Propagation properties of controllable dark-hollow beams through fractional Fourier transform systems |
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| Authors: | Tang Bin Li Rui-peng Jin Yi and Jiang Mei-ping |
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| Affiliation: | School of Mathematics & Physics, Changzhou University, Changzhou 213164, China;School of Mathematics & Physics, Changzhou University, Changzhou 213164, China;School of Mathematics & Physics, Changzhou University, Changzhou 213164, China;School of Mathematics & Physics, Changzhou University, Changzhou 213164, China |
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| Abstract: | Based on the definition of fractional Fourier transform (FrFT) in the cylindrical coordinate system, the propagation properties
of a controllable dark-hollow beam (CDHB) are investigated in detail. An analytical formula is derived for the FrFT of a CDHB.
By using the derived formula, the properties of a CDHB in the FrFT plane are illustrated numerically. The results show that
the properties of the intensity of the beam in the FrFT are closely related to not only the fractional order but also initial
beam parameter, beam order and the lens focal length of the optical system for performing FrFT. The derived formula provides
an effective and convenient way for analyzing and calculating the FrFT of a CDHB. |
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