Wavenumber response of the shear probe

The probe-response correction depends on the dimensions of the shear probe. For a commonly used shear probe the spectrum is corrected for the spatial averaging of the shear probe by multiplying it by the factor correction $1+{\left(\frac{k}{k_0}\right)}^2$ where $k_0$ = 50 cpm and $k$ is the wavenumber expressed in units of cpm (Macoun and Lueck, 2004). The correction reaches a factor of 10 at a wavenumber of 150 cpm, and it is not recommended to use spectral data beyond this wavenumber unless the probe is small and $k_0$ is larger than 50 cpm.