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 [math]\displaystyle{ 1+\left( \frac{k}{k_0} \right)^2 }[/math] where [math]\displaystyle{ k_0 }[/math] = 50 cpm and [math]\displaystyle{ k }[/math] 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 [math]\displaystyle{ k_0 }[/math] is larger than 50 cpm.