J. Yang et Dy. Fan, Intensity-moments characterization of general pulsed paraxial beams with the Wigner distribution function, J OPT SOC A, 16(10), 1999, pp. 2488-2493
On the basis of the space-time Wigner distribution function (STWDF), we use
the matrix formalism to study the propagation laws for the intensity momen
ts of quasi-monochromatic and polychromatic pulsed paraxial beams. The adva
ntages 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 me believe is a novel technique for characterizi
ng the beam phase is presented. (C) 1999 Optical Society of America [S0740-
3232(99)001009-1].