Spectral Particularities of Femtosecond Optical Pulses Propagating in Dispersive Medium

  • V. S. Ovechko Taras Shevchenko National University of Kyiv
  • V. P. Myhashko Taras Shevchenko National University of Kyiv


We have proposed a refined solution of the wave equation for a dispersive medium without restriction on the duration of an optical pulse. We apply a series of elementary wave packages (EWP) to the representation of superwideband signals (fs pulse). We investigate peculiarities of the propagation of waves with low and high frequencies through the one-resonance medium. We show the existence of a “precursor” for fs optical pulses. We propose a formula for the optical signal velocity (OSV). Its value does not exceed the light velocity in vacuum. We have designed a method of adaptation of EWP-pulses to time-domain spectroscopy.


  1. M. Born, E. Wolf. Principles of Optics (Cambridge Univ. Press, 2003).

  2. L.D. Landau, E.M. Lifshitz. Electromagnetics of Continuous Media (Elsevier–Butterworth–Heinemann, 2004).

  3. M.B. Vinogradova, O.V. Rudenko, A.P. Sukhorukov. The Theory of Waves (Nauka, 1990) (in Russian).

  4. S.A. Akhmanov, V. A. Vysloukh, A.S. Chirkin. Optics of Femtosecond Laser Pulses (American Institute of Physics, 1992).

  5. Z. Chang, P.Corcum. Attosecond photon sources: The first decade and beyond. JOSA B 27, B9 (2010).

  6. V.S. Ovechko. Femtosecond optics – optics of the elementary waves packets. JOSA B 29, B799 (2012).

  7. G. Arfken, H. Weber, E. Harris. Mathematical Methods for Physicists (Elsevier Academic Press, 2005).

  8. L. Brillouin. Wave Propagation and Group Velocity (Academic Press, 1960).

  9. P.W. Milonni. Fast Light, Slow Light and Left-Handed Light (CRC Press, 2004).

  10. S.H. Chin. Governing the Speed of a Light Signal in Optical Fibers: Brillouin Slow and Fast Light. Thesis. No. 4459, EPFL (2009).

  11. M.D. Stenner, D.I. Gauthier, M.A. Neifeld. The speed of information in a "fast light" optical medium. Nature 425 (6959), 695 (2003).

  12. N. Brunner, V. Scarani, M.Wegmuller, M. Legre, N. Gisin. Direct measurement of superluminal group velocity and signal velocity in an optical fiber. Phys. Rev. Lett. 93 (20), (2004).

  13. V. Ovechko. Femtosecond optical pulse propagation through the single resonance Lorentz model dielectric. Int. J. ARPS 4 (1), 28 (2017).

  14. V.S. Ovechko, V.P. Myhashko, S.O. Motovilovetz. Elementary wave packets decomposition – new spectroscopy technique, in Book of Abstracts of the XXII Galina Puchkovska International School Seminar on Spectroscopy of Molecules and Crystals, Chynandiyovo, Ukraine, September 27 – October 4, 2015, p. 280.

  15. V.S. Ovechko, V.P. Myhashko, A.A. Kornienko. Slowly varying amplitude approximation in optics, in Proceeding of the XI International Conference "Electronics and Applied Physics", Taras Shevchenko National University of Kyiv, Ukraine, October 21–24, 2015, p. 20.
How to Cite
Ovechko, V., & Myhashko, V. (2018). Spectral Particularities of Femtosecond Optical Pulses Propagating in Dispersive Medium. Ukrainian Journal of Physics, 63(6), 479. https://doi.org/10.15407/ujpe63.6.479
Optics, atoms and molecules