I think Richard has hit the nail on the head.  I wish calculation of
  electromagnetic fields could be reduced to a simple equation.  Any
  undergraduate text on electromagnetics barely scratches the surface.  I
  suggest you check the site at www.nec2.org and download the .pdf version
  of the "NEC Program Description -- Theory".  Gives an overview of "Method
  of Moments".  As a foundation Kraus' Electromagnetics may help, and is
  available used (and cheap) at www.bn.com.  Also at the same site a
  reprint of  "Field Computation by Moment Methods" by Roger F. Harrington
  can be obtained for $33.50.  Then there is the "Finite Element" method as
  used by "Ansoft's" HFSS".
 
 
  Regards,
 
  Frank
 
 
 
Allow me post a couple of formulae ??  formulas ??
How about equations?
Balanis 2 Ed.  p 32-33
Reactive near field  - .62 * A
where A = Square Root of (D^3)/lambda
D= length of a Hertzian dipole (both elements)
lambda is the wavelength of a transmitting frequency
radiating near field  -  2*(D^2)/lambda
Outside of that is the far field.
This is area that you seem concerned about.
Krauss uses Reactive near field as inside  lamda/(2 * pie)
Do you work for a group of physicists? I have encountered the
field equations from a physics text by Young and Friedman.
Dave