Abstract
The transformation of Four-petal Gaussian (FPG) beam by an Optical Airy Transform System (OATS) is examined theoretically. The generalized expression of the output generated field is performed for an arbitrary beam order N. In particular, we derived alternative closed-form output field expressions for three lower beam orders N = 1, 2 and 3. Its dependence on the input FPG beam parameters is illustrated with numerical examples. It is shown that passing through an OATS, the FPG beam is converted into Airy-like field. The generated beam can be regarded as interference of the Hermite-Airy and Hermite-Airy prime modes. Moreover, it is shown that for a large waist size, the interference effect decreases and the beam retrieves its original four petal structure.
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Yaalou, M., Hricha, Z. & Belafhal, A. Investigation on Airy transform of Four-Petal Gaussian beams. Opt Quant Electron 52, 165 (2020). https://doi.org/10.1007/s11082-020-02286-9
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DOI: https://doi.org/10.1007/s11082-020-02286-9