"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

I agree, do not show this message again.

Solitons in non-paraxial optics

D. DAKOVA1, A. DAKOVA2,1, V. SLAVCHEV2,3, L. KOVACHEV2

Affiliation

  1. Faculty of Physics, University of Plovdiv “Paisii Hilendarski”, 24 Tsar Asen Str., 4000 Plovdiv, Bulgaria
  2. Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradsko shossee,1784 Sofia, Bulgaria
  3. Faculty of Pharmacy, Medical University - Plovdiv, Bul. Vasil Aprilov 15-А, 4002 Plovdiv, Bulgaria

Abstract

The well-known (1+1D) nonlinear Schrödinger equation (NSE) governs the propagation of narrow-band pulses in optical fibers and others one-dimensional structures. For exploration the evolution of broad-band optical pulses (femtosecond and attosecond) it is necessary to use the more general nonlinear amplitude equation (GNAE) which differs from NSE with two additional non-paraxial terms. That is way, it is important to make clear the difference between the solutions of these two equations. We found a new analytical soliton solution of GNAE and compare it with the well-known NSE one. It is shown that for the fundamental soliton the main difference between the two solutions is in their phases. It appears that, this changes significantly the evolution of optical pulses in multisoliton regime of propagation and admits a behavior different from that of the higher-order NSE solitons..

Keywords

Nonlinear amplitude equation, Soliton solution, Nonlinear Schrodinger equation, Optical pulses with broad-band spectrum.

Submitted at: March 7, 2016
Accepted at: June 9, 2016

Citation

D. DAKOVA, A. DAKOVA, V. SLAVCHEV, L. KOVACHEV, Solitons in non-paraxial optics, Journal of Optoelectronics and Advanced Materials Vol. 18, Iss. 5-6, pp. 435-439 (2016)