Abstract: The present invention relates to an apparatus and a method upon which the apparatus is based for direct optical measurement of first and second moments (variance) of two-dimensional continuous-wave optical beam irradiance distributions. The apparatus and method are based on an optical filter having a spatially-varying transmittance or reflectance profile described by a one-dimensional truncated parabolic function. The light power transmitted through or reflected by the optical filter is measured by a photodetector as the optical filter travels horizontally across the beam irradiance profile. The variance is obtained from the ratio of the peak signal given by the photodetector normalized to the signal corresponding to the total optical power of the unobstructed optical beam. The first moment in a fixed reference frame is given by the horizontal position of the region of peak transmittance/reflectance of the filter when the maximum signal is measured.

Abstract: A process for making a custom phase-conjugated circular mirror to be used in a laser resonator that will suit specifications of a user is provided. The mirror reverses wavefront of one particular input beam .PSI..sub.o (x) determined by the user, the input beam .PSI..sub.o (x) having a given wavelength, the laser resonator including the mirror and an output coupler cooperating with the mirror and separated therefrom by a laser gain medium, the mirror being at a distance L from the output coupler. The process comprises steps of (a) determining the input beam .PSI..sub.o (x) that will suit need of the user; (b) calculating equation of .PSI..sub.L (x) which is a value of the input beam .PSI..sub.o (x) that is propagated through said laser gain medium at distance L; (c) calculating phase .PHI..sub.o (x) of the input beam, which is a phase of the input beam .PSI..sub.o (x) at distance L, the phase .PHI..sub.