Approximations of this operator are at the foundation of a class of method for the modeling of acoustic scattering in infinite medium, with the scatterer enclosed in the sphere and the Poincar? Steklov operator serving as a non-reflective ( or absorbing ) boundary condition.
2.
This acoustic scattering is analogous to the scattering of the light from a car's headlights in fog : a high-intensity pencil beam will penetrate the fog to some extent, but broader-beam headlights emit much light in unwanted directions, much of which is scattered back to the observer, overwhelming that reflected from the target ( " white-out " ).
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