Approximate analytical expression for the spectrum of polychromatic Gaussian beams passing through a multi-apertured ABCD optical system

Guang-pu Zhao; Ping Huang

doi:10.1117/12.900533

19 August 2011 Approximate analytical expression for the spectrum of polychromatic Gaussian beams passing through a multi-apertured ABCD optical system

Guang-pu Zhao, Ping Huang

Author Affiliations +

Proceedings Volume 8192, International Symposium on Photoelectronic Detection and Imaging 2011: Laser Sensing and Imaging; and Biological and Medical Applications of Photonics Sensing and Imaging; 819226 (2011) https://doi.org/10.1117/12.900533
Event: International Symposium on Photoelectronic Detection and Imaging 2011, 2011, Beijing, China

Abstract

The calculation for the spectrum of beams passing through a multi-apertured ABCD optical system has not been finished in any personal computer when the aperture number is more than a certain value. By means of the expansion of the window function of the hard-edge aperture into a finite sum of complex Gaussian functions, an approximate analytical expression for the spectrum of polychromatic Gaussian beams passing through a multi-apertured ABCD optical system is derived and illustrated with numerical examples. The numerical results find an agreement with those by straightforward integral of the cross-spectral density function, but the computing time is strongly reduced.

Citation Download Citation

Guang-pu Zhao and Ping Huang "Approximate analytical expression for the spectrum of polychromatic Gaussian beams passing through a multi-apertured ABCD optical system", Proc. SPIE 8192, International Symposium on Photoelectronic Detection and Imaging 2011: Laser Sensing and Imaging; and Biological and Medical Applications of Photonics Sensing and Imaging, 819226 (19 August 2011); https://doi.org/10.1117/12.900533

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