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NumCosmo Reference Manual | ![]() |
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In order to study the statistical properties of the density fluctuation field at a certain scale , we use the window function. As an example, to compute the variance of the density contrast at scale R, we convolve the window function in the Fourier space with the power spectrum.
This function returns the top hat window function in the real space.
The mass enclosed within the volume selected by this window function is ,where is the mean density of the universe at redshift .
The top-hat window function in the Fourier space is given by
where is the spherical Bessel function.
This function returns the gaussian window function in the real space,
The mass enclosed within the volume selected by this window function is , where is the mean density of the universe at redshift .
This function returns the gaussian window function in the Fourier space,
This function returns the derivative with respect to R of the gaussian window function in the real space,