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Propagation of Airy beams through a hard-edged aperture

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Abstract

Based on the fact that a hard-edged aperture function can be expanded into a finite sum of complex Gaussian functions, we obtain the analytical formula for the propagation of the Airy beams in free space and through the fractional Fourier transformation (FrFT) system. According to the derived formulas, the propagation properties of the Airy beams in free space and through the FrFT plane with a hard-edged aperture are illustrated numerically.

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (Grant Nos. 10904041, 61008063), and Specialized Research Fund for growing seedlings of the Higher Education in Guangdong (Grant No. C10087).

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Authors and Affiliations

  1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou, 510631, People’s Republic of China

    D. Deng

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  1. D. Deng
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Deng, D. Propagation of Airy beams through a hard-edged aperture. Appl. Phys. B 107, 195–200 (2012). https://doi.org/10.1007/s00340-012-4899-7

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  • DOI: https://doi.org/10.1007/s00340-012-4899-7

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