- #1
Hipp0
- 11
- 0
Homework Statement
http://img42.imageshack.us/img42/1082/clipboard01lx.jpg
Homework Equations
(see solution)
The Attempt at a Solution
I literary just spent 5 hours trying to apply those boundary conditions, trying exponentials, sines, cosines, hyperbolic function etc... I always get complex numbers in the final solution :( but it's not physical to get complex numbers there :(
Note: Aw and Bw are just constants (w is an index).
http://img189.imageshack.us/img189/4475/94889151.jpg
Any ideas where I went wrong? General solution seems fine, maybe I'm misunderstanding the boundary conditions? And in my final answer I tried expanding [tex]\sqrt{i}=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}i[/tex] and then using cos(A+B) formula and writing the result using hyperbolic sines and cosines, but it's still complex :(
Thanks
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