24 April 2018 Analytical representation for structured light generated by astigmatic transformation of Hermite-Gaussian beams
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Proceedings Volume 10712, Optical Manipulation Conference; 107120Q (2018) https://doi.org/10.1117/12.2319378
Event: SPIE Structured Light, 2018, Yokohama, Japan
Abstract
Theoretical wave functions are analytically derived to formulate the propagation evolution of the Hermite-Gaussian (HG) beams transformed by single lens astigmatic mode converter with arbitrary angle. The derived wave functions are associated with the combination of the rotation transform and the antisymmetric fractional Fourier transform. The derived formula are validated by the mode conversions of high-order HG beams generated by an off-axis diode-pumped solidstate laser. In addition to validation, the creation and evolution of vortex structures in the transformed HG beams are numerically manifested. The present theoretical model can be applied not only to characterize the evolution of the transformed beams but to design the optical vortex beams with various forms.
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Y. H. Hsieh, P. H. Tuan, J. C. Tung, H. C. Liang, K. W. Su, Y. F. Chen, "Analytical representation for structured light generated by astigmatic transformation of Hermite-Gaussian beams", Proc. SPIE 10712, Optical Manipulation Conference, 107120Q (24 April 2018); doi: 10.1117/12.2319378; https://doi.org/10.1117/12.2319378
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