Analytical propagation of supergaussian-like beams in the far-field

S. Bollanti, P. Di Lazzaro, D. Murra, A. Torre

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13 Citations (Scopus)


The analytical propagation of coherent supergaussian (SG)-like beams was calculated after F. Gori [Optics Comm. 107 (1994) 335] by introducing a linear superposition of Laguerre-Gauss functions called "flattened gaussian beam". Here we propose a new family of SG-like beams, written as the convolution of a gaussian with a rectangle function; then, the well known convolution theorem allows a straightforward and simple analytical calculation of the beam profile in the focal plane of an arbitrary focusing system. In addition, this method can be successfully applied to more complex cases, as the SG-like beams commonly emitted by hard-edged unstable resonators (beam energy distribution with a hole).
Original languageEnglish
Pages (from-to)35 - 39
Number of pages5
JournalOptics Communications
Issue number1-3
Publication statusPublished - 15 May 1997
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Physical and Theoretical Chemistry
  • Electrical and Electronic Engineering

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