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Proceedings Paper

Aberrated laser beams in terms of Zernike polynomials
Author(s): Javier Alda; Jose Alonso; Eusebio Bernabeu
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Paper Abstract

The characterization of light beams has devoted a lot of attention in the past decade. Several formalisms have been presented to treat the problem of parameter invariance and characterization in the propagation of light beam along ideal, ABCD, optical systems. The hard and soft apertured optical systems have been treated too. Also some aberrations have been analyzed, but it has not appeared a formalism able to treat the problem as a whole. In this contribution we use a classical approach to describe the problem of aberrated, and therefore apertured, light beams. The wavefront aberration is included in a pure phase term expanded in terms of the Zernike polynomials. Then, we can use the relation between the lower order Zernike polynomia and the Seidel or third order aberrations. We analyze the astigmatism, the spherical aberration and the coma, and we show how higher order aberrations can be taken into account. We have calculated the divergence, and the radius of curvature of such aberrated beams and the influence of these aberrations in the quality of the light beam. Some numerical simulations have been done to illustrate the method.

Paper Details

Date Published: 20 November 1996
PDF: 10 pages
Proc. SPIE 2870, Third International Workshop on Laser Beam and Optics Characterization, (20 November 1996); doi: 10.1117/12.259939
Show Author Affiliations
Javier Alda, Univ. Complutense de Madrid (Spain)
Jose Alonso, Univ. Complutense de Madrid (Spain)
Eusebio Bernabeu, Univ. Complutense de Madrid (Spain)


Published in SPIE Proceedings Vol. 2870:
Third International Workshop on Laser Beam and Optics Characterization
Michel Morin; Adolf Giesen, Editor(s)

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