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Spatio-temporal operator formalism for holographic recording and diffraction in a photorefractive-based
Andrew Kiruluta1, Gour S Pati, Gregory Kriehn
1Department of Electrical and Computer Engineering, University of Colorado, Boulder 80309-0525, USA. kiruluta@nmr.mgh.harvard.edu
Applied Optics
|September 25, 2003
Summary
We introduce a novel optical beamformer using photorefractive crystals for adaptive array processing. This system dynamically compensates for fiber perturbations, enabling robust signal processing.
Area of Science:
- Photonics and Optical Engineering
- Adaptive Optics
- Signal Processing
Background:
- Optical beamforming requires adaptive methods to handle dynamic signal variations.
- Photorefractive crystals offer potential for holographic storage of adaptive weights.
- True-time-delay processing is crucial for broadband applications.
Purpose of the Study:
- To present a spatio-temporal operator formalism for the BEAMTAP algorithm.
- To describe optical beamformer operation using a photorefractive crystal.
- To demonstrate dynamic compensation for fiber perturbations in optical array processing.
Main Methods:
- Utilized a spatio-temporal operator formalism and beam propagation simulations.
- Implemented a tapped-delay line with an acoustooptic Bragg cell.
- Employed a traveling-fringes detector for time-delay detection and a photorefractive crystal for adaptive weight storage.
Main Results:
- Demonstrated adaptive array processing using holographic gratings in a photorefractive crystal.
- Showcased dynamic compensation for random time and phase delays caused by fiber perturbations.
- Simplified complex spatio-temporal integrals to an imaging condition via operator manipulation.
Conclusions:
- The BEAMTAP algorithm effectively performs adaptive beamforming and jammer excision.
- Holographic wavefront reconstruction inherently compensates for fiber-induced signal fluctuations.
- The proposed optical system offers a robust solution for adaptive optical beamforming.