here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
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Padé [1,1] Boundary Conditions<br />
• [1,1] Padé Approximation<br />
−1+<br />
1+<br />
H ≈<br />
• Claerbout’s Equation<br />
H / 2<br />
1+<br />
H / 4<br />
⎡⎛ 1 H ⎞ ∂ H ⎤<br />
⎢⎜<br />
+ ⎟ + δ ( , , )<br />
4 2<br />
⎥ E x y z<br />
⎣⎝<br />
⎠ ∂z<br />
⎦<br />
=<br />
• Boundary Condition Equation ( n b<br />
= n 0 )<br />
⎛<br />
⎜1<br />
+<br />
⎝<br />
X<br />
4<br />
0<br />
⎞⎡1−<br />
s ⎤<br />
⎟⎢<br />
E(<br />
z<br />
z ⎥<br />
⎠⎣<br />
∆ ⎦<br />
+ ∆z)<br />
X<br />
= − δ<br />
4<br />
0<br />
(1 +<br />
0<br />
s)<br />
E(<br />
z<br />
+ ∆z)<br />
<strong>Faculty</strong> <strong>of</strong> <strong>Science</strong> - Department <strong>of</strong><br />
Physics 5/3/2009<br />
D. Yevick - Evolution Operators and<br />
Boundary Conditions<br />
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