Abstract
The peculiarities of transformation of transverse structure for singular light beams propagating in a resonant medium have been analyzed theoretically. The influence of nonlinear absorption, self-focusing, and defocusing on the characteristics of optical vortices with different topological structure has been studied. The formation conditions and parameters for singular spatially localized structures have been characterized.
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J. F. Nye and M. V. Berry, Proc. R. Soc. London, A, 336, 165–190 (1974).
B. Ya. Zel’dovich, N. F. Pilipetskii, and V. V. Shkunov, Wave Front Inversion [in Russian], Nauka, Moscow (1985).
M. Brambilla, F. Battipede, L. A. Lugiato, V. Penna, F. Pratti, C. Tamm, and C. O. Weiss, Phys. Rev. A, 43, 5090–5117 (1991).
N. R. Heckenberg, R. McDuff, S. P. Smith, and A. G. White, Opt. Lett., 17, 221–223 (1992).
A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun., 241, 237–247 (2004).
A. Desyatnikov, D. Mihalache, D. Mazilu, B. Malomed, and F. Lederer, Phys. Lett. A, 364, 231–234 (2007).
V. I. Kruglov and R. A. Vlasov, Phys. Lett. A, 111, 401–404 (1985).
Yu. S. Kivshar and B. Luther-Davies, Phys. Rep., 298, 81–197 (1998).
D. V. Skryabin and W. J. Firth, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 58, 3916–3930 (1998).
O. Angelsky, A. Mokhun, I. Mokhun, and M. Soskin, Opt. Commun., 207, 57–65 (2002).
C. Lopez-Mariscal, J. Gutierrez-Vega, D. McGloin, and K. Dholakia, Opt. Express, 15, 6330–6335 (2007).
W. Jiang, Q. Chen, Y. Zhang, and G.-C. Guo, Phys. Rev. A, 74, 043811-1–043811-4 (2006).
N. S. Kazak, E. G. Katranzhi, I. A. Utkin, A. A. Ryzhevich, and A. N. Khilo, Zh. Prikl. Spektrosk., 71, No. 5, 640–643 (2004).
P. I. Ropot and R. Yu. Vasil’ev, Zh. Prikl. Spektrosk., 73, No. 4, 488–493 (2006).
B. B. Sevruk, Zh. Prikl. Spektrosk., 73, No. 5, 626–630 (2006).
I. R. Shen, Principles of Nonlinear Optics [in Russian], Nauka, Moscow (1989).
V. V. Kabanov and A. S. Rubanov, Dokl. Akad. Navuk BSSR, 24, 34–37 (1980).
R. H. Pantell and H. E. Puthoff, Fundamentals of Quantum Electronics, Wiley, New York (1969).
V. K. Saul’ev, Integration of Equations of Parbolic Type by the Method of Nets [in Russian], Fizmatgiz, Moscow (1960).
V. L. Derbov, L. A. Melnikov, A. D. Novikov, and S. K. Potapov, J. Opt. Soc. Am. B: Opt. Phys., 7, 1079–1097 (1990).
Yu. S. Kivshar’ and G. P. Agraval, Optical Solitons. From Fiber Lightguides to Photonic Crystals [in Russian], Fizmatlit, Moscow (2005).
G. A. Swartzlander, Jr., and C. Law, Phys. Rev. Lett., 69, 2503–2506 (1992).
V. Tikhonenko, J. Christou, B. Luther-Davies, and Yu. S. Kivshar, Opt. Lett., 21, 1129–1131 (1996).
Z. Chen, M. Shih, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, Opt. Lett., 22, 1751–1753 (1997).
W. J. Tomlinson, R. J. Hawkins, A. M. Weiner, J. P. Heritage, and R. N. Thurston, J. Opt. Soc. Am. B: Opt. Phys., 6, 329–334 (1989).
A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top., 60, 7518–7524 (1999).
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Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 75, No. 4, pp. 509–515, July–August, 2008.
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Romanov, O.G., Tolstik, A.L. Transformation of singular light beam transverse structure in resonant media. J Appl Spectrosc 75, 532–538 (2008). https://doi.org/10.1007/s10812-008-9080-z
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DOI: https://doi.org/10.1007/s10812-008-9080-z