ferdem
Full Member level 2
Hi friends! Does anybody want to comment on how to perform numerical integration of below identity known as plane wave representation of hankel function?
**broken link removed**
I know that it is an inverse fourier transform and inversion path should be handled carefully. What I try to handle are: singular points and branch points.
ky=sqrt(k^2-kx^2) therefore kx=k is a single point exploding the integral on k. Secondly, ky has two values due to the square root function. I deform the integral path by jumping on singular points so that I dont explode the function on kx=k and try to choose correct roots to obtain physically reasonable results. I would like to hear advices from fourier inversion experts. Thanks.
**broken link removed**
I know that it is an inverse fourier transform and inversion path should be handled carefully. What I try to handle are: singular points and branch points.
ky=sqrt(k^2-kx^2) therefore kx=k is a single point exploding the integral on k. Secondly, ky has two values due to the square root function. I deform the integral path by jumping on singular points so that I dont explode the function on kx=k and try to choose correct roots to obtain physically reasonable results. I would like to hear advices from fourier inversion experts. Thanks.