The Electromagnetic Field Produced By a Helix

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The Electromagnetic Field Produced By a Helix
Ralph S Phillips
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Malin pi, and others. These investigations were based on a model con- sisting of a circular cylinder ^ich conducts only in a given helical direc- tion*. The symmetry of this idealisation corresponds to that of cylindrical coordinates so that such a model yields to the usual separation of variables approach. We have followed a different line of attack.
We start off by assuming that the effect of the monochromatic elect romsignetic field would be to induce a sinusoidal electric current on the hel
...ical conductor; and that this current travels along the helix with a real propagation constant^ in the axial direction. ♦♦ The electromagnetic field (for arbitrary ^d ) is in turn represented by means of the retarded vector potential [h, p. I65J • If the initial as8U0«ption as to the nature of the induced electric current on the helix is correct, then it is possible to determine^/ so that the proper boundary conditions at the helix are satisfied. In other words, we attempt to determine^ so that the electric field (as deter- mined by the retarded vector potential) vanishes in the helical direction on ♦ By helical direction we mean the direction of a rector field which, in cylin- drical coordinates, has the components r^ » 0, Vy = a, v-^ '

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