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
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(050.1960) Diffraction and gratings : Diffraction theory
(070.2590) Fourier optics and signal processing : ABCD transforms
(320.5550) Ultrafast optics : Pulses
(350.5500) Other areas of optics : Propagation
Jun Yang and Dianyuan Fan, "Intensity-moments characterization of general pulsed paraxial beams with the Wigner distribution function," J. Opt. Soc. Am. A 16, 2488-2493 (1999)