Dirty Beam -- from Eric Weisstein's World of Physics

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Dirty Beam

The Fourier transform Eric Weisstein's World of Math of the (u, v) sampling distribution in synthesis imaging

(1)

also called the synthesized beam. It is called a "beam" by way of analogy with the dirty map

(2)

where denotes convolution. Eric Weisstein's World of Math Here, is the intensity which would be observed for an extended source by an antenna with response pattern ,
(3)

The dirty beam is often a complicated function. In order to avoid introducing any high spatial frequency features when applying the CLEAN algorithm, an elliptical Gaussian is usually fit to the dirty beam, producing a CLEAN beam which is convolved Eric Weisstein's World of Math with the final iteration.

CLEAN Algorithm, CLEAN Map, Dirty Map


© 1996-2007 Eric W. Weisstein

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