Finite and infinite H-plane bifurcation waveguide with anisotropic plasma medium

Abstract

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 .

Mode Matching Method for Anisotropic Guides

“…Although the details will be omitted here, the present solutions for A, B and C can be transformed to the forms (Lee, Lo, and Mittra, 1965) obtained by the Wiener-Hop£ technique and an exact correspondence between the two solutions can be made without difficulty.…”

“…Secondly, the transversely magnetized plasma medium was chosen be: cause explicit mode functions can be readily found for this case, whereas, for a general direction of the d-e magnetic field, one can at best find only formal solutions for the modes. A further consideration governing the choice was that the problem in question allowed an exact solution and the results could be compared to those derived by an-application of the Wiener-Hopf technique (Lee, Lo and _Mittra, 1965).…”