A phase modulation structure includes a recording surface including phase angle recording regions in a plurality of calculated element regions corresponding to reconstruction points of an image on a one-to-one basis, each phase angle recording region being formed of a plurality of unit blocks in each of which a phase angle is recorded, the phase angle being calculated based on a phase that is a sum of a plurality of phases of light from the corresponding reconstruction points; and a representative area that is one of divisions of the calculated element region, the representative area being obtained by radially dividing the calculated element region centered on a point on the calculated element region, the point being obtained by extending a normal line from the corresponding reconstruction point to the calculated element region on the recording surface.

Systems and methods for forming a coherent optical phased array laser source from a spatially combined array of output beams is accomplished without any external measurement devices or wavefront sensors. A master oscillator laser is split into a plurality of optical beam transport and amplifier channels to produce a plurality of optical output beams that are spatially combined in an array format. The spatial phase state of the plurality of output beams is measured at the output of a spatial combiner without use of an external measurement device or sensor. The phase of the plurality of optical output beams is controlled to compensate both for aberrations induced by the optical beam transport and amplifier paths to produce a coherent and spatially phased laser beam at the output of the laser source or to produce a phased laser beam with prescribed phase state on each output beam.

A phase modulation structure includes a recording surface including phase angle recording regions in a plurality of calculated element regions corresponding to reconstruction points of an image on a one-to-one basis, each phase angle recording region being formed of a plurality of unit blocks in each of which a phase angle is recorded, the phase angle being calculated based on a phase that is a sum of a plurality of phases of light from the corresponding reconstruction points; and a representative area that is one of divisions of the calculated element region, the representative area being obtained by radially dividing the calculated element region centered on a point on the calculated element region, the point being obtained by extending a normal line from the corresponding reconstruction point to the calculated element region on the recording surface.

A system includes a source of laser beams forming an array, a source of a reference laser beam, and an optical detector for measuring respective phase differences between the array laser beams and the reference laser beam. The system includes a mask, having apertures with a shape, size and position identical to a shape, size and position of the array laser beams, and positioned in the reference laser beam to form respective beams of the reference laser beam corresponding to the beams from the array laser beams. A phase modulator phase modulates respective beams of one of (a) the array laser beams and (b) the beams of the reference laser from the mask. A photodetector receives the respective array laser beams and the corresponding reference laser beams from the mask to generate a composite signal. Processing circuitry is responsive to the composite signal for generating respective signals representing the phase differences of the individual laser beams from the reference laser beam.