Focusing of truncated Gaussian beams

Zoltán L. Horváth, Z. Bor

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

It is shown that the focusing of truncated Gaussian beams can be treated by the same manner as uniform spherical waves, i.e., the diffraction integral can be expressed by the Lommel functions, which offers a very efficient way for the calculation of the three-dimensional light distribution near focus. All the expressions for the uniform spherical waves hold good for Gaussian beams if the first variable in the Lommel functions is extended to the complex domain. The intensity distribution depending on the Fresnel number and the truncation coefficient is calculated. The location of the first few minima and maxima of the intensity in focal plane is given for different values of the truncation coefficient. The phase behavior depending on the truncation coefficient is studied.

Original languageEnglish
Pages (from-to)51-68
Number of pages18
JournalOptics Communications
Volume222
Issue number1-6
DOIs
Publication statusPublished - Jul 1 2003

Fingerprint

Gaussian beams
spherical waves
Phase behavior
coefficients
approximation
Diffraction
diffraction

Keywords

  • Circular aperture
  • Diffraction
  • Focusing
  • Gaussian beams

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Focusing of truncated Gaussian beams. / Horváth, Zoltán L.; Bor, Z.

In: Optics Communications, Vol. 222, No. 1-6, 01.07.2003, p. 51-68.

Research output: Contribution to journalArticle

Horváth, Zoltán L. ; Bor, Z. / Focusing of truncated Gaussian beams. In: Optics Communications. 2003 ; Vol. 222, No. 1-6. pp. 51-68.
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