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Propagation characteristics of Bessel-like beams through ABCD optical system

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Abstract

Based on the Collins diffraction integral formula, this work focus to the study of the propagation properties of a Bessel-like beam through an ABCD optical system. As it is not easy to develop an analytical expression describing the transformation of the Bessel-like beams by an ABCD optical system, numerical integration method was indispensable to conduct this research. The characteristics of the transformation of Bessel-like beams by three optical systems: free space, Fourier transform, Fractional Fourier transform system and quadratic graded-index system are numerically examined and treated as examples of optical systems in this investigation. Some numerical results are carried-out to show how the superposition of multiple Airy beams propagates and transforms by an ABCD optical system.

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Acknowledgements

M. Boustimi thanks the King Abdulaziz City for Science and Technology for supporting him within the framework of the Project No. 11-NAN2198-10.

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Authors and Affiliations

  1. Laboratory of Nuclear, Atomic and Molecular Physics, Department of Physics, Faculty of Sciences, Chouaïb Doukkali University, P. B 20, 24000, El Jadida, Morocco

    E. M. El Halba, L. Ez-zariy & A. Belafhal

  2. Physics Department, College of Applied Sciences, Umm Al-Qura University, P.O. Box 715, Mecca, 21955, Saudi Arabia

    M. Boustimi

  3. Department of Chemistry, Laval University, Quebec, QC, G1K 7P4, Canada

    S. Hennani

Authors
  1. E. M. El Halba
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  2. M. Boustimi
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  3. L. Ez-zariy
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  4. S. Hennani
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  5. A. Belafhal
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Correspondence to A. Belafhal.

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El Halba, E.M., Boustimi, M., Ez-zariy, L. et al. Propagation characteristics of Bessel-like beams through ABCD optical system. Opt Quant Electron 49, 269 (2017). https://doi.org/10.1007/s11082-017-1099-z

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