My PhD Thesis, PDF 3MB - Stanford University
My PhD Thesis, PDF 3MB - Stanford University
My PhD Thesis, PDF 3MB - Stanford University
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(1 )<br />
( 1) ( 2 ) ( 1) (1 )<br />
E ( r ; l , n ) H ( r ) a ( l, n ) ,<br />
11<br />
n 1 n p<br />
(1 )<br />
( 1) ( 1) ( 1) (1 )<br />
E ( r ; l , n ) H ( r ) a ( l , n ) ,<br />
12<br />
n 1 n p<br />
(1 )<br />
( 2 ) (1 ) (1)<br />
E ( r ; l , n ) ik H ( r ) a ( l , n ) ,<br />
21<br />
l o n p<br />
( j)<br />
( 1) ( j ) ( j )<br />
E ( r ; l , n ) ik H ( r ) a ( l , n ) ,<br />
22<br />
l o n p<br />
(1 )<br />
(1 ) (1 )<br />
E ( r ; l , n ) ( k ) 31<br />
<br />
2 ( 2 ) (1 ) (1 )<br />
H ( r ) a ( l , n ) ,<br />
o n p<br />
(1 )<br />
(1 ) (1 )<br />
E ( r ; l , n ) ( k ) 32<br />
<br />
2 (1 ) (1 ) (1)<br />
H ( r ) a ( l , n ) .<br />
o n p<br />
B-2 DERIVATION OF THE MODIFIED R/T MATRICES<br />
The boundary conditions, equation (3.13), can be rewritten as<br />
( j ) ( j ) ( j ) ( j) ( j ) ( j )<br />
D ( r ) c + D ( r ) C 11<br />
<br />
12<br />
<br />
( j ) ( j ) ( j ) ( j) ( j ) ( j )<br />
D ( r ) c + D ( r ) C 21<br />
<br />
22<br />
<br />
( j 1) ( j ) ( j 1 ) ( j 1 ) ( j ) ( j 1)<br />
D ( r ) C + D ( r ) C 11<br />
<br />
12<br />
<br />
( j 1) ( j ) ( j 1) ( j 1) ( j ) ( j 1 )<br />
D ( r ) C + D ( r ) C 21<br />
<br />
22<br />
<br />
Rearranging the left side and right side of equation (B-2.1), we have<br />
( j ) ( j ) ( j ) ( j 1 ) ( j ) ( j 1)<br />
D ( r ) c - D ( r ) C 11<br />
12<br />
<br />
( j ) ( j ) ( j ) ( j 1 ) ( j ) ( j 1)<br />
D ( r ) c - D ( r ) C 21<br />
22<br />
<br />
( j ) ( j ) ( j ) ( j 1 ) ( j ) ( j 1)<br />
- D ( r ) C + D ( r ) C 12<br />
<br />
11<br />
<br />
( j ) ( j ) ( j ) ( j 1 ) ( j ) ( j 1 )<br />
- D ( r ) C + D ( r ) C 22<br />
<br />
21<br />
<br />
- 163 -<br />
. (B-2.1)<br />
. (B-2.2)