Abstract

Assuming a moving disk source distribution, the Riemann method and Gegenbauer's addition theorem in a mixed coordinate-space–phase-space formulation have been used to derive a zeroth-order Bessel–Gauss pulse solution to the inhomogeneous wave equation. In the region where τ2ρeff2+z2, the total solution can be separated into a wave that attenuates quickly and a Bessel–Gauss pulse that exists only after a certain time and continues for long times. In the region where z2τ2ρeff2+z2, only a short-time solution exists.

© 1997 Optical Society of America

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