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Measurement of Photorefractive Dynamics Using Time Autocorrelaton Function

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Abstract

Photorefractive dynamics are typically described by the material equations referred to as the Kukhtarev Equations. In dimensionless form these equations are given by where time is scaled to τ = ε/eμNA, length to λ/(4πn sin θ/2), and density to NA. N is the carrier density, N is the ionized donor density, ND is the donor density, E is the electric field, 1D is the Debye screening length, f is the excitation rate, and γ is the recombination coefficient. The space charge field responsible for the photorefractive grating is given by These equations are inherently nonlinear, and cannot, in general, be integrated analytically. In order to do so, the equations are linearized with the anticipation that higher order terms are not significant. Recent work, however, has demonstrated that under certain conditions, typical of many experiments, the linearization of these equations is not appropriate. For those cases, any connection between model and experiment becomes quite difficult.

© 1996 Optical Society of America

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