The current distribution and input admittance of an infinitely long cylindrical antenna driven by a slice generator and immersed in an anisotropic plasma are investigated. The applied dc magnetic field is along the axis of the antenna. By superimposing the characteristic waves guided along the antenna, the current solution is obtained in the form of a one-dimensional integral, which is examined both analytically and numerically. When KJ. >0, the ma-dtude of the current decays slowly with the distance from the source, and its phase is nearly linear with a "propagation constant" equal to l / z k o for an antenna with very small radius. When KL

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Hard copy (HC) <&? l2 Microfiche (MF)J L (7 March 1965 Sponsored b y t h e Y a t i o n a l A e r o n a u t i z s and Space A d m i n i s t r a t i c n u n d e r Grant N s G -3 9 5Department of E l e c t r i c a l E n g i n e e r i n g E n g i n e e r i n g Experinwnt S t a t i o n Sponsored by t h e N a t i o n a l A e r o n a u t i c s and S p a c e A d m i n i s t r a t i o n u n d e r G r a n t N s G -3 9 5Department of E l e c t r i c a l E n g i n e e r i n g E n g i n e e r i n g Experiment S t a t i o n U n i v e r s i t y of I l l i n o i sUrb an a , I 1 1 i n o i s . ABSTRACT I n t h i s p a p e r , t h e problem of H-plane b i f u r c a t i o n i n a p a r a l l e l p l a t e waveguide f i l l e d w i t h homogenous, a n t i s o t r o p i c , t e m p e r a t e plasma is c o n s i d e r e d , The s t a t i c m a g n e t i c f i e l d i s assumed t o b e a l o n g t h e e d g e of t h e septum. By u s i n g t h e Wiener-Hopf t e c h n i q u e , t h e complete f i e l d s o l u t i o n s a r e o b t a i n e d f o r b o t h s e m i -i n f i n i t e and f i n i t e b i f u r c a t i o n s .

plete circle, only a few terms may be refunction of a nonuniform linear array. Thus, n=o + 1)1" tained for a reasonably good approximation in doing so, the circular array is related to a when the element spacing is small. This linear array. Returning to the uniform case, (9) method can be easily extended to the elliptiwhen dl= n ' . i.e., the arrav becomes a com-where J2n(xi is the Bessel function of the first kind of order 2n and argument x. Thus, (5) and (9) gk-e the total electric and magnetic fields, respectively, at any plane z due to the step input (1). The associated axial power density flow P,= E,H, is then given as the product.A s a partial check on these expressions i t is seen that for w P = O (no plasma) then &(z, t ) =7+' ,(z, t ) =Hoq,l(r-l) as should be.Using tables of Bessel functions [7], normalized plots of E,, H y , and P, were obtained and are shown in Fig. 2 for the case of