Analytical representation for structured light generated by astigmatic transformation of Hermite-Gaussian beams

Y. H. Hsieh, P. H. Tuan, J. C. Tung, H. C. Liang, Kuan-Wei Su, Yung-Fu Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationOptical Manipulation Conference
EditorsKeiji Sasaki, Takashige Omatsu, Hajime Ishihara
PublisherSPIE
ISBN (Electronic)9781510619814
DOIs
StatePublished - 1 Jan 2018
EventOptical Manipulation Conference 2018 - Yokohama, Japan
Duration: 25 Apr 201827 Apr 2018

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10712
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptical Manipulation Conference 2018
CountryJapan
CityYokohama
Period25/04/1827/04/18

Keywords

  • Astigmatic transformation
  • Hermite-Gaussian beams
  • Orbital angular momentum

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    Hsieh, Y. H., Tuan, P. H., Tung, J. C., Liang, H. C., Su, K-W., & Chen, Y-F. (2018). Analytical representation for structured light generated by astigmatic transformation of Hermite-Gaussian beams. In K. Sasaki, T. Omatsu, & H. Ishihara (Eds.), Optical Manipulation Conference [107120Q] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10712). SPIE. https://doi.org/10.1117/12.2319378