A Simplified Formulation for Rough Surface Cross-Polarized Backscattering Under the Second-Order Small-Slope Approximation

@article{Gurin2015ASF,
  title={A Simplified Formulation for Rough Surface Cross-Polarized Backscattering Under the Second-Order Small-Slope Approximation},
  author={Charles-Antoine Gu{\'e}rin and Joel T. Johnson},
  journal={IEEE Transactions on Geoscience and Remote Sensing},
  year={2015},
  volume={53},
  pages={6308-6314}
}
We present simplified expressions for the cross-polarized backscatter of a randomly rough surface predicted by the second-order small-slope approximation (SSA2). The simplification is based on appropriate polynomial approximations of the SSA2 kernel function. We obtain numerically efficient expressions for the cross-polarized backscattering amplitude of a deterministic surface in the form of a single space integral involving only the surface elevation and the second (mixed) derivative of the… CONTINUE READING

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