Generating laser transverse modes analogous to quantum Green’s functions of two-dimensional harmonic oscillators
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.
基金项目：Ministry of Science and Technology, Taiwan (MOST)10.13039/501100004663 (106-2628-M-009-001); Japan Society for the Promotion of Science (JSPS)10.13039/501100001691 (JP 15H03571, JP 15K13373, JP 16H06507).
Y. H. Hsieh：Department of Electrophysics, National Chiao Tung University, 1001 Ta-Hsueh Rd., Hsinchu 30010, Taiwan
T. Omatsu：Graduate School of Engineering, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, JapanMolecular Chirality Research Center, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
K. F. Huang：Department of Electrophysics, National Chiao Tung University, 1001 Ta-Hsueh Rd., Hsinchu 30010, Taiwan
Y. F. Chen：Department of Electrophysics, National Chiao Tung University, 1001 Ta-Hsueh Rd., Hsinchu 30010, Taiwan
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J. C. Tung, Y. H. Hsieh, T. Omatsu, K. F. Huang, and Y. F. Chen, "Generating laser transverse modes analogous to quantum Green’s functions of two-dimensional harmonic oscillators," Photonics Research 5(6), 733-739 (2017)