H. Wang, X. L. Ji, H. Zhang, X. Q. Li, and Y. Deng, “Propagation formulae and characteristics of partially coherent laser beams in nonlinear media,” Opt. Lett. 44(4), 743–746 (2019).

[Crossref]
[PubMed]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

P. Sharma, “Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity,” AIP Conf. Proc. 1670(1), 030029 (2015).

[Crossref]

N. Kant, M. A. Wani, and A. Kumar, “Self-focusing of Hermite-Gaussian laser beam in plasma under plasma density ramp,” Opt. Commun. 285(21–22), 4483–4487 (2012).

[Crossref]

A. M. Rubenchik, M. P. Fedoruk, and S. K. Turitsyn, “Laser beam self-focusing in the atmosphere,” Phys. Rev. Lett. 102(23), 233902 (2009).

[Crossref]
[PubMed]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

T. Singh, N. S. Saini, and S. S. Kaul, “Dynamics of self-focusing and self-phase modulation of elliptics Gaussian laser beam in a kerr-medium,” Pramana-J. Phys. 55(3), 423–431 (2000).

H. Weber, “Propagation of higher-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24(9), 1027–1049 (1992).

[Crossref]

E. M. Vogel, M. J. Weber, and D. M. Krol, “Nonlinear optical phenomena in glass,” Phys. Chem. Glasses 32(6), 231–254 (1991).

A. E. Siegman, “New developments in laser resonators,” Proc. SPIE 1224, 2–15 (1990).

[Crossref]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self focusing in nonlinear media,” Opt. Commun. 75(2), 129–135 (1990).

[Crossref]

J. H. Marburger, “Self-focusing: theory,” Prog. Quantum Electron. 4, 35–110 (1975).

[Crossref]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).

[Crossref]

V. I. Talanov, “Self focusing of wave beams in nonlinear media,” JETP Lett. 2(5), 138–140 (1965).

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

Y. Cao and C. Huang, “Variational investigation of dipole solitons in nonlocal thermal media,” in Proceedings of 2011 International Conference on Electronics and Optoelectronics (IEEE, 2011), 4, pp. 190–192.

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).

[Crossref]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self focusing in nonlinear media,” Opt. Commun. 75(2), 129–135 (1990).

[Crossref]

H. Wang, X. L. Ji, H. Zhang, X. Q. Li, and Y. Deng, “Propagation formulae and characteristics of partially coherent laser beams in nonlinear media,” Opt. Lett. 44(4), 743–746 (2019).

[Crossref]
[PubMed]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

A. M. Rubenchik, M. P. Fedoruk, and S. K. Turitsyn, “Laser beam self-focusing in the atmosphere,” Phys. Rev. Lett. 102(23), 233902 (2009).

[Crossref]
[PubMed]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).

[Crossref]

Y. Cao and C. Huang, “Variational investigation of dipole solitons in nonlocal thermal media,” in Proceedings of 2011 International Conference on Electronics and Optoelectronics (IEEE, 2011), 4, pp. 190–192.

H. Wang, X. L. Ji, H. Zhang, X. Q. Li, and Y. Deng, “Propagation formulae and characteristics of partially coherent laser beams in nonlinear media,” Opt. Lett. 44(4), 743–746 (2019).

[Crossref]
[PubMed]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

N. Kant, M. A. Wani, and A. Kumar, “Self-focusing of Hermite-Gaussian laser beam in plasma under plasma density ramp,” Opt. Commun. 285(21–22), 4483–4487 (2012).

[Crossref]

T. Singh, N. S. Saini, and S. S. Kaul, “Dynamics of self-focusing and self-phase modulation of elliptics Gaussian laser beam in a kerr-medium,” Pramana-J. Phys. 55(3), 423–431 (2000).

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

E. M. Vogel, M. J. Weber, and D. M. Krol, “Nonlinear optical phenomena in glass,” Phys. Chem. Glasses 32(6), 231–254 (1991).

N. Kant, M. A. Wani, and A. Kumar, “Self-focusing of Hermite-Gaussian laser beam in plasma under plasma density ramp,” Opt. Commun. 285(21–22), 4483–4487 (2012).

[Crossref]

H. Wang, X. L. Ji, H. Zhang, X. Q. Li, and Y. Deng, “Propagation formulae and characteristics of partially coherent laser beams in nonlinear media,” Opt. Lett. 44(4), 743–746 (2019).

[Crossref]
[PubMed]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self focusing in nonlinear media,” Opt. Commun. 75(2), 129–135 (1990).

[Crossref]

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

J. H. Marburger, “Self-focusing: theory,” Prog. Quantum Electron. 4, 35–110 (1975).

[Crossref]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

A. M. Rubenchik, M. P. Fedoruk, and S. K. Turitsyn, “Laser beam self-focusing in the atmosphere,” Phys. Rev. Lett. 102(23), 233902 (2009).

[Crossref]
[PubMed]

T. Singh, N. S. Saini, and S. S. Kaul, “Dynamics of self-focusing and self-phase modulation of elliptics Gaussian laser beam in a kerr-medium,” Pramana-J. Phys. 55(3), 423–431 (2000).

P. Sharma, “Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity,” AIP Conf. Proc. 1670(1), 030029 (2015).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

A. E. Siegman, “New developments in laser resonators,” Proc. SPIE 1224, 2–15 (1990).

[Crossref]

T. Singh, N. S. Saini, and S. S. Kaul, “Dynamics of self-focusing and self-phase modulation of elliptics Gaussian laser beam in a kerr-medium,” Pramana-J. Phys. 55(3), 423–431 (2000).

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

V. I. Talanov, “Self focusing of wave beams in nonlinear media,” JETP Lett. 2(5), 138–140 (1965).

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).

[Crossref]

A. M. Rubenchik, M. P. Fedoruk, and S. K. Turitsyn, “Laser beam self-focusing in the atmosphere,” Phys. Rev. Lett. 102(23), 233902 (2009).

[Crossref]
[PubMed]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

E. M. Vogel, M. J. Weber, and D. M. Krol, “Nonlinear optical phenomena in glass,” Phys. Chem. Glasses 32(6), 231–254 (1991).

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

N. Kant, M. A. Wani, and A. Kumar, “Self-focusing of Hermite-Gaussian laser beam in plasma under plasma density ramp,” Opt. Commun. 285(21–22), 4483–4487 (2012).

[Crossref]

H. Weber, “Propagation of higher-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24(9), 1027–1049 (1992).

[Crossref]

E. M. Vogel, M. J. Weber, and D. M. Krol, “Nonlinear optical phenomena in glass,” Phys. Chem. Glasses 32(6), 231–254 (1991).

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self focusing in nonlinear media,” Opt. Commun. 75(2), 129–135 (1990).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

P. Sharma, “Self-focusing of Hermite-Gaussian laser beam with relativistic nonlinearity,” AIP Conf. Proc. 1670(1), 030029 (2015).

[Crossref]

D. Udayakumar, A. J. Kiran, A. V. Adhikari, K. Chandrasekharan, G. Umesh, and H. D. Shashikala, “Third-order nonlinear optical studies of newly synthesized polyoxadiazoles containing 3,4-dialkoxythiophenes,” Chem. Phys. 331(1), 125–130 (2006).

[Crossref]

V. I. Talanov, “Self focusing of wave beams in nonlinear media,” JETP Lett. 2(5), 138–140 (1965).

F. Cornolti, M. Lucchesi, and B. Zambon, “Elliptic Gaussian beam self focusing in nonlinear media,” Opt. Commun. 75(2), 129–135 (1990).

[Crossref]

X. Wang, Q. Wang, J. Yang, and J. Mao, “Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response,” Opt. Commun. 402, 20–25 (2017).

[Crossref]

Z. Liu, W. Zang, J. Tian, W. Zhou, C. Zhang, and G. Zhang, “Analysis of Z-scan of thick media with high-order nonlinearity by variational approach,” Opt. Commun. 219(1–6), 411–419 (2003).

[Crossref]

N. Kant, M. A. Wani, and A. Kumar, “Self-focusing of Hermite-Gaussian laser beam in plasma under plasma density ramp,” Opt. Commun. 285(21–22), 4483–4487 (2012).

[Crossref]

M. V. Takale, S. T. Navare, S. D. Patil, V. J. Fulari, and M. B. Dongare, “Self-focusing and defocusing of TEM0P Hermite-Gaussian laser beams in collisionless plasma,” Opt. Commun. 282(15), 3157–3162 (2009).

[Crossref]

L. Wang, X. L. Ji, Y. Deng, X. Q. Li, T. Wang, X. L. Fan, and H. Yu, “Self-focusing effect on the characteristics of Airy beams,” Opt. Commun. 441, 190–194 (2019).

[Crossref]

H. Weber, “Propagation of higher-order intensity moments in quadratic-index media,” Opt. Quantum Electron. 24(9), 1027–1049 (1992).

[Crossref]

E. M. Vogel, M. J. Weber, and D. M. Krol, “Nonlinear optical phenomena in glass,” Phys. Chem. Glasses 32(6), 231–254 (1991).

A. M. Rubenchik, M. P. Fedoruk, and S. K. Turitsyn, “Laser beam self-focusing in the atmosphere,” Phys. Rev. Lett. 102(23), 233902 (2009).

[Crossref]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13(15), 479–482 (1964).

[Crossref]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15(26), 1005–1008 (1965).

[Crossref]

T. Singh, N. S. Saini, and S. S. Kaul, “Dynamics of self-focusing and self-phase modulation of elliptics Gaussian laser beam in a kerr-medium,” Pramana-J. Phys. 55(3), 423–431 (2000).

A. E. Siegman, “New developments in laser resonators,” Proc. SPIE 1224, 2–15 (1990).

[Crossref]

J. H. Marburger, “Self-focusing: theory,” Prog. Quantum Electron. 4, 35–110 (1975).

[Crossref]

R. W. Boyd, Nonlinear optics (Academic, 2008).

Y. Cao and C. Huang, “Variational investigation of dipole solitons in nonlocal thermal media,” in Proceedings of 2011 International Conference on Electronics and Optoelectronics (IEEE, 2011), 4, pp. 190–192.

G. P. Agrawal, Nonlinear fiber optics (Academic, 1995), Chap. 2.

A. E. Siegman, Lasers (University Science Books, 1986).