Yu. E. Geints, A. A. Zemlyanov, and O. V. Minina, “Diffraction-Beam Optics of Filamentation. I. Formalism of Diffraction Beams and Light Tubes,” Atmos. Ocean. Opt. 31 (6), 581–588 (2018).
S. G. Rautian, Quasi-beam tubes, Opt. Spektrosk. 87 (3), 494–496 (1999).
A. A. Gershun, Selected Papers on Photometry and Lighting Engineering (Fizmatgiz, Moscow, 1958) [in Russian].
A. A. Zemlyanov, A. D. Bulygin, Yu. E. Geints, and O. V. Minina, “Dynamics of light structures during filamentationof femtosecond laser pulses in air,” Atmos. Ocean. Opt. 29 (5), 395–404 (2016).
Self-focusing: Past and Present. Fundamentals and Prospects, Ed. By R.W. Boyd, S.G. Lukishova, and Y.R. Shen (Springer, Berlin, 2009).
M. Mlejnek, E. M. Wright, and J. V. Moloney, “Dynamic spatial replenishment of femtosecond pulses propagating in air,” Opt. Lett. 23, 382–384 (1998).
Yu. E. Geints and A. A. Zemlyanov, “Ring-Gaussian laser pulse filamentation in a self-induced diffraction waveguide,” J. Opt. 19, 105502 (2017).
A. L. Mikaelyan, “Optical wave guides with variable refractive index,” Opt. Spektrosk. 44 (2), 370–378 (1978).
V. I. Talanov, “Self-focusing of wave beams in nonlinear media,” JETP Lett. 2 (5), 138–140 (1965).
W. Liu, J. -F. Gravel, F. Theberge, A. Becker, and S. L. Chin, “Background reservoir: Its crucial role for long-distance propagation of femtosecond laser pulses in air,” Appl. Phys. B 80, 857–860 (2005).
A. E. Siegman, Defining and Measuring Laser Beam Quality, Solid State Lasers: New Developments and Applications (Plenum Press, New York, 1994).
Yu. E. Geints and A. A. Zemlyanov, “On the focusing limit of high-power femtosecond laser pulse propagation in air,” Eur. Phys. J. D 55, 745–754 (2009).
G. Fibich and A. Gaeta, “Critical power for selffocusing in bulk media and in hollow waveguides,” Opt. Lett. 25, 335–337 (2000).
Yu. E. Geints, A. A. Ionin, D. V. Mokrousova, L. V. Seleznev, D. V. Sinitsyn, E. S. Sunchugasheva, and A. A. Zemlyanov, “High intensive light channels formation in post-filamentation region of ultrashort laser pulses in air,” J. Opt. 18, 095503 (2016).
G. Mechain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, “Organizing multiple femtosecond filaments in air,” Phys. Rev. Lett. 93, 035003 (2004).
D. V. Apeksimov, Yu. E. Geints, A. A. Zemlyanov, A. M. Kabanov, G. G. Matvienko, V. K. Oshlakov, and A. N. Stepanov, “Effective parameters of terawatt femtosecond laser radiation on a horizontal atmospheric path,” Atmos. Ocean. Opt. 24 (2), 165–172 (2011).