This is an erratum to the paper ‘Background for gravitational wave signal at LISA from refractive index of solar wind plasma’. In the original version of the manuscript Smetana (2020) an incorrect normalization of the resulting linear spectral densities |$\sqrt{S_{\mathrm{SW}}}$| has been applied. That lead to the overestimation roughly by factor of ∼1.5 of the LISA’s noise level caused by variations in the electron number density of the solar wind flowing through the LISA interferometric constellation.
Here we present corrected results: The correct normalization of the linear spectral densities |$\sqrt{S_{\mathrm{SW}}}$| is such that the fluctuation power given as an integral over all frequencies f of the power spectral density SSW(f) equals to the square of the standard deviation of the original data hSW(t). This basic rule has not been implemented correctly by the author relying on the in-built Wolfram Mathematica function ‘PowerSpectralDensity[h, f]’ which does not satisfy the standard normalization condition.
In black (thick) the proposed required sensitivity performance of the LISA observatory, |$\sqrt{S_{\mathrm{IFO}}}$|, is shown. In colour (thin) the linear spectral densities of the effective displacement, hSW(t), are shown, representing the solar wind plasma signal due to the variations of the solar wind electron number densities. For more detailed caption see the original publication Smetana (2020).
