Abstract: The use of large sensor and phase shifter arrays in phase conjugation adaptive systems is currently limited by the computational power conventionally employed to solve small arrays. Noting that in large arrays many of the derivatives of wavefront slopes are zero, then the properties of sparse matrix mathematics may be used to efficiently calculate the extent of movement of a particular actuator to deform a mirror and thus compensate for phase distortions in an incoming wavefront. Apparatus and methods are provided for handling such large arrays.

Abstract: An adaptive laser system (10) includes an adaptable laser (12), a waveform sensor (14), an amplitude distribution sensor (16), and a processor (18) for converting data from the sensors into commands for controlling the waveform of a laser beam. Amplitude distribution data is to weight waveform data as the processor determines actuator commands for deforming the laser's main mirror (22). Amplitude weighting permits more accurate determination of the waveform sensor-to-actuator-coupling matrix and more precise optimization of the on-axis intensity of the laser beam across the laser aperture.