Pl. Overfelt, GENERATION OF A BESSEL-GAUSS PULSE FROM A MOVING DISK SOURCE DISTRIBUTION, Journal of the Optical Society of America. A, Optics, image science,and vision., 14(5), 1997, pp. 1087-1091
Assuming a moving disk source distribution, the Riemann method and Geg
enbauer's addition theorem in a mixed coordinate-space-phase-space for
mulation have been used to derive a zeroth-order Bessel-Gauss pulse so
lution to the inhomogeneous wave equation. In the region where tau(2)
greater than or similar to rho(eff)(2) + z(2), the total solution can
be separated into a wave that attenuates quickly and a Bessel-Gauss pu
lse that exists only after a certain time and continues for long times
. In the region where z(2) less than or equal to tau(2) less than or s
imilar to rho(eff)(2) + z(2), only a short-time solution exists. (C) 1
997 Optical Society of America.