Analysis of the extended defects in 3C-SiC.pdf - Nelson Mandela ...
Analysis of the extended defects in 3C-SiC.pdf - Nelson Mandela ...
Analysis of the extended defects in 3C-SiC.pdf - Nelson Mandela ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
43<br />
beam left-hand side g' = 0 g' = g<br />
g<br />
d 0<br />
<br />
e<br />
0: 2 is 0<br />
0 0 i <br />
'<br />
g (4.15)<br />
dz<br />
<br />
q<br />
0<br />
i g<br />
d g<br />
e<br />
<br />
g: 2 is g<br />
g i 0 ' g<br />
(4.16)<br />
dz<br />
q <br />
These equations may be written <strong>in</strong> <strong>the</strong> form,<br />
dT<br />
dz<br />
dS<br />
dz<br />
i<br />
isgT<br />
S ; (4.17)<br />
q<br />
g<br />
i<br />
is g S T ; (4.18)<br />
q<br />
g<br />
by means <strong>of</strong> <strong>the</strong> follow<strong>in</strong>g substitution,<br />
)<br />
z<br />
0 T ( z e ; (4.19)<br />
i<br />
g z<br />
g S(<br />
z e e ; (4.20)<br />
)<br />
i<br />
with i(<br />
s ) ' g . This is done to remove <strong>the</strong> dependence on <strong>the</strong> normal<br />
<br />
0<br />
absorption length and to render <strong>the</strong> equations more symmetric. Thus follow<strong>in</strong>g this<br />
procedure <strong>the</strong> solution to <strong>the</strong> problem is derived as follows. Equation 4.17 is written<br />
as,<br />
q<br />
g dT<br />
S s gq<br />
gT<br />
; (4.21)<br />
i<br />
dz<br />
and<br />
dS<br />
dz<br />
2 q<br />
g d T<br />
sg<br />
q<br />
i<br />
dz<br />
2<br />
g<br />
dT<br />
dz<br />
g<br />
i <br />
g<br />
0<br />
(4.22)