In this paper, a photorefractive crystal is utilized as an output device, specifically as a time integrating detector for an acousto-optic correlator. In a standard time integrating acousto-optic architecture which uses CCDs, the output correlation signal is presented which includes bias. This results in a limitation on the effective dynamic range of the correlator. In a photorefractive crystal, light without spatial variation does not produce a cumulative bias signal and hence when the photorefractive crystal is used as the integrating detector, the correlation signal can be recorded and read out without bias. Important characteristics such as linearity dynamic range and integration time are also presented in this paper.