- #1
sunrah
- 199
- 22
I'm having difficulty plotting the kernel [itex]I(k_{1},k)[/itex] of the cosmic shear power spectrum which is defined as
[itex]
I(k_{1},k) = k_{1}\int^{\infty}_{0}r j_{l}(k_{1}r)dr \int^{r}_{0}\frac{r-r'}{r'}j_{l}(kr')\sqrt{P^{\Phi\Phi}(k)}dr'
[/itex]
where the jl are spherical bessel functions.
I'v tried plotting I vs. k1 using python's sympy and scipy, but with no luck. My laptop is incredibly slow and I'm not thrilled by the results. It doesn't help that I can't see what this curve should look like. All assistance appreciated. If you know any helpful resources that would also be great.
[itex]
I(k_{1},k) = k_{1}\int^{\infty}_{0}r j_{l}(k_{1}r)dr \int^{r}_{0}\frac{r-r'}{r'}j_{l}(kr')\sqrt{P^{\Phi\Phi}(k)}dr'
[/itex]
where the jl are spherical bessel functions.
I'v tried plotting I vs. k1 using python's sympy and scipy, but with no luck. My laptop is incredibly slow and I'm not thrilled by the results. It doesn't help that I can't see what this curve should look like. All assistance appreciated. If you know any helpful resources that would also be great.