Propagation Technique for Ultrashort Pulses I: Propagation Equation for Ultrashort Pulses in a Kerr Medium
Cao Long V. 1, Hung Nguyen Viet 2, Trippenbach Marek 3, Khoa Dinh Xuan 4
1Institute of Physics, University of Zielona Góra
Podgórna 50, 65-246 Zielona Góra, Poland
e-mail: V.CaoLong@if.uz.zgora.pl
2Soltan Institute for Nuclear Studies
Hoża 69, 00-681 Warsaw, Poland
e-mail: hungvn@fuw.edu.pl
3Department of Physics, Warsaw University
Hoża 69, 00-681 Warsaw, Poland
e-mail: matri@fuw.edu.pl
4Vinh University, Nghe An, Vietnam
e-mail: khoadhv@yahoo.co
Received:
Recived: 16 November 2007; revised: 12 May 2008; published online: 17 June 2008
DOI: 10.12921/cmst.2008.14.01.05-11
OAI: oai:lib.psnc.pl:640
Abstract:
In this work we investigated propagation of ultrashort laser pulses in dispersive nonlinear media. We derived a general propagation equation of pulses which includes the linear and nonlinear effects to all orders. We studied in the specific case of Kerr media and obtained an ultrashort pulse propagation equation called a Generalized Nonlinear Schrödinger Equation. The impact of the third order dispersion, the higher-order nonlinear terms self-steepening, and stimulated Raman scattering are explicitly analyzed.
Key words:
References:
[1] R. W. Boyd, Nonlinear Optics, Academic Press Inc., 2003.
[2] G. P. Agrawal, Nonlinear Fiber Optics, Academic, San Diego, 2003.
[3] U. Bandelow, A. Demircan and M. Kesting, Simulation of Pulse Propagation in Nonlinear Optical Fibers, WIAS, 2003.
[4] Cao Long Van, Dinh Xuan Khoa and Marek Trippenbach, Introduction to Nonlinear Optics, Vinh 2003.
[5] Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals, Academic Press, San Diego, 2003.
[6] Cao Long Van, Marek Trippenbach, Dinh Xuan Khoa, Nguyen Viet Hung and Phan Xuan Anh, Conference on Theoretical Physics, Sam Son, Vietnam, 12-14 August 2003; Journal of Science, Vinh University 1A, 50 (2003).
[7] R. S. Tasgal and Y. B. Band, private communication, 2003.
[8] P. L. Francois, J. Opt. Soc. Am. B8, 276-293 (1991).
[9] J. H. B. Nijhof, H. A. Ferwerda and B. J. Hoenders, Pure Appl. Opt. 4, 199-218 (1994).
[10] R. H. Stolen and W. J. Tomlinson, J. Opt. Soc. Am. B6, 565-573 (1992).
[11] R. H. Stolen, J. P. Gordon, W. J. Tomlinson and H. A. Haus J. Opt. Soc. Am. B6, 1159-1166 (1989).
[12] C. Headley III and G. P. Agrawal, J. Opt. Soc. Am. B13, 2170-2177 (1996).
In this work we investigated propagation of ultrashort laser pulses in dispersive nonlinear media. We derived a general propagation equation of pulses which includes the linear and nonlinear effects to all orders. We studied in the specific case of Kerr media and obtained an ultrashort pulse propagation equation called a Generalized Nonlinear Schrödinger Equation. The impact of the third order dispersion, the higher-order nonlinear terms self-steepening, and stimulated Raman scattering are explicitly analyzed.
Key words:
References:
[1] R. W. Boyd, Nonlinear Optics, Academic Press Inc., 2003.
[2] G. P. Agrawal, Nonlinear Fiber Optics, Academic, San Diego, 2003.
[3] U. Bandelow, A. Demircan and M. Kesting, Simulation of Pulse Propagation in Nonlinear Optical Fibers, WIAS, 2003.
[4] Cao Long Van, Dinh Xuan Khoa and Marek Trippenbach, Introduction to Nonlinear Optics, Vinh 2003.
[5] Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals, Academic Press, San Diego, 2003.
[6] Cao Long Van, Marek Trippenbach, Dinh Xuan Khoa, Nguyen Viet Hung and Phan Xuan Anh, Conference on Theoretical Physics, Sam Son, Vietnam, 12-14 August 2003; Journal of Science, Vinh University 1A, 50 (2003).
[7] R. S. Tasgal and Y. B. Band, private communication, 2003.
[8] P. L. Francois, J. Opt. Soc. Am. B8, 276-293 (1991).
[9] J. H. B. Nijhof, H. A. Ferwerda and B. J. Hoenders, Pure Appl. Opt. 4, 199-218 (1994).
[10] R. H. Stolen and W. J. Tomlinson, J. Opt. Soc. Am. B6, 565-573 (1992).
[11] R. H. Stolen, J. P. Gordon, W. J. Tomlinson and H. A. Haus J. Opt. Soc. Am. B6, 1159-1166 (1989).
[12] C. Headley III and G. P. Agrawal, J. Opt. Soc. Am. B13, 2170-2177 (1996).
