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Re: LF: polarization of small loops

To: [email protected]
Subject: Re: LF: polarization of small loops
From: "James Moritz" <[email protected]>
Date: Thu, 11 Jul 2002 19:26:04 +0100
In-reply-to: <[email protected]>
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Dear Rik, LF group,

At 14:36 10/07/2002 +0200, you wrote:
What about small loops ?
I found several descriptions of small transmitting loops close to ground and there loops were fed at different places (center horizontal side, at the edges). Polarization seems to be vertical in all cases. And what about a small loop is free space ? Current distribution is uniform over the entire loop, regardless of the feeding point. So one would expect always the same polarization (but which one ?). Unless also the voltage distribution plays a role.
In the far field, the E field vector of a small loop is always parallel to the plane of the loop and at right angles to the direction of propagation - so an observer standing on the ground the E-field is always vertical for a vertical loop, irrespective of where the loop is being fed. The assumption made for a small loop is that the current is constant throughout the loop, and since it is the current that is responsible for the production of the radiated waves, it makes no difference if the loop is rotated around its axis, which is effectively the same thing as changing the feed point.

If there is no ground plane, ie. in free space there is no meaningful way of distinguishing horizontal and vertical, so one just talks of "linear" polarization, with an angle relative to some convenient set of coordinates - bur the E field will still always be at right angles to the direction of propagation and parallel to the plane of the loop.

BTW, does anybody know what the directive gain of a small, vertical loop above a ground plane is? The text books always talk about loops in free space - for a loop in free space it is 1.5, same as for an infinitesimal dipole. But I would imagine that when very close to an ideal ground plane the directive gain would increase by 3dB to 3, by analogy with a short monopole over a ground plane. This would also increase the radiation resistance of the loop by a factor of 2, as in the case of a monopole versus a free-space dipole of the same length. These factors would make a significant difference in the calculation of the relative efficiency of loop vs, vertical TX antennas.

Cheers, Jim Moritz
73 de M0BMU



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