## Abstract

The photorefractive effect in BSO has been used to examine deep trapping levels. Observations of the decay dynamics of laser-induced phase gratings are consistent with the assumption of multiple shallow and deep trapping levels. A close correlation between diffraction intensities during write and read modes has been observed. The possibility of multiple phase-shifted gratings is suggested by these results. Electron and hole trapping effects appear to be simultaneously present with the hole traps exhibiting a long decay time constant.

© 1986 Optical Society of America

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### Equations (8)

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(1)
$$dN/dt=-\mathrm{\lambda}N+G,$$
(2)
$$N(t)=A\hspace{0.17em}\text{exp}(-\mathrm{\lambda}t)+[G/\mathrm{\lambda}][1-\text{exp}(-\mathrm{\lambda}t)].$$
(3)
$$\begin{array}{l}N(t)={N}_{1}(t)+{N}_{2}(t)-{N}_{3}(t),\\ {N}_{1}(t)=A\hspace{0.17em}\text{exp}({\mathrm{\lambda}}_{1}t)+({G}_{1}/{\mathrm{\lambda}}_{1})[1-\text{exp}({\mathrm{\lambda}}_{1}t)],\\ {N}_{2}(t)=B\hspace{0.17em}\text{exp}({\mathrm{\lambda}}_{2}t)+({G}_{2}/{\mathrm{\lambda}}_{2})[1-\text{exp}({\mathrm{\lambda}}_{2}t)],\\ {N}_{3}(t)=C\hspace{0.17em}\text{exp}({\mathrm{\lambda}}_{3}t)+({G}_{3}/{\mathrm{\lambda}}_{3})[1-\text{exp}({\mathrm{\lambda}}_{3}t)],\end{array}$$
(4)
$$\mathbf{A}={A}_{1}\hspace{0.17em}\text{exp}(i{\mathbf{k}}_{1}*\mathbf{r}){\mathbf{a}}_{1}+{A}_{2}\hspace{0.17em}\text{exp}(i{\mathbf{k}}_{2}*\mathbf{r}){\mathbf{a}}_{2}.$$
(5)
$$\begin{array}{l}I=\mathbf{AA}*\\ ={I}_{0}(1+m\hspace{0.17em}\text{cos}\mathbf{K}*\mathbf{r}),\end{array}$$
(6)
$${\mathbf{a}}_{1}*{\mathbf{a}}_{2}=1.$$
(7)
$${\mathbf{a}}_{1}*{\mathbf{a}}_{2}=\text{cos}2\theta .$$
(8)
$${\mathbf{a}}_{1}*{\mathbf{a}}_{2}=0.$$