The Mueller matrix for rough surface scattering using the Kirchhoff approximation

Abstract The Kirchhoff approximation is used to find the scattered intensities and the Mueller matrix for a gaussian surface with standard deviation of height σ=1.22 μm and correlation length τ=3.18 μm using a wavelength of λ=0.633 μm. The cases of gold ( n =0.167+ i 3.149) and dielectric ( n =1.41) surfaces are considered. Results are compared with experimental observations and are shown to give good agreement. The single and double scattered intensities are shown to be fully polarised for both cases whereas the total (single plus double) shows a strong unpolarised component for the gold case. This effect is understood by considering that the single and double scatter terms are partially coherent and at right angles to each other.

[1]  Emil Wolf,et al.  Principles of Optics: Contents , 1999 .

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

[3]  A. J. Sant,et al.  Comparison of surface scattering between identical, randomly rough metal and dielectric diffusers. , 1989, Optics letters.

[4]  Akira Ishimaru,et al.  Scattering from very rough surfaces based on the modified second‐order Kirchhoff approximation with angular and propagation shadowing , 1990 .

[5]  William S. Bickel,et al.  Stokes vectors, Mueller matrices, and polarized scattered light , 1985 .

[6]  Neil C. Bruce,et al.  Multiple Scattering from Random Rough Surfaces Using the Kirchhoff Approximation , 1991 .

[7]  Michael E. Knotts,et al.  Polarization dependence of scattering from one-dimensional rough surfaces , 1991 .

[8]  M. Nieto-Vesperinas,et al.  Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surfaces. , 1987, Optics letters.

[9]  K. A. O'Donnell,et al.  Observation of depolarization and backscattering enhancement in light scattering from gaussian random surfaces , 1987 .

[10]  Ari T. Friberg,et al.  Experimental study of enhanced backscattering from one- and two-dimensional random rough surfaces , 1990 .

[11]  A. Ishimaru,et al.  Numerical simulation of the second‐order Kirchhoff approximation from very rough surfaces and a study of backscattering enhancement , 1990 .

[12]  A. Maradudin,et al.  Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating. , 1989, Optics letters.

[13]  Multiple Scattering from Rough Dielectric and Metal Surfaces Using the Kirchhoff Approximation , 1991 .

[14]  Arthur R. McGurn,et al.  Enhanced backscattering of light from a random grating , 1990 .

[15]  Eugenio R. Mendez,et al.  Experimental study of scattering from characterized random surfaces , 1987 .

[16]  Akira Ishimaru,et al.  Scattering from very rough metallic and dielectric surfaces: a theory based on the modified Kirchhoff approximation , 1991 .

[17]  Manuel Nieto-Vesperinas,et al.  Electromagnetic scattering from very rough random surfaces and deep reflection gratings , 1989 .