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<p>To investigate the evolution characteristics of the Elegant Hermite high-order Cosine Hyperbolic Gaussian (EHHOChG) beams in an Optical Airy transform system (OATS), we employed the Huygens Fresnel diffraction formula. Both theoretical analysis and numerical simulations were conducted to examine the intensity distribution of the output beam for various values of the decentered parameter and the beam order, using the derived analytical electric field expressions in one- and three-dimensional forms. The transformed EHHOChG beam is interpreted as a combination of two weighted products of Airy derivative modes with shifted arguments. The obtained results reveal that, with increasing the beam order <i>N</i> and the decentered factor <i>b</i>, the main peak remains nearly unchanged but the side lobes number decreases, resulting in weaker intensities. Besides, as the absolute values of the Airy-control parameters decrease, both the number of side lobes in the beam spot and the beam spot size are reduced. Moreover, peak band structures emerge at higher beam order and large parameter <i>b</i>. The obtained results may be relevant for application involving Airy beam propagation and manipulation.</p>

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Conversion of elegant Hermite higher-order cosine-hyperbolic Gaussian beams into Airy related beams by an optical airy transform system

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • M. Yaalou,
  • Z. Hricha,
  • A. Belafhal

摘要

To investigate the evolution characteristics of the Elegant Hermite high-order Cosine Hyperbolic Gaussian (EHHOChG) beams in an Optical Airy transform system (OATS), we employed the Huygens Fresnel diffraction formula. Both theoretical analysis and numerical simulations were conducted to examine the intensity distribution of the output beam for various values of the decentered parameter and the beam order, using the derived analytical electric field expressions in one- and three-dimensional forms. The transformed EHHOChG beam is interpreted as a combination of two weighted products of Airy derivative modes with shifted arguments. The obtained results reveal that, with increasing the beam order N and the decentered factor b, the main peak remains nearly unchanged but the side lobes number decreases, resulting in weaker intensities. Besides, as the absolute values of the Airy-control parameters decrease, both the number of side lobes in the beam spot and the beam spot size are reduced. Moreover, peak band structures emerge at higher beam order and large parameter b. The obtained results may be relevant for application involving Airy beam propagation and manipulation.