Visibility Function--Circle -- from Eric Weisstein's World of Physics

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V v



Visibility Function--Circle
Visibility Function--Circle -- from Eric Weisstein's World of Physics
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V v



Visibility Function--Circle

Is given by visibility function for an ellipse with a = b,

(1)

where

(2)

and is the angular radius and D the baseline distance. Therefore, the zeros in a plot of visibility amplitude versus baseline distance (V vs. D) occur when

(3)

where denotes the nth zero of the Bessel function and D is the angular diameter. The angular diameter is

(4)

If is measured in ,
(5)

The first few 's are 3.8317, 7.0156, 10.1735, 13.3237. The corresponding equations are


Let be the disk angular diameter and the beam FWHP. The area of the disk is
(6)


© 1996-2007 Eric W. Weisstein

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© 1996-2007 Eric W. Weisstein