Photonics Research, Volume. 5, Issue 6, 733(2017)

Generating laser transverse modes analogous to quantum Green’s functions of two-dimensional harmonic oscillators

J. C. Tung1,2, Y. H. Hsieh3, T. Omatsu1,2, K. F. Huang3, and Y. F. Chen3、*
Author Affiliations
  • 1Graduate School of Engineering, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
  • 2Molecular Chirality Research Center, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
  • 3Department of Electrophysics, National Chiao Tung University, 1001 Ta-Hsueh Rd., Hsinchu 30010, Taiwan
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    Figures & Tables(8)
    Calculated results to display the correspondence between quantum Green’s functions and classical periodic-orbit bundles for two cases: (a) (x˜s,y˜s)=(0,0) and (b) (x˜s,y˜s)=(0,2.6).
    Numerical calculations for the relationship between the pump-to-mode size ratio and the coefficient |bn,m|2 in the y direction for the location of the excitation source at (a) y˜s=0, (b) y˜s=1, and (c) y˜s=2.6.
    Experimental setup for a solid-state laser selectively end-pumped by a laser diode in a nearly hemispherical cavity.
    Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,0). Bottom: theoretical patterns |GN(x˜,y˜;0)| for comparison.
    Calculation result for the coefficient cn,m as a function of the transverse order m of eigenmodes with various pump positions y˜s in the y direction.
    Transformed patterns for the lasing modes in Figs. 4(c) and 4(d). Right side: numerically reconstructed patterns.
    Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,1). Bottom: theoretical patterns |GN(x˜,y˜;1)| for comparison.
    Experimental results for the output power and the lasing modes obtained by varying the pump power Pin for the source at (x˜s,y˜s)=(0,2.6). Bottom: theoretical patterns |GN(x˜,y˜;2.6)| for comparison.
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    J. C. Tung, Y. H. Hsieh, T. Omatsu, K. F. Huang, Y. F. Chen. Generating laser transverse modes analogous to quantum Green’s functions of two-dimensional harmonic oscillators[J]. Photonics Research, 2017, 5(6): 733

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    Paper Information

    Category: Lasers and Laser Optics

    Received: Oct. 5, 2017

    Accepted: Oct. 29, 2017

    Published Online: Jan. 10, 2019

    The Author Email: Y. F. Chen (yfchen@cc.nctu.edu.tw)

    DOI:10.1364/PRJ.5.000733

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