Jim Kelley wrote:
Cecil Moore wrote:
Note: The above is a conceptual simplification as it
ignores the current "bulge" in a real-world loading
coil.

It ingores almost everything about the antenna.

According to Kraus, the standing waves are the *primary*
effect associated with a standing-wave antenna. Everything
else is indeed a secondary effect. The standing wave current
is about 90% of the total steady-state current. Like a low-
loss transmission line, a loaded mobile antenna can be
analyzed by assuming that it is lossless.

"Antennas", by Kraus, 3rd edition, Standing Wave Antennas

Page 187: "A sinusoidal current distribution may be
regarded as the standing wave produced by two uniform
(unattenuated) traveling waves of equal amplitude moving
in opposite directions along the antenna."

Page 464: "It is generally assumed that the current
distribution of a thin-wire antenna is sinusoidal, and
that the phase is constant over a 1/2WL interval, ..."

Both of Kraus' statements assume a lossless antenna.

Note that at the coil/stinger junction:
Itot = k1*cos(k2*x)*cos(wt) = k3*cos(k4*x)*cos(wt)

Uh, what units did you say your constants k1-k4 had again?

k1 and k3 have the units of current and are the magnitude
of the two standing-wave current phasors on each side of
the coil/stinger junction.

k2 and k4 have the units of degrees/unit-length so when
they are multiplied by x, the result is degrees. Of course,
it could be radians/unit-length.
--
73, Cecil, IEEE, OOTC, http://www.w5dxp.com