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A time-dependent multiple scattering theory for a pulsed radar with a finite...

Kobayashi, S., S. Ito, S. Tanelli, T. Oguchi, and E. Im (2007), A time-dependent multiple scattering theory for a pulsed radar with a finite beam width, Radio Sci., 42, RS4001, doi:10.1029/2006RS003555.

Multiple scattering returns from spherical water particles of uniform diameter are studied for pulsed radar operation. The Gaussian transverse beam-profile and the rectangular pulse-duration are taken into account. A second-order analytical solution is derived for a single layer structure, based on the time-dependent radiative transfer theory. The method itself can be extended to higher-order scatterings in a multiple layered structure with general drop size distributions. The calculation results show that the effect of second-order scattering becomes larger, as the footprint radius, range, and range resolution, which are normalized by the mean free path, increase.

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Atmospheric Dynamics and Precipitation Program (ADP)
Radiation Science Program (RSP)