Nonlinear Effects in Photonic Materials - Abstract

Bugaychuk, Svitlana

Localized states and oscillations induced by wave self-diffraction in nonlinear media with non-local response

I consider the case of wave interaction in nonlinear medium with a non-local response that has an inherent feature such as a directional phase shift between interacted waves leading to energy transfer from one wave to the other. Then one can obtain a sine-Gordon equation with a damping term to describe the temporal dynamics of the process, where the nonlinear susceptibility of the medium is changed due to two main processes: the amplification being proportional to the local wave intensity and the relaxation. This situation has natural realization at optical dynamic holography in ferroelectric crystals with non-local photorefractive gain that is considered more detail in the report. In the holographic schemes a soliton-like behavior of the light induced refractive index has been predicted theoretically [1-3] and confirmed experimentally [4]. The conditions of formation of single localized state and self-oscillations of the induced refractive index (as well as of output wave intensities) are discussed. [1] A. Bledowski, W. Krolikowski, A. Kujawski, J. Opt. Soc. Am. B 6, No.8, 1544-1547 (1989). [2] A. A. Zozulya, M. Saffman, D. Z. Anderson, Phys. Rev. Lett. 73, No. 6. 818-821 (1994). [3] M. Jeganathan, M. C. Bashaw, and L. Hesselink, J. Opt. Soc. Am. B 12, 1370 (1995). [4] S. Bugaychuk, L. Kovács, G. Mandula, K. Polgár, R. A. Rupp, Phys. Rev. E 67 (4), 046603 (2003).