Iterative electrooptic matrix processor
Abstract
An electrooptic vector matrix processor with electronic feedback is described. The iterative optical processor (IOP) is designed for the rapid solution of linear algebraic equations. The IOP and the iterative algorithm it realizes are analyzed and simulated. A version of the system was fabricated using advanced solid state light sources and detectors plus fiber optic technology, and its performance is evaluated. An extension of the system using wavelength multiplexing is developed and the basic system concepts demonstrated. Its use in the restoration of degraded images or signals (deconvolution) and the computation of matrix eigenvectors and eigenvalues and matrix inversion are demonstrated. The two major case studies pursued are: adaptive phased array radar processing and optimal control. In the former case, the system is used to compute the adaptive antenna weights for a radar system. In the latter case, the IOP solves the linear quadratic regular and algebraic Ricatti equations of modern control theory.
 Publication:

Ph.D. Thesis
 Pub Date:
 1981
 Bibcode:
 1981PhDT........72C
 Keywords:

 ElectroOptics;
 Linear Equations;
 Matrices (Mathematics);
 Problem Solving;
 Algorithms;
 Computerized Simulation;
 Fiber Optics;
 Image Reconstruction;
 Optimal Control;
 Radar Antennas;
 Signal Processing;
 Wavelength Division Multiplexing;
 Electronics and Electrical Engineering