GENERATION OF A BESSEL-GAUSS PULSE FROM A MOVING DISK SOURCE DISTRIBUTION

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.