We consider the problem of scattering of optical or electromagnetic waves from a family of irregular rough surfaces characterized by band-limited fractal functions. This method provides a unified and realistic method for examining rough surfaces without the use of random or periodic functions. We relate the angular distribution and the amount of energy in the specularly scattered field to the fractal characteristics of the surfaces by finding their analytical expressions under the Kirchhoff limit and calculating the scattering patterns.
© 1990 Optical Society of America
Original Manuscript: April 10, 1989
Manuscript Accepted: February 6, 1990
Published: June 1, 1990
Dwight L. Jaggard and Xiaoguang Sun, "Scattering from fractally corrugated surfaces," J. Opt. Soc. Am. A 7, 1131-1139 (1990)