Abstract
Analytical expressions for velocities of the center of mass and dispersive spreading of optical pulses with a small number of electromagnetic field oscillations in dielectric media have been obtained. For some typical time profiles of input pulses, these expressions are reduced to elementary functions of dispersion characteristics of the medium, central frequency of the pulse, and initial number of oscillations in it. It is shown that the duration of a terahertz pulse of one full-wave oscillation of the field can increase by a factor of \(\sqrt 2 \) when propagating in a dielectric to distances of only three central radiation wavelengths. For pulses of two full-wave oscillations of the field of the near-IR spectral range, the frequency of the zero group dispersion in a dielectric can shift by more than 200 nm.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1979).
D. Anderson and M. Lisak, Phys. Rev. A35(1),184(1987).
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses (Nauka, Moscow, 1988) [in Russian].
G. G. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995; Mir, Moscow, 1996).
C. Ruchert, C. Vicario, and C. P. Hauri, Phys. Rev. Lett. 110,123902(2013).
U. Morgner, Nature Photonics 4,14(2010).
V. G. Bespalov, S. A. Kozlov, and Yu. A. Shpolyanski, J. Opt. Technol.67(4),303(2000).
D. L. Belov, S. A. Kozlov, and Yu. A. Shpolyanskii, J. Opt. Technol.69(7),483(2002).
A. A. Ezerskaya, D. V. Ivanov, V. G. Bespalov, and S. A. Kozlov, J. Opt. Technol.78(8),551(2011).
N. R. Belashenkov, A. A. Drozdov, S. A. Kozlov, Y. A. Shpolyanskii, and A. N. Tsypkin, J. Opt. Technol.75(10),611(2008).
W. Sellmeier, Annal. Phys. Chem. 219,272(1871).
I. H. Malitson, J. Opt. Soc. Am. 55,1205(1965).
B. Brixner, J. Opt. Soc. Am.57(5),674(1967).
M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow 1973).
M. A. Bakhtin, S. Yu. Kolesnikova, and Yu. A. Shpolyanskii, in Modern Technologies (St. Petersburg, 2001), pp. 196–203 [in Russian].
C. Mühlig, S. Kufert, W. Triebel, and F. Coriand, Proc. SPIE—Int. Soc. Opt. Eng. 4779,107(2002).
S. A. Kozlov and V. V. Samartsev, Fundamentals of Femtosecond Optics (Woodhead, Cambridge, 2013).
S. Witte, R. Th. Zinkstok, W. Hogervorst, and K. S. E. Eikema, Opt. Express13(13),4903(2005).
G. Sansone et al., Science314(443),443(2006).
L. Palfalvi et al., Appl. Phys. 97,123505(2005).
V. I. Karpman, Nonlinear Waves in Dispersive Media (Nauka, Moscow, 1973) [in Russian].
N. N. Rosanov, Opt. Spectrosc.106(5),742(2009).
O. V. Nagornov et al., Wavelet Analysis in Examples: A Tetbook (NIYaU MIFI, Moscow, 2010) [in Russian].
G. A. Corn and T. M. Corn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961).
P. G. Kryukov, Femtosecond Pulses (Fizmatlit, Moscow, 2008) [in Russian].
G. Krauss et al., Nature Photonics 4,33(2010).
Y.-S. Lee, Principles of Terahertz Science and Technology (Springer, New York, 2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.A. Kapoiko, S.A. Kozlov, 2015, published in Optika i Spektroskopiya, 2015, Vol. 119, No. 3, pp. 477–488.
Rights and permissions
About this article
Cite this article
Kapoiko, Y.A., Kozlov, S.A. Velocity of the mass center motion and duration evolution of pulses of a small number of oscillations in dispersive optical media. Opt. Spectrosc. 119, 485–496 (2015). https://doi.org/10.1134/S0030400X15090131
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X15090131