Citation Download Citation

Martin J. Bastiaans "Wigner distribution function of circularly truncated light beams", Proc. SPIE 3729, Selected Papers from International Conference on Optics and Optoelectronics '98, (29 April 1999); https://doi.org/10.1117/12.346769

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