Finite energy Airy-Hermite-Gaussian beam and its paraxial propagation

  • Wen W
  • Song K
  • Dong Y
 et al. 
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A new form of laser beam called finite energy Airy-Hermite-Gaussian beam (AHGB) is introduced to describe the out mode of the metal strip waveguide in this paper. In the source plane, this beam can be decomposed into a Hermite-Gaussian function in y-direction and exponentially modified Airy function in x-direction. When the exponential truncation factor is large, the intensity profile in the source plane is an approximate off-axis Hermite-Gaussian distribution. Based on the Collins integral, an analytical expression for the finite energy AHGB passing through a paraxial ABCD optical system has been derived. For special cases, the propagation properties of this kind of beam passing in free space, through a thin lens and a fractional Fourier transformation system are studied and illustrated with numerical calculation. Our results provide an effective and fast way for studying the paraxial propagation properties of the finite energy AHGB. © 2012 Elsevier Ltd.

Author-supplied keywords

  • Collins formula
  • Finite energy Airy-Hermite-Gaussian beam
  • Propagation

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  • Wei Wen

  • Kehui Song

  • Yiming Dong

  • Min Yao

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