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

V v

Visibility Function--Gaussian

But this is a radial function, so it reduces to a Hankel transform, Eric Weisstein's World of Math

where

Using Abramowitz and Stegun (equation 11.4.29, p. 486),

for and with

Plugging (5)-(7) into (4) and (4) into (2) gives

References