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Solitons in non-paraxial optics



  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


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..


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

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


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)