Gene Fuller wrote:
Cecil Moore wrote:
1. Velocity of propagation, v = 1/SQRT(permeability*permittivity).
2. No electric or magnetic field in direction of propagation.
3. Electric field normal to magnetic field.
4. Value of electric field is the intrinsic impedance (ii) times
the magnetic field at each instant.
5. Direction of propagation given by direction of ExH.
6. Energy stored in electric field per unit volume at any instant
and any point is equal to energy stored in magnetic field per
unit volume at that instant and that point.
7. Instantaneous value of Poynting vector given by
E^2/ii = ii*H^2, where E and H are the instantaneous values of
total electric and magnetic field strengths. [end quote]
A standing wave doesn't satisfy any of those properties.
By the way, a standing wave meets at least 5 of those 7 properties.
1. A standing wave doesn't propagate.
From "Optics", by Hecht. "[A standing wave] doesn't rotate at
all, and the resultant wave it represents doesn't progress
through space -"
2. A standing wave doesn't propagate.
3. The electric field is either 0 or 180 degrees apart from the
magnetic field. I proved that with math equations in an earlier
posting which I invited you to disprove and you declined. Hint:
see R&W quote below. The pure standing wave Poynting vector is
known to be zero. The only way for that to happen (when E and H
are both not zero) is for the E and H vectors to be mutually
parallel, i.e. 0 or 180 degrees apart.
4. The ratio of electric field to magnetic field is not constant
so it cannot be equal to the intrinsic impedance of the medium.
5. A standing wave doesn't propagate.
6. At any instant, at a point, all the energy may be stored in
either electric or magnetic field while the other is zero. At
the nodes, energy is never stored in one of the fields.
7. At a point where E=0, H will sometimes be maximum. Again,
the intrinsic impedance is not the ratio of E to H.
Sorry, 0 for 7. A standing wave is NOT a uniform plane wave.
As Hecht said, it is questionable whether a standing wave
deserves to be called a wave.
Also from Ramo & Whinnery:
"It is also instructive to consider the cases for
which there will be no power flow through the electromagnetic
field. Accepting the foregoing interpretation of the Poynting
vector, we see it will be zero when either the E-field or
H-field is zero, or when the two vectors are mutually
parallel." see item 3 above.
--
73, Cecil
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