Y. F. Chen, J. C. Tung, P. H. Tuan, Y. T. Yu, H. C. Liang, and K. F. Huang, “Characterizing classical periodic orbits from quantum Green’s functions in two-dimensional integrable systems: harmonic oscillators and quantum billiards,” Phys. Rev. E 95, 012217 (2017).

[Crossref]

J. C. Tung, P. H. Tuan, H. C. Liang, K. F. Huang, and Y. F. Chen, “Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves,” Phys. Rev. A 94, 023811 (2016).

[Crossref]

J. Dong, S. C. Bai, S. H. Liu, K. I. Ueda, and A. A. Kaminskii, “A high repetition rate passively Q-switched microchip laser for controllable transverse laser modes,” J. Opt. 18, 055205 (2016).

[Crossref]

J. Dong, Y. He, S. C. Bai, K. I. Ueda, and A. A. Kaminskii, “A Cr4+:YAG passively Q-switched Nd:YVO4 microchip laser for controllable high-order Hermite–Gaussian modes,” Laser Phys. 26, 095004 (2016).

[Crossref]

J. Dong, Y. He, X. Zhou, and S. Bai, “Highly efficient, versatile, self-Q-switched, high-repetition-rate microchip laser generating Ince–Gaussian modes for optical trapping,” Quantum Electron. 46, 218–222 (2016).

[Crossref]

H. S. He, M. M. Zhang, J. Dong, and K. I. Ueda, “Linearly polarized pumped passively Q-switched Nd:YVO4 microchip laser for Ince–Gaussian laser modes with controllable orientations,” J. Opt. 18, 055205 (2016).

[Crossref]

A. Hu, J. Lei, P. Chen, Y. Wang, and S. Li, “Numerical investigation on the generation of high-order Laguerre–Gaussian beams in end-pumped solid-state lasers by introducing loss control,” Appl. Opt. 53, 7845–7853 (2014).

[Crossref]

N. Barré, M. Romanelli, and M. Brunel, “Role of cavity degeneracy for high-order mode excitation in end-pumped solid-state lasers,” Opt. Lett. 39, 1022–1025 (2014).

[Crossref]

S. Ngcobo, K. Aït-Ameur, N. Passilly, A. Hasnaoui, and A. Forbes, “Exciting higher-order radial Laguerre–Gaussian modes in a diode-pumped solid-state laser resonator,” Appl. Opt. 52, 2093–2101 (2013).

[Crossref]

J. Courtois, A. Mohamed, and D. Romanini, “Degenerate astigmatic cavities,” Phys. Rev. A 88, 043844 (2013).

[Crossref]

M. Woerdemann, C. Alpmann, M. Esseling, and C. Denz, “Advanced optical trapping by complex beam shaping,” Laser Photon. Rev. 7, 839–854 (2013).

[Crossref]

W. N. Plick, M. Krenn, R. Fickler, S. Ramelow, and A. Zeilinger, “Quantum orbital angular momentum of elliptically symmetric light,” Phys. Rev. A 87, 033806 (2013).

[Crossref]

Y. T. Yu, P. H. Tuan, P. Y. Chiang, H. C. Liang, K. F. Huang, and Y. F. Chen, “Wave pattern and weak localization of chaotic versus scarred modes in stadium-shaped surface-emitting lasers,” Phys. Rev. E 84, 056201 (2011).

[Crossref]

A. Hasnaoui, A. Bencheikh, and K. Aït-Ameur, “Tailored TEMp0 beams for large size 3-D laser prototyping,” Opt. Lasers Eng. 49, 248–251 (2011).

[Crossref]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Giant optical manipulation,” Phys. Rev. Lett. 105, 118103 (2010).

[Crossref]

A. Yu Okulov, “Twisted speckle entities inside wavefront reversal mirrors,” Phys. Rev. A 80, 013837 (2009).

[Crossref]

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[Crossref]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).

[Crossref]

T. Ohtomo, K. Kamikariya, K. Otsuka, and S. Chu, “Single-frequency Ince–Gaussian mode operations of laser-diode-pumped microchip solid-state lasers,” Opt. Express 15, 10705–10717 (2007).

[Crossref]

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[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

Y. F. Chen, T. H. Lu, K. W. Su, and K. F. Huang, “Devil’s staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces,” Phys. Rev. Lett. 96, 213902 (2006).

[Crossref]

Y. F. Chen, Y. P. Lan, and K. F. Huang, “Observation of quantum-classical correspondence from high-order transverse patterns,” Phys. Rev. A 68, 043803 (2003).

[Crossref]

K. F. Huang, Y. F. Chen, H. C. Lai, and Y. P. Lan, “Observation of the wave function of a quantum billiard from the transverse patterns of vertical cavity surface emitting lasers,” Phys. Rev. Lett. 89, 224102 (2002).

[Crossref]

Y. F. Chen and Y. P. Lan, “Transverse pattern formation of optical vortices in a microchip laser with a large Fresnel number,” Phys. Rev. A 65, 013802 (2001).

[Crossref]

Y. F. Chen and Y. P. Lan, “Dynamics of the Laguerre Gaussian TEM0,l* mode in a solid-state laser,” Phys. Rev. A 63, 063807 (2001).

[Crossref]

V. B. Taranenko, K. Staliunas, and C. O. Weiss, “Pattern formation and localized structures in degenerate optical parametric mixing,” Phys. Rev. Lett. 81, 2236–2239 (1998).

[Crossref]

Y. F. Chen, T. M. Huang, C. F. Kao, C. L. Wang, and S. C. Wang, “Generation of Hermite–Gaussian modes in fiber-coupled laser-diode end-pumped lasers,” IEEE J. Quantum Electron. 33, 1025–1031 (1997).

[Crossref]

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[Crossref]

E. Louvergneaux, D. Hennequin, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phys. Rev. A 53, 4435–4438 (1996).

[Crossref]

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996).

[Crossref]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).

[Crossref]

D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, “Two-dimensional optical lattices in a CO2 laser,” Phys. Rev. A 46, 5955–5958 (1992).

[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).

[Crossref]

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, “Transverse laser patterns. I. Phase singularity crystals,” Phys. Rev. A 43, 5090–5113 (1991).

[Crossref]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[Crossref]

J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” J. Phys. C 6, 1181–1203 (1973).

[Crossref]

V. L. Berezinskii, “Destruction of long-range order in one-dimensional and two-dimensional systems having a continuous symmetry group II. Quantum systems,” Sov. Phys. J. Exp. Theor. Phys. 34, 610–616 (1972).

G. S. Agarwal and J. Banerji, “Entanglement by linear SU(2) transformations: generation and evolution of quantum vortex states,” J. Phys. A 39, 11503–11519 (2006).

[Crossref]

S. Ngcobo, K. Aït-Ameur, N. Passilly, A. Hasnaoui, and A. Forbes, “Exciting higher-order radial Laguerre–Gaussian modes in a diode-pumped solid-state laser resonator,” Appl. Opt. 52, 2093–2101 (2013).

[Crossref]

A. Hasnaoui, A. Bencheikh, and K. Aït-Ameur, “Tailored TEMp0 beams for large size 3-D laser prototyping,” Opt. Lasers Eng. 49, 248–251 (2011).

[Crossref]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).

[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).

[Crossref]

M. Woerdemann, C. Alpmann, M. Esseling, and C. Denz, “Advanced optical trapping by complex beam shaping,” Laser Photon. Rev. 7, 839–854 (2013).

[Crossref]

J. Dong, Y. He, X. Zhou, and S. Bai, “Highly efficient, versatile, self-Q-switched, high-repetition-rate microchip laser generating Ince–Gaussian modes for optical trapping,” Quantum Electron. 46, 218–222 (2016).

[Crossref]

J. Dong, S. C. Bai, S. H. Liu, K. I. Ueda, and A. A. Kaminskii, “A high repetition rate passively Q-switched microchip laser for controllable transverse laser modes,” J. Opt. 18, 055205 (2016).

[Crossref]

J. Dong, Y. He, S. C. Bai, K. I. Ueda, and A. A. Kaminskii, “A Cr4+:YAG passively Q-switched Nd:YVO4 microchip laser for controllable high-order Hermite–Gaussian modes,” Laser Phys. 26, 095004 (2016).

[Crossref]

G. S. Agarwal and J. Banerji, “Entanglement by linear SU(2) transformations: generation and evolution of quantum vortex states,” J. Phys. A 39, 11503–11519 (2006).

[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, “Transverse laser patterns. I. Phase singularity crystals,” Phys. Rev. A 43, 5090–5113 (1991).

[Crossref]

M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, “Astigmatic laser mode converters and transfer of orbital angular momentum,” Opt. Commun. 96, 123–132 (1993).

[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).

[Crossref]

A. Hasnaoui, A. Bencheikh, and K. Aït-Ameur, “Tailored TEMp0 beams for large size 3-D laser prototyping,” Opt. Lasers Eng. 49, 248–251 (2011).

[Crossref]

V. L. Berezinskii, “Destruction of long-range order in one-dimensional and two-dimensional systems having a continuous symmetry group II. Quantum systems,” Sov. Phys. J. Exp. Theor. Phys. 34, 610–616 (1972).

M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Prati, C. Tamm, and C. O. Weiss, “Transverse laser patterns. I. Phase singularity crystals,” Phys. Rev. A 43, 5090–5113 (1991).

[Crossref]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).

[Crossref]

Y. F. Chen, J. C. Tung, P. H. Tuan, Y. T. Yu, H. C. Liang, and K. F. Huang, “Characterizing classical periodic orbits from quantum Green’s functions in two-dimensional integrable systems: harmonic oscillators and quantum billiards,” Phys. Rev. E 95, 012217 (2017).

[Crossref]

J. C. Tung, P. H. Tuan, H. C. Liang, K. F. Huang, and Y. F. Chen, “Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves,” Phys. Rev. A 94, 023811 (2016).

[Crossref]

Y. T. Yu, P. H. Tuan, P. Y. Chiang, H. C. Liang, K. F. Huang, and Y. F. Chen, “Wave pattern and weak localization of chaotic versus scarred modes in stadium-shaped surface-emitting lasers,” Phys. Rev. E 84, 056201 (2011).

[Crossref]

Y. F. Chen, T. H. Lu, K. W. Su, and K. F. Huang, “Devil’s staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces,” Phys. Rev. Lett. 96, 213902 (2006).

[Crossref]

Y. F. Chen, Y. P. Lan, and K. F. Huang, “Observation of quantum-classical correspondence from high-order transverse patterns,” Phys. Rev. A 68, 043803 (2003).

[Crossref]

K. F. Huang, Y. F. Chen, H. C. Lai, and Y. P. Lan, “Observation of the wave function of a quantum billiard from the transverse patterns of vertical cavity surface emitting lasers,” Phys. Rev. Lett. 89, 224102 (2002).

[Crossref]

Y. F. Chen and Y. P. Lan, “Transverse pattern formation of optical vortices in a microchip laser with a large Fresnel number,” Phys. Rev. A 65, 013802 (2001).

[Crossref]

Y. F. Chen and Y. P. Lan, “Dynamics of the Laguerre Gaussian TEM0,l* mode in a solid-state laser,” Phys. Rev. A 63, 063807 (2001).

[Crossref]

Y. F. Chen, T. M. Huang, C. F. Kao, C. L. Wang, and S. C. Wang, “Generation of Hermite–Gaussian modes in fiber-coupled laser-diode end-pumped lasers,” IEEE J. Quantum Electron. 33, 1025–1031 (1997).

[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

Y. T. Yu, P. H. Tuan, P. Y. Chiang, H. C. Liang, K. F. Huang, and Y. F. Chen, “Wave pattern and weak localization of chaotic versus scarred modes in stadium-shaped surface-emitting lasers,” Phys. Rev. E 84, 056201 (2011).

[Crossref]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).

[Crossref]

J. Courtois, A. Mohamed, and D. Romanini, “Degenerate astigmatic cavities,” Phys. Rev. A 88, 043844 (2013).

[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

E. Louvergneaux, D. Hennequin, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phys. Rev. A 53, 4435–4438 (1996).

[Crossref]

D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, “Two-dimensional optical lattices in a CO2 laser,” Phys. Rev. A 46, 5955–5958 (1992).

[Crossref]

M. Woerdemann, C. Alpmann, M. Esseling, and C. Denz, “Advanced optical trapping by complex beam shaping,” Laser Photon. Rev. 7, 839–854 (2013).

[Crossref]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Giant optical manipulation,” Phys. Rev. Lett. 105, 118103 (2010).

[Crossref]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams,” Phys. Rev. Lett. 99, 213901 (2007).

[Crossref]

J. Dong, S. C. Bai, S. H. Liu, K. I. Ueda, and A. A. Kaminskii, “A high repetition rate passively Q-switched microchip laser for controllable transverse laser modes,” J. Opt. 18, 055205 (2016).

[Crossref]

J. Dong, Y. He, S. C. Bai, K. I. Ueda, and A. A. Kaminskii, “A Cr4+:YAG passively Q-switched Nd:YVO4 microchip laser for controllable high-order Hermite–Gaussian modes,” Laser Phys. 26, 095004 (2016).

[Crossref]

J. Dong, Y. He, X. Zhou, and S. Bai, “Highly efficient, versatile, self-Q-switched, high-repetition-rate microchip laser generating Ince–Gaussian modes for optical trapping,” Quantum Electron. 46, 218–222 (2016).

[Crossref]

H. S. He, M. M. Zhang, J. Dong, and K. I. Ueda, “Linearly polarized pumped passively Q-switched Nd:YVO4 microchip laser for Ince–Gaussian laser modes with controllable orientations,” J. Opt. 18, 055205 (2016).

[Crossref]

D. Dragoman and M. Dragoman, Quantum-Classical Analogies (Springer, 2004).

D. Dragoman and M. Dragoman, Quantum-Classical Analogies (Springer, 2004).

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[Crossref]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).

[Crossref]

M. Woerdemann, C. Alpmann, M. Esseling, and C. Denz, “Advanced optical trapping by complex beam shaping,” Laser Photon. Rev. 7, 839–854 (2013).

[Crossref]

W. N. Plick, M. Krenn, R. Fickler, S. Ramelow, and A. Zeilinger, “Quantum orbital angular momentum of elliptically symmetric light,” Phys. Rev. A 87, 033806 (2013).

[Crossref]

E. Louvergneaux, D. Hennequin, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phys. Rev. A 53, 4435–4438 (1996).

[Crossref]

D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, “Two-dimensional optical lattices in a CO2 laser,” Phys. Rev. A 46, 5955–5958 (1992).

[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

S. Ngcobo, K. Aït-Ameur, N. Passilly, A. Hasnaoui, and A. Forbes, “Exciting higher-order radial Laguerre–Gaussian modes in a diode-pumped solid-state laser resonator,” Appl. Opt. 52, 2093–2101 (2013).

[Crossref]

A. Hasnaoui, A. Bencheikh, and K. Aït-Ameur, “Tailored TEMp0 beams for large size 3-D laser prototyping,” Opt. Lasers Eng. 49, 248–251 (2011).

[Crossref]

H. S. He, M. M. Zhang, J. Dong, and K. I. Ueda, “Linearly polarized pumped passively Q-switched Nd:YVO4 microchip laser for Ince–Gaussian laser modes with controllable orientations,” J. Opt. 18, 055205 (2016).

[Crossref]

J. Dong, Y. He, X. Zhou, and S. Bai, “Highly efficient, versatile, self-Q-switched, high-repetition-rate microchip laser generating Ince–Gaussian modes for optical trapping,” Quantum Electron. 46, 218–222 (2016).

[Crossref]

J. Dong, Y. He, S. C. Bai, K. I. Ueda, and A. A. Kaminskii, “A Cr4+:YAG passively Q-switched Nd:YVO4 microchip laser for controllable high-order Hermite–Gaussian modes,” Laser Phys. 26, 095004 (2016).

[Crossref]

E. Louvergneaux, D. Hennequin, D. Dangoisse, and P. Glorieux, “Transverse mode competition in a CO2 laser,” Phys. Rev. A 53, 4435–4438 (1996).

[Crossref]

D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, “Two-dimensional optical lattices in a CO2 laser,” Phys. Rev. A 46, 5955–5958 (1992).

[Crossref]

N. Hodgson and H. Weber, Laser Resonators and Beam Propagation (Springer, 2005).

P. Holland, The Quantum Theory of Motion (Cambridge University, 1993).

Y. F. Chen, J. C. Tung, P. H. Tuan, Y. T. Yu, H. C. Liang, and K. F. Huang, “Characterizing classical periodic orbits from quantum Green’s functions in two-dimensional integrable systems: harmonic oscillators and quantum billiards,” Phys. Rev. E 95, 012217 (2017).

[Crossref]

J. C. Tung, P. H. Tuan, H. C. Liang, K. F. Huang, and Y. F. Chen, “Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves,” Phys. Rev. A 94, 023811 (2016).

[Crossref]

Y. T. Yu, P. H. Tuan, P. Y. Chiang, H. C. Liang, K. F. Huang, and Y. F. Chen, “Wave pattern and weak localization of chaotic versus scarred modes in stadium-shaped surface-emitting lasers,” Phys. Rev. E 84, 056201 (2011).

[Crossref]

Y. F. Chen, T. H. Lu, K. W. Su, and K. F. Huang, “Devil’s staircase in three-dimensional coherent waves localized on Lissajous parametric surfaces,” Phys. Rev. Lett. 96, 213902 (2006).

[Crossref]

Y. F. Chen, Y. P. Lan, and K. F. Huang, “Observation of quantum-classical correspondence from high-order transverse patterns,” Phys. Rev. A 68, 043803 (2003).

[Crossref]

K. F. Huang, Y. F. Chen, H. C. Lai, and Y. P. Lan, “Observation of the wave function of a quantum billiard from the transverse patterns of vertical cavity surface emitting lasers,” Phys. Rev. Lett. 89, 224102 (2002).

[Crossref]

Y. F. Chen, T. M. Huang, C. F. Kao, C. L. Wang, and S. C. Wang, “Generation of Hermite–Gaussian modes in fiber-coupled laser-diode end-pumped lasers,” IEEE J. Quantum Electron. 33, 1025–1031 (1997).

[Crossref]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Giant optical manipulation,” Phys. Rev. Lett. 105, 118103 (2010).

[Crossref]

J. Dong, S. C. Bai, S. H. Liu, K. I. Ueda, and A. A. Kaminskii, “A high repetition rate passively Q-switched microchip laser for controllable transverse laser modes,” J. Opt. 18, 055205 (2016).

[Crossref]

J. Dong, Y. He, S. C. Bai, K. I. Ueda, and A. A. Kaminskii, “A Cr4+:YAG passively Q-switched Nd:YVO4 microchip laser for controllable high-order Hermite–Gaussian modes,” Laser Phys. 26, 095004 (2016).

[Crossref]

Y. F. Chen, T. M. Huang, C. F. Kao, C. L. Wang, and S. C. Wang, “Generation of Hermite–Gaussian modes in fiber-coupled laser-diode end-pumped lasers,” IEEE J. Quantum Electron. 33, 1025–1031 (1997).

[Crossref]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Giant optical manipulation,” Phys. Rev. Lett. 105, 118103 (2010).

[Crossref]

J. M. Kosterlitz and D. J. Thouless, “Ordering, metastability and phase transitions in two-dimensional systems,” J. Phys. C 6, 1181–1203 (1973).

[Crossref]

W. N. Plick, M. Krenn, R. Fickler, S. Ramelow, and A. Zeilinger, “Quantum orbital angular momentum of elliptically symmetric light,” Phys. Rev. A 87, 033806 (2013).

[Crossref]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Giant optical manipulation,” Phys. Rev. Lett. 105, 118103 (2010).

[Crossref]

Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, “Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas,” Nature 441, 1118–1121 (2006).

[Crossref]

H. Laabs and B. Ozygus, “Excitation of Hermite Gaussian modes in end-pumped solid-state lasers via off-axis pumping,” Opt. Laser Technol. 28, 213–214 (1996).

[Crossref]

K. F. Huang, Y. F. Chen, H. C. Lai, and Y. P. Lan, “Observation of the wave function of a quantum billiard from the transverse patterns of vertical cavity surface emitting lasers,” Phys. Rev. Lett. 89, 224102 (2002).

[Crossref]

Y. F. Chen, Y. P. Lan, and K. F. Huang, “Observation of quantum-classical correspondence from high-order transverse patterns,” Phys. Rev. A 68, 043803 (2003).

[Crossref]

K. F. Huang, Y. F. Chen, H. C. Lai, and Y. P. Lan, “Observation of the wave function of a quantum billiard from the transverse patterns of vertical cavity surface emitting lasers,” Phys. Rev. Lett. 89, 224102 (2002).

[Crossref]

Y. F. Chen and Y. P. Lan, “Transverse pattern formation of optical vortices in a microchip laser with a large Fresnel number,” Phys. Rev. A 65, 013802 (2001).

[Crossref]

Y. F. Chen and Y. P. Lan, “Dynamics of the Laguerre Gaussian TEM0,l* mode in a solid-state laser,” Phys. Rev. A 63, 063807 (2001).

[Crossref]

N. N. Lebedev, Special Functions & Their Applications (Dover, 1972).

D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, and P. Glorieux, “Two-dimensional optical lattices in a CO2 laser,” Phys. Rev. A 46, 5955–5958 (1992).

[Crossref]

Y. F. Chen, J. C. Tung, P. H. Tuan, Y. T. Yu, H. C. Liang, and K. F. Huang, “Characterizing classical periodic orbits from quantum Green’s functions in two-dimensional integrable systems: harmonic oscillators and quantum billiards,” Phys. Rev. E 95, 012217 (2017).

[Crossref]

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[Crossref]

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