Fractional Fourier transform of Lorentz beams |
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Authors: | Zhou Guo-Quan |
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Institution: | School of Sciences, Zhejiang Forestry University, Lin'an 311300, China |
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Abstract: | This paper introduces Lorentz beams to describe certain laser
sources that produce highly divergent fields. The fractional Fourier
transform (FRFT) is applied to treat the propagation of Lorentz
beams. Based on the definition of convolution and the convolution
theorem of the Fourier transform, an analytical expression for a
Lorentz beam passing through a FRFT system has been derived. By
using the derived formula, the properties of a Lorentz beam in the
FRFT plane are illustrated numerically. |
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Keywords: | Lorentz beam fractional Fourier
transform propagation properties |
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