Modeling of radiative properties of metallic microscale rough surface

Abstract

The radiative properties of a gold surface with one-dimensional Gaussian random roughness distribution were obtained with the finite-difference time-domain (FDTD) method and the recursive convolution treatment of the Drude Model. The bi-directional reflection distribution function (BRDF) for both TM mode and TE mode were obtained and compared with the highly accurate experimental data from the earlier work. The incident wavelength varies from 1.152 μm to 3.392 μm and incident angle is at 30°–70°, respectively. The results show that, the predicted values and experimental results are in good agreement. The highly specular peak in the BRDF is reproduced in the numerical simulations, and the increase of the TM mode BRDF is found to be attributed to the effect of a variation in the optical constant at the incident wavelength period.

Keywords

bi-directional reflection distribution function / Gaussian random roughness distribution / gold surface / finite-difference time-domain method

References

[1] BeckmannP., SpizzichinoA.The scattering of electromagnetic waves from rough surfaces [M], 1987NorwoodArtech House170-180

[2] DrolenB. L.. Bidirectional reflectance and secularity of twelve spacecraft thermal control materials [J]. AIAA Journal of Thermophysics and Heat Transfer, 1992, 6(4): 672-679

[3] HebbJ. P., JensenK. F., ThomasJ.. The effect of surface roughness on the radiative properties of patterned silicon wafers [J]. IEEE Transactions on Semiconductor Manufacturing, 1998, 11(4): 607-614

[4] TsangL., KongJ. A., DingK. H.Scattering of electromagnetic waves [M], 2000New YorkWiley215-219

[5] TangK., KawkaP. A., BuckiusR. O.. Geometric optics applied to rough surfaces coated with an absorbing thin film [J]. AIAA Journal of Thermophysics and Heat Transfer, 1999, 13: 169-176

[6] McgurnA. R., MaradudinA. A., CelliV.. Localization effects in the scattering by light from a randomly rough grating [J]. Physics Review, 1985, B31(8): 4866-4871

[7] MaradudinA. A., MichelT., McgurnA. R., MendezE. R.. Enhanced backscattering of light from a random grating [J]. Annals of Physics, 1990, 203: 255-307

[8] KnottsM. E., O’DonellK. A.. Measurements of light scattering by a series of conducting surfaces with one-dimensional roughness [J]. Journal of the Optical Society of America A, 1994, 11(2): 697-710

[9] YeeK. S.. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media [J]. IEEE Transactions on Antennas and Propagation, 1966, 14(3): 302-307

[10] BohrenC. F., HuffmanD. R.Absorption and scattering of light by small particles [M], 1983New YorkJohn Wiley & Sons233-246

[11] KunzK. S., LuebbresR. J.The finite difference time domain method for electromagnetics [M], 1993Boca RatonCRC Press68-76

[12] TafloveA., HagnessS. C.Computational electrodynamics: The finite-difference time-domain method [M], 20053rd Ed.BostonArtech House110-116

[13] ZhaoY., WangG. C., LuT. M.Characterization of amorphous and crystalline rough surface: Principles and applications [M], 2001San DiegoAcademic Press237-354

[14] PalikE. D.Handbook of optical constants of solids [M], 1985OrlandoAcademic Press50-60