A vertical monopole antenna over symmetrically oriented center connected field of radials (grounded or counterpoise) radiates equally (omnidirectionally) and in phase in all directions. Any phase difference would create a directional antenna. One side of the vertical antenna wire or tower that induces the current in the radials is exactly in phase with the other side, at the center point.
Since the fields radiate perpendicular to the radials, the observer in positioned to view the correct phase reference for the two conductors and the field phases as well. Therefore their fields radiated are also out of phase and cancel. Remember that an instantenous current viewed perpendicular to a wire as going right is 180 degrees out of phase with one from the same view going left in a parallel wire as is the case with twin lead transmission line in which the fields cancel and no radition is produced. The difference here is there is electrical phase shift and not spatial phase shift but the field effect is the same.
No.
The observer receives only the wave front headed toward him and not the radial wave front headed in other directions.
To keep it simple, let's just use two radials 180 physical degrees apart attached to the base. As the current collected by these radials to be returned to the antenna base add at the base they will be in electrical phase using this junction as the reference point, and the total will increase as you said. But the current in what let's call the north radial will be travelling south, and the current in the south radial will be travelling north, both into the test node at the antenna base where they add in phase. From an observer to the west, the currents will be 180 degrees out of phase since they are observed travelling equal and opposite directions and the generated radiated fields from each will also be equal and opposite and will cancel.
Again.
The observer receives only the wave front headed toward him and not the radial wave front headed in other directions.
The field radiated from the north antenna by current going south produces an equal and opposite field to cancel that produced in the south antenna with the current going north. Since the currents are equal and opposite in direction in the radials the fields are also equal and opposite and cancel
There are no North and South antennas, only one antenna. Remember this is a single omni-directional monopole antenna over a symmetrical field of radials. So there is no phase reversal or cancellation.
Again.
The observer receives only the wave front headed toward him and not the radial wave front headed in other directions.
Waves headed in other directions never reach the observer's radio, unless they bounce off something and return (multipath) or travel around the world.
Yes they do. Consider two parallel radials inches apart. Since the current in each is going the same direction the radiated fields will be in phase and add. Compare this with the previous case where they are 180 degrees apart and the currents are going in opposite directions...the fields cancel though the currents are in phase where the radials are tied together to be returned to the transmitter. For a pair of radials not at 180 degrees, the field combination will be governed by a vector sine(theta) function which will not give cancellation at angles other than at 180 degrees and radiation lobes will result.
Neil
Since this is an omni-directional vertical monopole and the observer's radio is only affected by the single wavefront heading toward him, he never gets the delayed wavefronts you mention that are headed in other directions. (They don't change direction and swerve around toward his radio).
If the cancellation effect you claim was actually the case then, indeed an omni-directional pattern from a single monopole over symmetrical ground radials would be impossible, and as you said multiple
radiation lobes will result.
The entire antenna system is in phase and omnidirectional when viewed from directly above the tower and radiates equally in all directions with none of the directional phase cancellation effects you claim. An observer on the plane of the radials only receives the wavefront headed toward him, and that is not affected by the wavefronts traveling in other directions, unless some object causes reflection of the wavefront propagating in other directions and redirects it toward the observer.
Remember:
The observer receives only the wave front headed toward him and not the radial wave front headed in other directions. They are headed elsewhere.
Waves headed in other directions never reach the observer's radio, unless they bounce off something and return (multipath) or travel around the world.