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Interaction of solitons with defects and inhomogeneities in crystals♣

K. T. STOYCHEV1,* , M. T. PRIMATAROWA1, R. S. KAMBUROVA1

Affiliation

  1. Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784 Sofia, Bulgaria

Abstract

The interaction of solitons with extended inhomogeneities in molecular chains is investigated. Linear and nonlinear on-site defects as well as inter-site (bond) defects are considered. A perturbed nonlinear Schrödinger equation is derived which involves three wavenumber (velocity) dependant terms associated with the bond defect. The scattering of solitons from defect segments is studied numerically. Periodic scattering patterns as a function of the length of the segment are obtained. The periods and their origin are different for weakly and strongly nonlinear solitons. The scattering of solitons from potential steps in the presence of transition layers is also studied..

Keywords

Anharmonic intramolecular vibrations, Substitutional defects, Soliton-defect interaction.

Submitted at: Nov. 5, 2008
Accepted at: Sept. 9, 2009

Citation

K. T. STOYCHEV, M. T. PRIMATAROWA, R. S. KAMBUROVA, Interaction of solitons with defects and inhomogeneities in crystals♣, Journal of Optoelectronics and Advanced Materials Vol. 11, Iss. 9, pp. 1128-1134 (2009)