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 contributionpeer-review

    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
    Country/TerritoryJapan
    CityYokohama
    Period25/04/1827/04/18

    Keywords

    • Astigmatic transformation
    • Hermite-Gaussian beams
    • Orbital angular momentum
    • ANGULAR-MOMENTUM
    • LASER

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