K1TTT wrote:
On May 11, 8:30 pm, Art Unwin wrote:
When an array is
in equilibrium then Maxwell's equations are exact.

maxwell's equations are ALWAYS exact, it is digital models that are
inexact and have limitations due to the approximations made and the
numeric representations used.

Inexactness of the solution isn't because the method is digital. The
field equations solved by the digital methods simply can't be solved by
other methods, except for a relatively few very simple cases. Many
non-digital methods were developed over the years before high speed
computers to arrive at various approximate solutions, but all have
shortcomings. For example, I have a thick file of papers devoted to the
apparently simple problem of finding the input impedance of a dipole of
arbitrary length and diameter. Even that can't be solved in closed form.
Solution by digital methods is vastly superior, and is capable of giving
much more accurate results, than solution by any known method.

Roy Lewallen, W7EL