Tom Donaly wrote:
If a magnitude can, by itself, contain phase information, why
do we have to specify the angle in a phasor?

The subject is the standing wave current phasor on a
1/2WL thin-wire dipole, not phasors in general.

The point is that we do *NOT* have to specify the angle
for the standing wave current phasor on a 1/2WL thin-wire
dipole. The standing wave current phase angle at any point
up and down the antenna is already known to be EXACTLY the
same as the angle of the source current at any particular
time. That's why W7EL's phase measurements were meaningless
and his conclusions false. Note he has refused to discuss
the subject with me here or over private email.

If the source current is 1 amp at 0 degrees, the standing
wave current magnitude equals cos(X) and the standing wave
current phase equals zero degrees. That you guys disagree
indicates ignorance of the assertions of Kraus, Balanis,
and others.

This is what the argument is all about. The phase angle
for the standing wave current is known to be zero degrees
and unchanging with respect to the source current phasor.
The standing wave magnitude is known to be the cosine of
the number of degrees away from the feedpoint. That same
number of degrees is the absolute value of the phase angle
of the forward current and reflected current phasors.

The magnitude of the standing wave current on a 1/2WL
thin-wire dipole, fed with 1 amp at 0 degrees as
illustrated by Kraus, indeed does contain all the phase
information that anyone could ever need or want.
--
73, Cecil http://www.qsl.net/w5dxp