Application of iterative moment-method solutions to ocean surface radar scattering

Donohue, D. J.; Ku, Hwar-Ching; Thompson, D. R.

doi:10.1109/8.655459

Cited by 50 publications

(20 citation statements)

References 21 publications

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“…Effective and robust numerical techniques have been developed to solve such equations [9]- [11], [21]- [24]. However, this frequency-domain formulation assumes that the rough surface is "time-frozen," i.e., does not change with time.…”

Section: Application Of the Frequency-domain Integral Equation-bmentioning

confidence: 99%

Numerical simulations of scattering from time-varying, randomly rough surfaces

Toporkov

Brown

2000

IEEE Trans. Geosci. Remote Sensing

194

122

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Recent years have seen the development of robust and efficient numerical techniques for exact calculations of rough surface scattering. We discuss how such methods, typically formulated for time-independent surfaces, can be extended to calculate scattering from time-evolving ocean-like surfaces. Estimates are provided for the choice of parameters in such time-varying simulations. The method of ordered multiple interactions (MOMI) is used to calculate time-varying scattering from surfaces generated according to linear and nonlinear (Creamer) models for incidence angles ranging from normal to low grazing. We discuss the runtime considerations and demonstrate that combining the MOMI with a fast multipole method (FMM)-type acceleration technique makes large-scale time-varying Monte Carlo simulations possible. The average Doppler spectra of backscattered signals obtained from such simulations are compared for different incident angles, polarizations, and surface models. In particular, the simulations show a broadening of the Doppler spectra for nonlinear surfaces, especially at low grazing angles (LGA) and a separation of the vertical and horizontal polarization spectra at LGA for nonlinear surfaces. This spectral separation at LGA is not observed when the linear surfaces are used.Index Terms-Doppler spectrum, electromagnetic scattering by rough surfaces, low grazing angles, magnetic field integral equation, numerical methods, Pierson-Moskowitz spectrum.

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Section: Application Of the Frequency-domain Integral Equation-bmentioning

confidence: 99%

Numerical simulations of scattering from time-varying, randomly rough surfaces

Toporkov

Brown

2000

IEEE Trans. Geosci. Remote Sensing

194

122

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“…The normalized bistatic scattering coefficient is given as follows for the tapered wave incidence [22]:…”

Section: Integral Equations: Horizontal Polarizationmentioning

confidence: 99%

Numerical Characterization of Bistatic Scattering From Pec Cylinder Partially Embedded in a Dielectric Rough Surface Interface: Horizontal Polarization

Wang¹,

Li²

2009

PIER

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Abstract-Scattering from a two-dimensional (2-D) perfectly electrically conducting (PEC) cylinder partially embedded in a random dielectric rough surface interface is studied using the method of moments (MoM) with pulse basis functions and the point matching technique, for the case of horizontal polarization. The random rough surface is modeled using Gaussian statistical characteristic for the rough surface height and surface correlation function, and generated by the spectralmethod. The tapered plane-wave incidence is used to avoid artificial edge diffraction due to the truncation of the rough surface into finitelength rough surface in the numerical simulations. With the developed algorithms, the interactions between the dielectric rough surface and the partially buried PEC cylinder are investigated using the Monte Carlo simulation, and are expressed as a function of the root mean square (rms) height of a random dielectric rough surface and the moisture content of the soil. The numerical results show that the bistatic scattering coefficients are dependent upon the moisture content, the rms height of a rough surface, and other parameters.

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“…Earlier, Donohue et al [6] showed that the banded matrix interaction approximation (BMIA) approach for scattering from single-valued rough surfaces is equivalent to using a banded approximation of Z as a preconditioner with Richardson iteration.…”

Section: Developmentmentioning

confidence: 99%

Preconditioned iterative solution of scattering from rough surfaces

West

2000

IEEE Trans. Antennas Propagat.

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Extensions to the functionally identical forward-backward (FB) and method of ordered multiple interactions iterative techniques have recently been introduced that improve the convergence characteristics with specific scattering geometries. These extensions are shown to be mathematically equivalent to applying preconditioners to the discretized integral equation that is iteratively solved. The same preconditioners can be used with any iterative solution technique. Numerical examples show that the generalized minimal residual (GMRES) and bi-conjugate gradient-stable (BICGSTAB) algorithms give similarly rapid convergence when applied to a preconditioned discretized integral equation.Index Terms-Electromagnetic scattering by rough surfaces, iterative methods.

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Application of iterative moment-method solutions to ocean surface radar scattering

Cited by 50 publications

References 21 publications

Numerical simulations of scattering from time-varying, randomly rough surfaces

Numerical simulations of scattering from time-varying, randomly rough surfaces

Numerical Characterization of Bistatic Scattering From Pec Cylinder Partially Embedded in a Dielectric Rough Surface Interface: Horizontal Polarization

Preconditioned iterative solution of scattering from rough surfaces

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