Oh, I would not have figured out that myself! I've never seen the Bessel function before, but it seems to give me the same answer when I'm solving it numerically in Matlab so therefore I'm happy!
Thanks alot, that really helped me! :smile:
I have big problems solving this integration:
\int_{-a}^{a}\sqrt{a^2-x^2}e^{i(kx-wt)}dx
I did an substitution with:
x=a*sin(u)
Which gave me:
\int_{-{pi}/2}^{{pi}/2}a^2cos^2(u)e^{i(kasin(u)-wt)}du
But i don't know if that did it any better, cause i can't figure out how to go on from...