Specular and vortical Airy beams |
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Authors: | Svetlana N Khonina |
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Institution: | Image Processing Systems Institute of Russian Academy of Sciences, Molodogvardeiskaya str. 151, Samara 443001, Russia |
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Abstract: | A new kind of truncated Airy beams is investigated and discussed. These beams are a superposition of shifted and truncated Airy functions and its specular counterparts, where zeroes or extremal points of the Airy function are chosen as a truncation point. The specular Airy beams are smooth at the truncation point and produce a diffraction pattern similar to Hermite-Gaussian modes. Under propagation in Fresnel zone, specular Airy beams demonstrate a symmetrical acceleration in opposite sides and the beam divergence is proportional to the traveled distance squared. The astigmatic mode converter transforms a two-dimensional specular Airy beam into a quasi-annular field with a nonzero orbital angular momentum. Vortical Airy beams based on truncated Airy functions are also discussed. These beams are similar to Laguerre-Gaussian modes, while their annular structure is changed during propagation. |
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Keywords: | Airy beams Specular Airy beams Astigmatic transform Vortical beams Orbital angular momentum |
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