• Photonics Research
  • Vol. 5, Issue 6, 733 (2017)
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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    DOI: 10.1364/PRJ.5.000733 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    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).
    Fig. 1. 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.
    Fig. 2. 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.
    Fig. 3. 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.
    Fig. 4. 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.
    Fig. 5. 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.
    Fig. 6. 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.
    Fig. 7. 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.
    Fig. 8. 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.
    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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