Abstract
A new physically-based illumination model describing the interaction of light with a system composed of an isotropic substrate coated by an isotropic film with geometrically identical statistical rough boundaries (ITF) is presented. This model divides the intensity reflected from the system into three components: specular, directional-diffuse and uniform diffuse intensity. The formulas for the intensity reflected coherently (specular) and incoherently (directional-diffuse) from the system are derived within the framework of the scalar diffraction theory. Assuming that the slopes on the boundaries of the film are small, a first-order expansion of the reflection coefficient is used in the evaluation of the Helmholtz-Kirchhoff integral which allows to calculate the previous intensities. The consistency of the model is evaluated numerically and appraised visually by comparison with classic approximations.
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References
Beckmann, P., Spizzichino, A., “The Scattering of Electromagnetic Waves from Rough Surfaces”, Pergamon Press, 1963.
Born, M. and Wolf, E., 1964, Principles of Optics (Pergamon Press, Oxford).
Callet, P., “Interférences, couches minces et peintures métallisées”, International Journal of CADCAM and Computer Graphics, vol. 9, pp 251–264, Paris, 1994, Hermes.
Callet, P., “Couleur-lumière Couleur-matiere”, Diderot Editeur, Arts et Sciences, 1998.
Cook, R. L. and Torrance, K. E., “A Reflectance Model for Computer Graphics”, ACM transactions on Graphics, 1, 1982, pp. 7–24.
Godlewski, J., Kalinowski, S., Davoli, I. and Bernardini, R., 1987, Thin Solid Films vol. 146, 115.
Gondek, J.S., Meyer, G. W., Newman, J.G., “Wavelength Dependent Reflectance Functions”. Proceedings of Siggraph’94. In Computer Graphics.
He, X.D., Torrance, K. E., Sillion, F. X., Greenberg, D. P., “A Comprehensive Physical Model for Light Reflection”, Computer Graphics, Vol. 25, N. 4, 1991.
Hecht, E., 1987, Optics, 2nd Edition, Adison-Wesley Publishing Co.
Icart, I. and Arqués, D., “An Approach to geometrical and Optical Simulation of Soap Froth”, Computers & Graphics vol 23:3, Elsevier Science, 1999.
Meyer, G. W., “Wavelength Selection for Synthetic Image Generation”, Computer Vision, Graphics and Image Processing, vol. 41, 57–59, 1988.
Ogilvy, J. A., “Theory of Wave Scattering from Random Rough Surfaces”, Institute of Physics Publishing, Bristol and Philadelphia.
Ohlidal, I. and Lukes, F., “Ellipsometric parameters of rough surfaces and of a system substrate-thin films with rough boundaries”, Opt. Commun. 5, 1972.
Ohlidal, I., Navratil, K., “Scattering of light from multilayer systems with rough boundaries”, Progress in Optics, Vol. 34, Elsevier Science B.V, 1995.
Szczyrbowski, J., Dietrich, A. and Hoffmann H., 1982, Phys. Status Solidi a 69, 217.
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Icart, I., Arquès, D. (1999). An Illumination Model for a System of Isotropic Substrate- Isotropic Thin Film with Identical Rough Boundaries. In: Lischinski, D., Larson, G.W. (eds) Rendering Techniques’ 99. EGSR 1999. Eurographics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6809-7_23
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DOI: https://doi.org/10.1007/978-3-7091-6809-7_23
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