Time-Dependent Nonlinear Photorefractive Response to Sinusoidal Intensity Gratings

Author(s)

Nagendra Singh, University of Alabama, Huntsville
S. P. Nadar, University of Alabama, Huntsville
Partha P. Banerjee, University of DaytonFollow

Document Type

Article

Publication Date

4-1997

Publication Source

Optics Communications

Abstract

The time-dependent, nonlinear Kukhtarev equations are numerically solved to determine the temporal and spatial dependence of the space-charge field for a sinusoidal intensity profile with an arbitrary modulation depth m. The intensity profile is spatially bounded simulating two interfering laser beams of finite spot size. The numerical solution allows us to critically examine the validity of analytical theories for linear and nonlinear photorefractive effects. The parametric dependence of the characteristic time constant τ for writing a grating is studied including the effects of quiescent intensity I₀, modulation index m and the thermal ionization rate β. We find that the Kukhtarev equations inherently yield a sublinear dependence of the characteristic time constant τ on I₀ even for a single trap (acceptor) species when I₀ is above a critical value I_c. Expression for I_c is given in terms of material properties, and the sublinearity index is determined for BSO. The exact dependence of τ on the modulation index (0 < m ≤ 1) is determined for BSO, and the nonsinusoidal waveform of the space-charge field for large m is fully characterized both analytically and numerically.

Inclusive pages

487–495

ISBN/ISSN

0030-4018

Comments

Permission documentation is on file.

Copyright

Copyright © 1997, Elsevier

Publisher

Elsevier

Volume

136

Peer Reviewed

yes

Issue

5-6

eCommons Citation

Singh, Nagendra; Nadar, S. P.; and Banerjee, Partha P., "Time-Dependent Nonlinear Photorefractive Response to Sinusoidal Intensity Gratings" (1997). Electrical and Computer Engineering Faculty Publications. 173.
https://ecommons.udayton.edu/ece_fac_pub/173