Propagation Along a Helical Wire

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Propagation Along a Helical Wire
W Sollfrey
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The differential equations so obtained (see below eqtiations 3, 21) are solved approximately, yielding a mode which propagates with the velocity of light along the direction of the wire. It may be noted that the coordin- ate system employed is not orthogonal. The fields of a helical sheath have 12 -7 been discussed by, among others, Kompfner, Pierce, Chu and Jackson-^, Brillouin, and Phillips and Malln-^. The fields of an infinitely thin helical 67 8 wire have been discussed by Roubine, Parzen,... and Phillips, and in an early 9 paper by Pochlington .
It has been generally realized that the theory of the helical sheath is inconsistent with the physical picture of an actiial helix. Thus, the fields which are obtained depend on the angle O, in cylindrical coordin- in0 ates, as e which means that the svirfaces of consteuit phase are stationary in space as we move in the axial direction. However, the fields should be ex- pected to turn at the same rate as the helix. Further, the boundary conditions at the sheath are satisfied for all Q, while th^ should only be satisfied at the wire itself.


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