Abstract
Results of numerical simulation of soliton-like propagation of two interacting femtosecond laser pulses in bulk media with radial symmetry are presented. Propagation is analysed under conditions of SHG with strong self-action and remarkable phase mismatch for nonzero input amplitudes of both waves. Two NLSE in two spatial coordinates and time with quadratic and cubic nonlinearities govern the process. Numerical simulation was made on the base of conservative difference scheme, taking into account the conservation laws of the problem. Long-time approximation of flat beam profiles was used to reveal the conditions of soliton-like propagation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Steinmeyer, G., Sutte, P.H., Gallmann, L., et al.: Frontiers in ultrashort pulse generation: pushing the limits in linear and nonlinear optics. Science 286, 1507–1560 (1999)
Razumihina, T.B., Teleguin, L.S., Cholodnych, A.I., et al.: Three frequences interaction of intense light waves in media with quadratic and qubic nonlinearities. Quantovaya electronica 11, 2026–2030 (1984) (in Russian)
Suchorukov, A.P.: Nonlinear wave interactions in optics and radiophysics. Nauka, M (1988)
Ditmire, T., Rubenchik, A.M., Eimerl, A., et al.: The effects of cubic nonlinearity on the frequency doubling of high power laser pulses. JOSA B 13, 649–652 (1996)
Arbore, M.A., Fejer, M.M., Ferman, M., et al.: Frequancy doubling of femtosecond erbium-fiber soliton lasers in periodically poled lithium niobate. Optic. Lett. 22, 13 (1997)
Arbore, M.A., Galvanouskas, A., Harter, D., et al.: Egineerable compression of ultrashort pulses by use of second-harmonic generation in chirped-period-poled-lithium niobate. Optic. Lett 22, 1341 (1997)
Liu, X., Beckwitt, K., Wise, F.W.: Two-dimensional optical spatiotemporal solitons in quadratic media. Phys. Rev. 62, 1328–1340 (2000)
Liu, X., Beckwitt, K., Wise, F.W.: Transverse instability of optical spatiotemporal solitons in quadratic media. Phys. Rev. Lett. 85, 1871–1874 (2000)
Zhang, J.Y., Huang, J.Y., Wang, H., et al.: Second-harmonic generation from regeneratively amplified femtosecond laser pulses in BBO and LBO crystals. JOSA B 15, 200–209 (1998)
Wise, F., Trapani, P.: The hunt for light bullets - spatiotemporal solitons. Opt. Photon. News. 13, 27–30 (2002)
Krylov, V., Rebane, A., Kalintsev, A.G., et al.: Second-harmonic generation of amplified femtosecond Ti: sapphire laser pulses. Optic. Lett. 20, 198–200 (1995)
Lysak, T.M., Trofimov, V.A.: On the possibility of soliton-like regime for the two-wave femtosecond pulse propagation in optic fiber under conditions of SH generation. Optica & Spectroscopia 94, 808–814 (2003) (in Russian)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Trofimov, V.A., Lysak, T.M. (2005). Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_66
Download citation
DOI: https://doi.org/10.1007/978-3-540-31852-1_66
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
Online ISBN: 978-3-540-31852-1
eBook Packages: Computer ScienceComputer Science (R0)