Hello all. I am currently stuck with trying to compute the following

[tex]u_{\infty}^s(r) = \sqrt{\dfrac{i}{8\pi \omega}} \int_{\Omega} e^{-iw(\hat{r}-\hat{s})\cdot x} \eta(x), dx[/tex]

With r and s being the direction of the source wave and r being the direction of the received wave. When I compute this on a domain with just a solid shape (such as a circle with constant speed of sound - here a different omega value) I get a value and retrieve a far field pattern. But on this problem domain I just get 0.

Thank you for your help!

https://ngsolve.org/media/kunena/attachments/1496/Forward Pass.txt

Attachment: ForwardPass.txt

Attachment: ForwardPass_2021-03-03.txt