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Intensity-moments characterization of general pulsed paraxial beams with the Wigner distribution function

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Abstract

On the basis of the space–time Wigner distribution function (STWDF), we use the matrix formalism to study the propagation laws for the intensity moments of quasi-monochromatic and polychromatic pulsed paraxial beams. The advantages of this approach are reviewed. Also, a least-squares fitting method for interpreting the physical meaning of the effective curvature matrix is described by means of the STWDF. Then the concept is extended to the higher-order situation, and what we believe is a novel technique for characterizing the beam phase is presented.

© 1999 Optical Society of America

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