I have a tricky integral of the form(adsbygoogle = window.adsbygoogle || []).push({});

∫∫[(L^4)((k_z)^2 + (k_p)^2)^2]/[(L^4)((k_z)^2 + (k_p)^2))^4 + (k_p)^2] * e^(i*k_z*z)*e^(i*k_p*cos(θ-θ_k))*dk_z*dk_p

which is arising in an inverse Fourier transform. I know that integrals somewhat like this appear in smectic liquid crystals but I can't find a solution offhand. It's also one of those things where Mathematica churns and spits out some unreadable nonsense.

Any ideas? No numerics please this is in relation to a Green's fn problem so there is guaranteed to be an analytic solution. Also if anyone thinks this could somehow be simplified by the convolution theorem I'm all ears.

The above is kind of hard to read so I've attached the integral as .png

-Ski

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# Inverse FT Integral

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