Professor Wagner performs research to harness the unique computational capabilities of linear and nonlinear optical interactions of light with novel materials in order to produce optical systems with unprecedented computational power. Holographic optical signal processing is performed using photorefractive materials. Spatial-temporal holographic processing for applications such as true-time-delay squint-free multibeam array processing, high resolution spectral analysis, and radar range-Doppler and angle-of-arrival signal processing is performed using spatial-spectral holography. New acousto-optic devices are being invented and developed for these and other applications in optical and quantum computing.