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THEORY OF RESONANCE RADIATION IMPRISONMENT
M. Vanmarcke, W. Wieme
To cite this version:
M. Vanmarcke, W. Wieme. THEORY OF RESONANCE RADIATION IMPRISONMENT. Journal de Physique Colloques, 1979, 40 (C7), pp.C7-39-C7-40. �10.1051/jphyscol:1979719�. �jpa-00219168�
JOURNAL DE PHYSIQUE CoZZoque C7, suppZ6ment n07, Tome 40, JuiZZet 1979, paae C7- 39
THEORY OF RESONANCE RADIATION IMPRISONMENT
M. Vanmarcke, W. Wieme.
Laboratorizm voor Natuurkunde, R i j k s u n i v e r s i t e i t , Rozier 44, Gent, Belgium
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r e s o n a n c e p h o t o n s e m i t t e d i n t h e t i m e i n - & - P ( v ) d ~ & ~ & " & ' ~ w ( r , t ) sin0 e e k v P d r d0 dm ( 4 ) t e r v a l d t b e t w e e n t h e d i s t a n c e s r a n d r + d r I t is t h a t as ' N I T S i s a t i m e i n d e - f r o m t h e a x i s a s ( F i g . 1 ) : p e n d a n t q u a n t i t y , t h e n w ( r , t ) = w ( r ) h a s t o
d t b e t i m e i n d e p e n d e n t t o o . Q u i t e s i m i l a r l y N r ( t ) w ( r , t ) d r 7
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I.-*." - .-"v") (5) B e c a u s e o f t h e e x p o n e n t i a l d e c a y o f N R a n d t h e t i m e d e p e n d e n c e o f w ( r ) we h a v e :
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n R ( r , t ) = ( 1
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V ( A , s ) = G ( K R , A , s ) ( 7 ) K : a b s o r p t i o n c o e f f i c i e n t a t t h e c e n t e r o f
t h e r e s o n a n c e l i n e . V ( A , s ) = w a ( r ) d r
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C o m p u t e r c a l c u l a t i o n s o f V a n d G w i t h p a r a - m e t e r s A a n d s u n d e r t h e a s s u m p t i o n o f e i t h e r n a t u r a l a n d p r e s s u r e b r o a d e n i n g o r d o p p l e r b r o a d e n i n g , show t h a t (71, c a n o n l y b e s a t i s f i e d f o r o n e u n i q u e v a l u e A. o f t h e p a r a m e t e r A ( F i g . 3 ) . W i t h t h i s A. w h i c h r e - m a i n s o f c o u r s e f u n c t i o n o f KR, w ( r ) i s
c o m p l e t e l y d e t e r m i n e d a n d t h e r e f o r e c a n s b e c a l c u l a t e d f r o m ( 4 ) .
F o r KR>lO we f i n d t h e f o l l o w i n g f o r m u l a s a ) n a t u r a l a n d p r e s s u r e b r o a d e n i n g :
T~ 0 , 6 3 7
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C o n c l u s i o n .
Our c a l c u l a t i o n s , c o m p a r e d t o H o l s t e i n ' s , g i v e a b o u t a 1 0 % l o w e r i m p r i s o n m e n t t i m e
f o r d o p p l e r b r o a d e n i n g , a n d t h e s a m e r e - s u l t s f o r p r e s s u r e b r o a d e n i n g , A t KR(10, o u r r e s u l t s c a n b e c o m p a r e d t o O r l o v [ 3 ] a n d S c h z f e r [ 4 ] . T h e i r a s s u m p t i o n s ( O r l o v : P=R, S c h g f e r : h o m o g e n e o u s e q u i l i b r i u m d i s t r i b u - t i o n , o r A = 0 ) l e a d t o some d i s c r e p a n c i e s w i t h o u r m o r e g e n e r a l c a l c u l a t i o n s .
R e f e r e n c e s .
[l]W.Wieme,P.Mortier,Physica 6 5 , 1 9 8 , 1 9 7 3 .
[aM.G.Payne e t al.,Phys.Rev.19,1050,1974.
[3]L.N.Orlov,Zh.Prik.Spektr.10,146,1969.
[ 4 ] ~ . ~ c h g f e r , Z . P h y s i k 2 6 1 , 4 2 3 , 1 9 7 3 .
DEFINITION OF THE DISTANCES p,=CD. p,sCE AND THE ANGLES 'f,,, AND Y,,,