Richard Clark wrote:
On Wed, 16 May 2007 09:37:17 -0700, Jim Kelley
wrote:


Why such criticism of a meager geometrical object with such useful
purpose? It seems your expectations may be too high.


Hi Jim,

MY expectations are too high? "With such useful purpose" is
overarching by half.

Perception only. Utility in geometrical abstracts exists completely
independently of ones appreciation of them.

What has Phase Velocity got to do with anything, and what are its
expectations either high or low?

For the problem at hand (antennas) Kraus uses c = w/k, not dw/dk.
Naturally, he was interested in the velocity with which field lines
move across a point - the speed at which the wave propagates.
VF = v sub p over c, not v sub g over c. The second part of your
question is unintelligible to me.

ac6xg