Excitation of Surface Waves On a Unidirectionally Conducting Screen By a Phased
Excitation of Surface Waves On a Unidirectionally Conducting Screen By a Phased
Samuel Karp
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The expression for u then becomes (3. 7) ojep3 K -i5Tt/U cos 9 / 2 ^ ~* h ^ (k-K cos 9)(k + K cos 9) \] itkR exp{ipx + ikR ± Ikz^ sin 9} where the plus sign holds above the screen (z > 0) and the minus sign below (z < 0).
-9- The scattered fields are given in terms of u by (2. 8) and (2-91 Using the operators given by (3. 6), we find , 2 2 .^ /, 2 P3 K -l^n/h cos Q r^ X k (k-K cos 0)(k+K cos 9) n/ jtkE • expfipx + iitR ± iKz„ sin 9] (3. 8) e -4 - ^ g-i3«/^ ^Q3 Q / _^ g{ipx + iKR + iKz^ sin 9} P Pk -i3ir/U sin 9 cos 9 / 2 ij- (k-K cos 9)(k+K cos 9) \/ itkR z and . Exp{ipx + iKiR ± IkZq sin 9] ojgpPK -i3rt/^ sin 9 cos 9 X k (k-K cos 9)(k+K cos 9) \J ttkR . Exp[ipx + iKiR ± iKZ^ sin 9] (3. 9) h ^0 p ujep3 k: -i3Jt/U cos 9 z ^ ~ i| (k-K cos 9)(k+K cos 9) \/ jtkR •expfipx + iKR ± iKZ„ sin 9}.
The same convention regarding signs above and below the screen still holds.
We next determine the cylindrical components of the scattered far field. Note that e = e X X (3. 10) e„ = e cos 9 + e sin 9 ^ R y z e„ = -e sin 9 + e cos 9 9 y z -10- and similarly for the magnetic field components.
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