skypy.power_spectrum.eisenstein_hu

skypy.power_spectrum.eisenstein_hu(wavenumber, A_s, n_s, cosmology, kwmap=0.02, wiggle=True)[source] [edit on github]

Eisenstein & Hu matter power spectrum. This function returns the Eisenstein and Hu fitting function for the linear matter power spectrum with (or without) baryon acoustic oscillations, c.f. [1] and [2], using formulation from Komatsu et al (2009) in [3].

Parameters:
wavenumber(nk, ) array_like

Array of wavenumbers in units of Mpc-1 at which to evaluate the linear matter power spectrum.

A_s, n_s: float

Amplitude and spectral index of primordial scalar fluctuations.

cosmologyastropy.cosmology.Cosmology

Cosmology object providing omega_matter, omega_baryon, Hubble parameter and CMB temperature in the present day.

kwmapfloat

WMAP normalization for the amplitude of primordial scalar fluctuations, as described in [3], in units of Mpc-1. Default is 0.02.

wigglebool

Boolean flag to set the use of baryion acoustic oscillations wiggles. Default is True, for which the power spectrum is computed with the wiggles.

Returns:
power_spectrumarray_like

Linear matter power spectrum in units of Mpc3, evaluated at the given wavenumbers for the input primordial power spectrum parameters A_s and n_s, cosmology, and kwmap normalization.

References

[1]

Eisenstein D. J., Hu W., ApJ, 496, 605 (1998)

[2]

Eisenstein D. J., Hu W., ApJ, 511, 5 (1999)

[3]

Komatsu et al., ApJS, 180, 330 (2009)