Analysis of multi-element resonators using the fractional Fourier transform

Cesar O. Torres Moreno; Yezid M. Torres Moreno

doi:10.1117/12.591765

21 October 2004 Analysis of multi-element resonators using the fractional Fourier transform

Cesar O. Torres Moreno, Yezid M. Torres Moreno

Proceedings Volume 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications; (2004) https://doi.org/10.1117/12.591765
Event: 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, 2004, Porlamar, Venezuela

Abstract

In this paper we demonstrate that the propagation of a light wave into multi-element optical system can be treated in the framework of the fractional Fourier transform. This result provide new insight into wave propagation and multi-element resonators as well as the possibility of exploiting this result as a mathematical tool in analyzing such systems. This mathematical formulation gives the direct relationship between input and output of the light field, the confinement stability condition, the diameters of the beam at the mirrors and the diameter of the beam waist.

Citation Download Citation

Cesar O. Torres Moreno and Yezid M. Torres Moreno "Analysis of multi-element resonators using the fractional Fourier transform", Proc. SPIE 5622, 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, (21 October 2004); https://doi.org/10.1117/12.591765

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