clevar.footprint.nfw_funcs module

clevar.footprint.nfw_funcs.nfw2D_profile(R, Rc, Rs)

Approximation for NFW 2D Profile

Parameters

• R (array, float) – Radius position on the profile in \(Mpc\)

• Rc (float) – Central radius parameter of the profile

• Rs (float) – Scale radius for normalization in \(Mpc\)

Returns

Sigma – Surface density in units of \(1/Mpc^2\)

Return type

array, float

Notes

taken from section 3.1 of arXiv:1104.2089, validated with Rs = 0.15 Mpc/h (0.214 \(Mpc\)) and Rcore = 0.1 Mpc/h (0.142 \(Mpc\)).

clevar.footprint.nfw_funcs.nfw2D_profile_flatcore(R, Rc, Rs, Rcore)

Approximation for NFW 2D Profile with a top-hat core

Parameters

• R (array, float) – Radius position on the profile in \(Mpc\)

• Rc (float) – Central radius parameter of the profile

• Rs (float) – Scale radius for normalization in \(Mpc\)

• Rc – Core radius of the profile in \(Mpc\)

Returns

Sigma – Surface density in units of \(1/Mpc^2\)

Return type

array, float