Diffraction of Electromagnetic Waves By a Plane Wire Grating
Diffraction of Electromagnetic Waves By a Plane Wire Grating
J Shmoys
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5, page 5 -12- eymmetrlc. In the present case we deal not with the radiation field of a line current, tnit with that of a unifora distrl'bation, on a line parallel to the y ajcls, of short current elements perpendicular to the y axis, all in the same direction and in phase. Let g(r, r') be the radiation field of a single current element in the T E problem; then ^^>/ g(r, r' ), the derivative of g with respect to the primed coordinates, in a direction perpendicular both to the y axis and the dir...ection of the current flow, is the radiation field in the T M problem. Although the above discussion applied to the radiation field of a single current element, it is immediately applicable to the field generated by currents on a set of lines, distance a apart, with the appropriate phase difference between successive lines. Thus ve have (22) r (a;x, !:;x', z») = r-:^ G(s;x, z;x«, z« ) where G is defined by Eq. (S). The field is then (23) (b -^, ^f ^(p i^) ^/'a, (s;r;r. )l ^''^ ^' ' ' inc ' sc ' n, p, a J v ^tV, ^ where G is differentiated in a direction normal to the wire surface.
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