An Analytical Model Of Focal Region Of Conical , Annular Beam -2 - D And 3 - D Cases.

Jan Jabczynski; Jurij N. Parchomienko

doi:10.1117/12.961335

3 April 1989 An Analytical Model Of Focal Region Of Conical , Annular Beam -2 - D And 3 - D Cases.

Jan Jabczynski, Jurij N. Parchomienko

Proceedings Volume 1121, Interferometry '89; (1989) https://doi.org/10.1117/12.961335
Event: Interferometry '89, 1989, Warsaw, Poland

Abstract

We proposed in this paper a new approach to analyse a phenomenon of 'free - diffraction beam'. An intensity distribution in focal region of annular beam , which waist is placed in front focal plane of optical system, can be considered as a 'free - diffraction beam'. We worked out a simple, analytical model of propagation of annular beams in optical systems in cylindrically and rotationally symmetric cases. There are examined properties of diffraction field in focal region in both cases .We determined formulae describing dimensions of diffraction fringes and compared them with previous results. The results of calculations in 2-D case can be applied to describe intensity distribution of working field of laser anemometer.

Citation Download Citation

Jan Jabczynski and Jurij N. Parchomienko "An Analytical Model Of Focal Region Of Conical , Annular Beam -2 - D And 3 - D Cases.", Proc. SPIE 1121, Interferometry '89, (3 April 1989); https://doi.org/10.1117/12.961335

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