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Article
Exact, Dynamical Analysis of the Kukhtarev Equations in Photorefractive Barium Titanate using Rigorous Coupled-Wave Diffraction Theory
Journal of the Optical Society of America A
  • John M. Jarem, University of Alabama, Huntsville
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
4-1-1996
Abstract
Rigorous coupled-wave diffraction theory is used to analyze two-wave and multiwave mixing in diffusion-controlled photorefractive barium titanate, which is modeled by the Kukhtarev equations. These equations are partially decoupled to yield a system of two equations between the electron density and the electrostatic field (and hence the induced refractive index profile). The transmitted and reflected optical fields, the dielectric modulation, the electrostatic field, and the electron density are studied for the cases in which the interfering, incident optical fields have equal and unequal amplitudes for different values of the linear refractive index mismatch and for different values of photorefractive crystal length. In each case the exact longitudinal inhomogeneity in the photorefractive medium is analyzed with the use of rigorous coupled-wave diffraction theory and an exact Kukhtarev analysis. We compare the evolution of the diffracted orders for different sample lengths to show that the nature of the steady state (oscillatory or nonoscillatory) critically depends on the sample length. Our computations study in BaTiO3 the conditions for temporal instability resulting in self-pulsation and for anisotropic diffraction contributing to significant generation of higher orders (assuming that two plane waves are incident on the photorefractive material).
Inclusive pages
819-831
ISBN/ISSN
1084-7529
Comments

Permission documentation is on file.

Publisher
Optical Society of America
Peer Reviewed
Yes
Citation Information
John M. Jarem and Partha P. Banerjee. "Exact, Dynamical Analysis of the Kukhtarev Equations in Photorefractive Barium Titanate using Rigorous Coupled-Wave Diffraction Theory" Journal of the Optical Society of America A Vol. 13 Iss. 4 (1996)
Available at: http://works.bepress.com/partha_banerjee/52/