hmfast.tracers.CMBLensingTracer
- class hmfast.tracers.CMBLensingTracer(profile=None)[source]
Bases:
TracerCMB weak lensing tracer.
- Attributes:
- profileMatterProfile
Matter profile used to model the CMB lensing convergence signal.
Methods
kernel(cosmology, z)Compute the CMB lensing kernel \(W_{\kappa,\mathrm{cmb}}(z)\) at redshift \(z\).
update([profile])Return a new CMBLensingTracer instance with updated attributes using PyTree logic.
- update(profile=None)[source]
Return a new CMBLensingTracer instance with updated attributes using PyTree logic.
- Parameters:
- profileMatterProfile, optional
New matter profile to use for the tracer. If None, the profile is unchanged.
- Returns:
- CMBLensingTracer
New tracer instance with updated attributes.
- kernel(cosmology, z)[source]
Compute the CMB lensing kernel \(W_{\kappa,\mathrm{cmb}}(z)\) at redshift \(z\).
The kernel is given by:
\[W_{\kappa_{\mathrm{CMB}}}(z) = \frac{3}{2} \Omega_m \left(\frac{H_0}{c}\right)^2 \frac{(1+z)}{\chi(z)} \frac{\chi_* - \chi(z)}{\chi_*}\]where \(\chi_*\) is the comoving distance to the last scattering surface.
- Parameters:
- cosmologyCosmology
Cosmology object with required methods and parameters.
- zfloat or array_like
Redshift(s) at which to compute the kernel.
- Returns:
- W_kappa_cmbarray_like
CMB lensing kernel evaluated at redshift(s) \(z\).