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As a remarkable optical transformation enabling mutual conversion between Gaussian and Airy beams, the Airy transformation raises intriguing questions when applied to Airyprime beam—an advanced variant of conventional Airy beam. To address this inquiry, this study combines numerical simulations with experimental verification. Results reveal two distinct operational regimes: when the Airy coefficients exceed the negative transverse scale factor, the Airy-transformed optical field of Airyprime beam in any transverse direction becomes equivalent to the superposition of eccentric Airy beam and eccentric Airyprime beam. Conversely, when the Airy coefficients equal the negative transverse scale factor, the transformed optical field equivalently corresponds to the sum of two displaced elegant Hermite-Gaussian beams. Analytical expressions for centroids and beam half width under both regimes have been rigorously derived. Experimental validation through Airy transformation of Airyprime beams systematically measures the Airy coefficients’ influence on intensity distribution, centroid displacement, and beam half width. This investigation establishes a novel methodology for generating complex beam profiles while enhancing the potential application value of such beams in optical communication and beam-splitting technology.
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Keywords:
- Airyprime beam /
- Airy transformation /
- Airy coefficients /
- centroid /
- beam half width
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