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Example text

C r o s s s e c t i o n a , s m a l l e r t h a n A, i s filled with a u n i f o r m p l a s m a . written a s = 1 - ( 1 t j c 2) The r e l a t i v e d i e l e c t r i c constant f o r t h e p l a s m a c a n he 2 m P An effective fvm where i s the p l a s m a f r e q u e n c y and w h e r e v m i s t h e effective collision f r e q u e n c y f o r t h e e l e c t r o n s . It is e a s y t o show that where E A 0 c = O i s t h e c a p a c i t a n c e i n the a b s e n c e of t h e p l a s m a , R z -a - H B t h e f i l l i n g f a c t o r defined a s A , and 1 y = m u .

This s y s t e m a t i c e r r o r depends on the e l e c t r o n density and b e c o m e s p r o g r e s s i v e l y w o r s e with i n c r e a s i n g e l e c t r o n density. The r e l a t i v e position of t h e two c u r v e s , t h e f i r s t b a s e d on the m i c r o w a v e i n t e r f e r o m e t e r d a t a and t h e second on t h e cavity data, i s u n c e r t a i n due t o t h e s y s t e m a t i c e r r o r s . be l a r g e s t i n t h e r a n g e w h e r e the two c u r v e s o v e r l a p .

The a s s u m p t i o n that the e l e c t r i c f i e l d d i s t r i b u t i o n i s the i d e a l TMOIO g e n e r a t e s a s y s t e m a t i c e r r o r b e c a u s e the r e a l e l e c t r i c field d i s t r i b u t i o n i s quite d i f f e r e n t . This s y s t e m a t i c e r r o r depends on the e l e c t r o n density and b e c o m e s p r o g r e s s i v e l y w o r s e with i n c r e a s i n g e l e c t r o n density. The r e l a t i v e position of t h e two c u r v e s , t h e f i r s t b a s e d on the m i c r o w a v e i n t e r f e r o m e t e r d a t a and t h e second on t h e cavity data, i s u n c e r t a i n due t o t h e s y s t e m a t i c e r r o r s .

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The Errors in Plasma Measurements by the Microwave Cavity Techniques by K-B. Persson


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