G. A. Askar’yan, “Effect of the gradient of the strong electromagnetic field of a beam on electrons and atoms,” Zh. Eksperim. Teor. Fiz. 42 (6), 1567–1570 (1962).

MATH  Google Scholar 

V. I. Talanov, ”Self focusing of wave beams in nonlinear media, ” JETP Lett. 2 (5), 218 (1965).

MATH  Google Scholar 

R. Y. Chiao and C. H. Townes, “Stimulated brillouin scattering and coherent generation of intense hypersonic waves,” Phys. Rev. Lett. 12 (21), 592–595 (1964).

Article  ADS  MATH  Google Scholar 

N. F. Pilipetskii and A. R. Rustamov, “Observation of selffocusing of light in liquids,” JETP Lett. 2 (2), 88 (1965).

MATH  Google Scholar 

V. V. Korobkin and A. J. Alcock, “Self-focusing effects associated with laser-induced air breakdown,” Phys. Rev. Lett. 21 (20), 1433–1436 (1968).

Article  ADS  MATH  Google Scholar 

N. G. Basov, P. G. Kryukov, Yu. V. Senatskii, and S. V. Chekalin, “Production of powerful ultrashort light pulses in a neodymium glass laser,” JETP 30 (4), 641–645 (1970).

ADS  Google Scholar 

R. R. Alfano and S. L. Shapiro, “Observation of self-phase modulation and small-scale filaments in crystals and glasses,” Phys. Rev. Lett. 24 (11), 592–594 (1970).

Article  ADS  MATH  Google Scholar 

A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, “Self-channeling of high-peak-power femtosecond laser pulses in air,” Opt. Lett. 20 (1), 73–75 (1995).

Article  ADS  Google Scholar 

H. Wille, M. Rodriguez, J. Kasparian, D. Mondelain, J. Yu, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Woste, “Teramobile: A mobile femtosecond-terawatt laser and detection system,” Europ. Phys. J. Appl. Phys. 20, 183–190 (2002).

Article  ADS  Google Scholar 

J. Kasparian, M. Rodriguez, G. Mejean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. Andre, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Woste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).

Article  ADS  Google Scholar 

S. L. Chin, Y. Chen, O. Kosareva, V. P. Kandidov, and F. Theberge, “What is filament?,” Laser Phys. 18 (8), 962–964 (2008).

Article  ADS  Google Scholar 

F. Theberge, N. Akozbek, W. Liu, A. Becker, and S.-L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97, 023904 (2006).

Article  ADS  Google Scholar 

J. R. Penano, P. Sprangle, P. Serafim, B. Hafizi, and A. Ting, “Simulated Raman scattering of intense laser pulses in air,” Phys. Rev. E: 68, 056502 (2003).

Article  ADS  Google Scholar 

J. R. Penano, P. Sprangle, A. Hafizi, A. Ting, D. F. Gordon, and C. A. Kapetanakos, “Propagation of ultra-short, intense laser pulses in air,” Phys. Plasm. 11 (5), 2865–2874 (2004).

Article  ADS  Google Scholar 

V. P. Kandidov, I. S. Golubtsov, and O. G. Kosareva, “Supercontinuum sources in a high-power femtosecond laserpulse propagating in liquids and gases,” Quantum Electron. 34 (4), 348–354 (2004).

Article  ADS  Google Scholar 

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A: 76 (1), 013826 (2007).

Article  ADS  MATH  Google Scholar 

J.-F. Daigle, O. Kosareva, N. Panov, T.-J. Wang, S. Hosseini, S. Yuan, G. Roy, and S. L. Chin, “Formation and evolution of intense, post-filamentation, ionization-free low divergence beams,” Opt. Commun. 284, 3601–3606 (2011).

Article  ADS  Google Scholar 

J.-F. Daigle, T.-J. Wang, S. Hosseini, Sh. Yuan, G. Roy, and S.-L. Chin, “Dynamic behavior of postfilamentation Raman pulses,” Appl. Opt. 50 (33), 6234–6238 (2011).

Article  ADS  Google Scholar 

H. Kawano, Y. Hirakawa, and T. Imasaka, “Generation of high-order rotational lines in hydrogen by four-wave raman mixing in femtosecond regime,” IEEE J. Quantum. Electron. 34 (2), 260–268 (1998).

Article  ADS  Google Scholar 

M. V. Kurilova, D. S. Uryupina, A. V. Mazhorova, S. R. Gorgutsa, R. V. Volkov, O. G. Kosareva, and A. B. Savel’ev, “Investigation of the transformation of the spectrum of femtosecond laser radiation on filamentation in gas medium,” Opt. Spectrosc. 107 (3), 429–434 (2009).

Article  ADS  Google Scholar 

F. Theberge, P. Lassonde, S. Payeur, M. Chateauneuf, J. Dubois, and J.-C. Kieffer, “Efficient spectral-step expansion of a filamenting laser pulse,” Opt. Lett. 38 (9), 1576–1578 (2013).

Article  ADS  Google Scholar 

N. G. Ivanov, V. F. Losev, V. E. Prokop’ev, and K. A. Sitnik, “Generation of highly directional supercontinuum in the visible spectrum range,” Opt. Commun. 387, 322–327 (2017).

Article  ADS  Google Scholar 

N. G. Ivanov, V. F. Losev, D. M. Lubenko, V. E. Prokop’ev, and K. A. Sitnik, “Forming of supercontinuum in the visible upon filamentation of a femtosecond pulse in air,” Proc. SPIE—Int. Soc. Opt. Eng. 10228, 1022809–2 (2018).

D. M. Lubenko, N. G. Ivanov, S. V. Alekseev, V. E. Prokopev, and V. F. Losev, “Formation of highly directional white light radiation in air filament,” Bull. Russ. Acad. Sci.: Phys. 84 (7), 766–769 (2020).

Article  Google Scholar 

V. E. Prokop’ev, D. M. Lubenko, and V. F. Losev, “Study of the spatial structure of a femtosecond laser beam in the filamentation domain under aberrational focusing in air,” Opt. Atmos. Okeana 33 (9), 685–689 (2020). https://doi.org/10.15372/AOO20200904

Article  Google Scholar 

D. V. Apeksimov, S. N. Bagaev, Yu. E. Geints, A. A. Zemlyanov, A. M. Kabanov, A. V. Kirpichnikov, Yu. V. Kistinev, G. M. Krekov, M. M. Krekova, G. G. Matvienko, V. K. Oshlakov, E. K. Panina, V. V. Petrov, E. V. Pestryakov, Yu. N. Ponomarev, A. Ya. Sukhanov, B. A. Tikhomirov, V. I. Trunov, S. R. Uogintas, S. A. Frolov, and D. G. Khudorozhkov, Femtosecond Atmospheric Optics, Ed. by S.N. Bagaev and G.G. Matvienko (Publishing House of SB RAS, Novosibirsk, 2010) [in Russian].

Google Scholar 

D. V. Apeksimov, Yu. E. Geints, A. A. Zemlyanov, A. M. Kabanov, G. G. Matvienko, and V. K. Oshlakov, Filamentation of Femtosecond Laser Pulses in Air (Publishing House of IAO SB RAS, Tomsk, 2017) [in Russian].

Google Scholar 

Self-focusing: Past and Present. Fundamentals and Prospects, Ed. by R.W. Boyd, S.G. Lukishova, and Y.R. Shen (Springer, New York, 2009).

MATH  Google Scholar 

F. Theberge, W. Liu, Q. Luo, and S. L. Chin, “Ultrabroadband continuum generated in air (down to 230 nm) using ultrashort and intense laser pulses,” Appl. Phys. B 80, 221–225 (2005).

Article  ADS  Google Scholar 

S. L. Chin, T.-J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J.-F. Daigle, S. Yuan, A. Azarm, W. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22 (1), 1–53 (2011).

Article  ADS  Google Scholar 

D. M. Lubenko and V. E. Prokopev, “Generation of broadband radiation during filamentation of a femtosecond laser pulse in the atmosphere,” J. Siberian Federal University. Math. Phys. 15 (6), 718–723 (2022).

Google Scholar 

I. R. Shen, Principles of Nonlinear Optics (Nauka, Moscow, 1989) [in Russian].

MATH  Google Scholar 

S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (Nauka, Moscow, 1988) [in Russian].

Google Scholar 

G. M. Mikheev, G. V. Venkin, and Yu. A. Ilinsky, “Influence of the polarization of radiation on the energy characteristics and threshold of stimulated Raman scattering due to rotational transitions,” Sov. J. Quantum Electron. 15 (3), 395–397 (1985).

Article  ADS  Google Scholar 

N. Chen, T.-J. Wang, Zh. Zhu, H. Guo, Y. Liu, F. Yin, H. Sun, Yu. Leng, and R. Li, “Laser elepticity-dependent supercontinuum generation by femtosecond laser filamentation in air,” Opt. Lett. 45 (16), 4444–4447 (2020).

Article  ADS  Google Scholar