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Fast computation and characterization of perturbed Bessel-Gauss beams

: Merx, S.; Stock, J.; Gross, H.


Journal of the Optical Society of America. A, Optics, image science, and vision 36 (2019), Nr.11, S.1892-1897
ISSN: 1084-7529
ISSN: 0740-3232
ISSN: 1520-8532
Fraunhofer IOF ()

In this paper, an extended definition of the Strehl ratio is introduced for Bessel-Gauss (BGB) beams, which, in contrast to classical beams, are not defined at a single point but along the optical axis. For that purpose, the Fresnel diffraction integral is solved analytically to calculate the on-axis field of a BGB that is perturbed by spherical aberration, astigmatism, and coma. Certain approximations are introduced, discussed, and tested against a rigorous propagation method. The derived expression is applied to tolerancing of an example system.