= Coherent wave field
{title2=$m=\mathbb E[E]$}
= Coherent field
{synonym}
In <wave propagation in a random medium>, the coherent field is the <expectation> of the complex wave amplitude, $m(\mathbf r)=\mathbb E[E(\mathbf r)]$. The remaining field $E-m$ has zero <expectation>. This is the <coherent and diffuse wave fields> decomposition. <Statistical homogeneity> of the medium does not make $m$ spatially constant when the incident field is localized: translation symmetry applies to the response together with its incident data. The coherent component can attenuate while the total <ensemble-averaged wave intensity> remains substantial.
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