Theoretical and experimental studies on the self-reconstruction property of non-diffracting Mathieu beam | Zendy

Dong Li | Zendy; Wu Feng-Tie | Zendy; Xie Xiao-Xia | Zendy; Chuan Sun | Zendy

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Theoretical and experimental studies on the self-reconstruction property of non-diffracting Mathieu beam

Author(s) -

Dong Li,

Wu Feng-Tie,

Xie Xiao-Xia,

Chuan Sun

Publication year - 2015

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.64.014201

Subject(s) - mathieu function , axicon , opacity , beam (structure) , physics , diffraction , optics , laser beams , quantum mechanics , laser

Self-reconstruction properties of the Mathieu beam are studied theoretically and experimentally. By means of the Mathieu-Hankel wave's theory, the self-reconstruction mechanism of Mathieu beam is analyzed. Based on the Fresnel diffraction theory, an analytical expression for the optical field of a Mathieu beam partially blocked by a circular opaque obstacle is derived, and the self-reconstruction process of Mathieu beam is simulated based on the analytical expression. Using a cylindrical lens and an axicon system to generate Mathieu beam, the self-reconstruction properties of the Mathieu beam partially blocked by a circular opaque obstacle on axis and off axis are verified. Experimental results agree well with the theoretical analysis.

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