Abstract
The scattering of the radio emission of an almost horizontal cascade by the rough lunar surface during radiation emergence into vacuum is considered in the Born approximation. The point approximation for the shower disk size is considered taking into account its evolution along the track. The lunar surface was set either as a sinusoidal one in the directions perpendicular to and coinciding with the shower disk velocity or as having an arbitrary shape at the point of particle incidence. Scattering associated with wave phase increment and with variations of slope of the normal to the rough surface for various rays forming the total field of the scattered wave is considered.
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