Tilt-invariant theory of rough-surface scattering: I |
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Authors: | M. I. Charnotskii V. I. Tatarskii |
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Affiliation: | a New Mexico State University, Las Cruces, NM, USAb University of .Colorado/NOAA ETL, Boulder, CO, USA |
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Abstract: | The small-slope approximation (SSA) in rough-surface scattering theory uses the surface slope as a small parameter of expansion. But, from the physical point of view, the slope may not be a restrictive parameter because we can change the slope of a surface simply by tilting the coordinate system. We present the theory of rough-surface scattering in a coordinate-invariant form. The new method, tilt-invariant approximation (TIA), leads to a different expansion that does not require that the slope of a surface be small. For a small Rayleigh parameter this approximate solution provides the correct perturbation theory, for a large Rayleigh parameter it provides the Kirchhoff approximation with several correcting terms. |
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