A normalized Gaussian beam pattern for an antenna is given by
where is the radial offset from beam center and is the Gaussian standard deviation.
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, 1985.
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, 1980.
