Coherent superposition of propagation-invariant laser beams

R. Soskind; M. Soskind; Y. G. Soskind

doi:10.1117/12.932233

15 October 2012 Coherent superposition of propagation-invariant laser beams

R. Soskind, M. Soskind, Y. G. Soskind

Proceedings Volume 8490, Laser Beam Shaping XIII; 849007 (2012) https://doi.org/10.1117/12.932233
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

Abstract

The coherent superposition of propagation-invariant laser beams represents an important beam-shaping technique, and results in new beam shapes which retain the unique property of propagation invariance. Propagation-invariant laser beam shapes depend on the order of the propagating beam, and include Hermite-Gaussian and Laguerre-Gaussian beams, as well as the recently introduced Ince-Gaussian beams which additionally depend on the beam ellipticity parameter. While the superposition of Hermite-Gaussian and Laguerre-Gaussian beams has been discussed in the past, the coherent superposition of Ince-Gaussian laser beams has not received significant attention in literature. In this paper, we present the formation of propagation-invariant laser beams based on the coherent superposition of Hermite-Gaussian, Laguerre-Gaussian, and Ince-Gaussian beams of different orders. We also show the resulting field distributions of the superimposed Ince-Gaussian laser beams as a function of the ellipticity parameter. By changing the beam ellipticity parameter, we compare the various shapes of the superimposed propagation-invariant laser beams transitioning from Laguerre-Gaussian beams at one ellipticity extreme to Hermite-Gaussian beams at the other extreme.

Citation Download Citation

R. Soskind, M. Soskind, and Y. G. Soskind "Coherent superposition of propagation-invariant laser beams", Proc. SPIE 8490, Laser Beam Shaping XIII, 849007 (15 October 2012); https://doi.org/10.1117/12.932233

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