Fast numerical method for electromagnetic scattering by rough layered interfaces: propagation-inside-layer expansion method.

Electromagnetic scattering from a stack of two one-dimensional rough surfaces separating homogeneous media is modeled with a rigorous integral formulation solved by the method of moments. We present an efficient numerical method for computing the field scattered by such rough layers, in reflection as well as in transmission. We call this method propagation-inside-layer expansion (PILE) due to its straightforward physical interpretation. To our knowledge, it is the first method able to handle problems for this configuration with a huge number of unknowns. We study the convergence of this method versus a coupling condition and validate it by comparison with results from the literature.

[1]  D. Jackson,et al.  The validity of the perturbation approximation for rough surface scattering using a Gaussian roughness spectrum , 1988 .

[2]  Leung Tsang,et al.  Banded matrix iterative approach to Monte-Carlo simulations of scattering of waves by large-scale random rough surface problems: TM case , 1993 .

[3]  W. Chew,et al.  Numerical simulation methods for rough surface scattering , 2001 .

[4]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[5]  Lu,et al.  Scattering of electromagnetic waves from a bounded medium with a random surface. , 1994, Physical review. B, Condensed matter.

[6]  Anne Sentenac,et al.  TOPICAL REVIEW: Rigorous solutions for electromagnetic scattering from rough surfaces , 2001 .

[7]  Qin Li,et al.  Monte Carlo simulations of wave scattering from lossy dielectric random rough surfaces using the physics-based two-grid method and the canonical-grid method , 1999 .

[8]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[9]  I. Fuks,et al.  Wave diffraction by a rough boundary of an arbitrary plane-layered medium , 2001 .

[10]  D. Holliday,et al.  Forward-backward method for scattering from imperfect conductors , 1998 .

[11]  C. Guérin,et al.  A critical survey of approximate scattering wave theories from random rough surfaces , 2004 .

[12]  Joel T. Johnson,et al.  A novel acceleration algorithm for the computation of scattering from rough surfaces with the forward‐backward method , 1998 .

[13]  M. Saillard,et al.  Scattering from metallic and dielectric rough surfaces , 1990 .

[14]  Jun Q. Lu,et al.  Enhanced backscattering from a rough dielectric film on a reflecting substrate , 1991 .

[15]  Alexander G. Voronovich,et al.  Wave diffraction by rough interfaces in an arbitrary plane-layered medium , 2000 .

[16]  A. Maradudin,et al.  Numerical simulation of electromagnetic wave scattering from planar dielectric films deposited on rough perfectly conducting substrates , 1998, cond-mat/9808085.

[17]  Z Otremba,et al.  Modelling of the optical contrast of an oil film on a sea surface. , 2001, Optics express.

[18]  Miloslav Ohlídal,et al.  IV: Scattering of Light from Multilayer Systems With Rough Boundaries , 1995 .

[19]  D. Holliday,et al.  Forward-backward: a new method for computing low-grazing angle scattering , 1996 .

[20]  Daniel Maystre,et al.  Scattering from random rough surfaces: a beam simulation method , 1988 .

[21]  M. Saillard,et al.  Rigorous solutions for electromagnetic scattering from rough surfaces , 2001 .

[22]  Le-Wei Li,et al.  ELECTROMAGNETIC SCATTERING FROM A CIRCULAR TARGET ABOVE OR BELOW ROUGH SURFACE , 2003 .

[23]  V. Rokhlin.  Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[24]  Alexei A. Maradudin,et al.  Coherent scattering enhancement in systems bounded by rough surfaces , 1997 .

[25]  G. Toso,et al.  Electromagnetic scattering from bounded or infinite subsurface bodies , 1997 .

[26]  D. Thompson,et al.  Application of iterative moment-method solutions to ocean surface radar scattering , 1998 .

[27]  V. Rokhlin,et al.  The fast multipole method (FMM) for electromagnetic scattering problems , 1992 .

[28]  Antonio Iodice.  Forward-backward method for scattering from dielectric rough surfaces , 2002 .

[29]  C. Amra.  Light scattering from multilayer optics. I. Tools of investigation , 1994 .

[30]  Numerical solutions of the reduced Rayleigh equation for the scattering of electromagnetic waves from rough dielectric films on perfectly conducting substrates , 1997 .

[31]  D. Daniels.  Ground Penetrating Radar , 2005 .

[32]  C Amra,et al.  Theory and application of antiscattering single layers: antiscattering antireflection coatings. , 1986, Applied optics.

[33]  R. Coifman,et al.  The fast multipole method for the wave equation: a pedestrian prescription , 1993, IEEE Antennas and Propagation Magazine.

[34]  K. O'Donnell,et al.  Observations of backscattering enhancement from polaritons on a rough metal surface , 1995 .

[35]  G. Brown,et al.  A new numerical method for rough-surface scattering calculations , 1996 .

[36]  Leung Tsang,et al.  Monte-Carlo simulations of large-scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method , 1995 .

[37]  C. Amra.  Light scattering from multilayer optics. II. Application to experiment , 1994 .