Title :
Solitary waves and two-photon absorption
Author :
de Oliveira, J.M. ; Cavalcanti, Solange B. ; Hickmann, J.Miguel
Author_Institution :
Dept. de Fisica, Univ. Fed. de Alagoas, Maceio, Brazil
Abstract :
Investigations on pulse propagation near the half band gap of semiconductors, where a two-photon resonant enhanced nonlinearity takes place, indicate asymmetric frequency spectra together with self-steepening of the transmitted pulse. These features are attributed to the frequency dispersion of the nonlinear refractive index coefficient and also to the coefficient of two-photon absorption. Lately there has been considerable interest on such investigations for all-optical switching applications, so that, in this paper we investigate an extended version of the nonlinear Schrodinger equation (NLSE) including a self-steepening term, which takes into account the frequency dispersion of the nonlinear susceptibility and also a nonlinear absorptive term. To this end we employ a recently devised variational approach suitable to deal with nonlinear dissipative propagation and show the existence of a solitary wave as a result of the interplay among the various effects considered
Keywords :
Schrodinger equation; light absorption; optical dispersion; optical solitons; two-photon spectra; variational techniques; all-optical switching; frequency dispersion; half band gap; nonlinear Schrodinger equation; nonlinear dissipative propagation; nonlinear refractive index; nonlinear susceptibility; pulse propagation; self-steepening; semiconductor; solitary wave; two-photon absorption; variational technique; Absorption; Chirp; Frequency; Partial differential equations; Photonic band gap; Refractive index; Resonance; Schrodinger equation; Space vector pulse width modulation; Writing;
Conference_Titel :
Nonlinear Optics '98: Materials, Fundamentals and Applications Topical Meeting
Conference_Location :
Kauai, HI
Print_ISBN :
0-7803-4950-4
DOI :
10.1109/NLO.1998.710228