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    Journals >Photonics Research >Volume 5 >Issue 6 >Page 733 > Article
    • Photonics Research
    • Vol. 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
    • show less
    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," Photonics Res. 5, 733 (2017) Copy Citation Text show less

    Abstract

    We theoretically analyzed the relationship between quantum Green’s functions of two-dimensional harmonic oscillators and radial-order Laguerre–Gaussian laser modes of spherical resonators. By using a nearly hemispherical resonator and a tight focusing in the end-pumped solid-state laser, we successfully generated various laser transverse modes analogous to quantum Green’s functions. We further experimentally and numerically verified that the transverse order associated with quantum Green’s functions is noticeably raised with increasing the pump power induced by the thermal effect. More importantly, the high lasing efficiency and the salient structure enable the present laser source to be used in exploring the light–matter interaction.

    Keywords

    4. CONCLUSIONS

    In summary, we have theoretically explored the pattern formation of quantum Green’s functions with the point excitation. The point-excited resonant mode has been verified to be exactly the radial-order LGp,0 mode that can be asymptotic to the zero-order Bessel beam in the limit p→∞. In the experiment, an end-pumped solid-state laser with a nearly hemispherical resonator was employed to generate the tightly excited resonant modes from low to very high orders in an efficient way. It is believed that the present finding not only creates an important innovation to generate the structured beams for laser applications but also provides a remarkable method to visualize the quantum–classical correspondence.

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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," Photonics Res. 5, 733 (2017)
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