Propagation of complex-argument Laguerre-Gaussian beams through a rectangular hard-edged aperture

GAO Zeng-hui; ZOU Qi-hui; L&#220; Bai-da

Using the relations between Hermite and Laguerre-Gaussian(LG) modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions,the propagation of complex-argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied.An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.The method proposed is useful for studying the beam transformation through an apertured optical system with different geometrical symmetry.

Corresponding author: LÜ Bai-da, badalu@scu.edu.cn

1. Institute of Optoelectronic Information, Yibin University, Yibin 644007, China;

2. Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Received Date: 2005-01-07

Available Online: 2006-03-25

Abstract: Using the relations between Hermite and Laguerre-Gaussian(LG) modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions,the propagation of complex-argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied.An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.The method proposed is useful for studying the beam transformation through an apertured optical system with different geometrical symmetry.

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Reference (8)

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Propagation of complex-argument Laguerre-Gaussian beams through a rectangular hard-edged aperture

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References

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