How to calculate the integral $\int_a^\infty \int_0^{2 \pi}\rho\, \mathrm e^{i k \rho \cos(\phi-\theta)} \sin\phi\, \mathrm d \rho\, \mathrm d\phi$?

Question

How can I calculate below integral? Is there any analytical solution for below integral?

$$\int_a^\infty \int_0^{2 \pi}\frac{\rho}{(a^2+\rho^2)^{\frac{5}{2}}}\, \mathrm e^{i k \rho \cos(\phi-\theta)} \sin\phi\, \mathrm d \rho\, \mathrm d\phi$$