New formulae for horizontal coherence from path integral theory
MetadataShow full item record
Previously published path integral results for the horizontal coherence length utilized an empirical relation for the phase structure function density that scaled as lag to the three-halves power. Here, a Taylor series expansion is carried out such that the phase structure function density scales instead as the second power of lag. consistent with other path integral coherence scales such as depth and time. The resulting integral equations are solved analytically. The new result shows the expected one over square-root range and one over frequency scalings, and it demonstrates more clearly how transverse coherence is sensitive to the space-time scales of ocean sound-speed perturbations.