Electromagnetic Scattering by an Exponentially Distributed Rough Surface with the Introduction of a Rough Surface Generation Technique

摘要

The purpose of this investigation is to extend the capability of statistical modeling for the problem of electromagnetic scattering by random rough surfaces. A majority of prior studies considered the well known Gaussian joint probability density function (pdf), partly because of its mathematical convenience. About 25 years ago, a second pdf called exponential type was introduced and has since been used by several workers in the field. In this thesis it is shown that this exponential-type pdf fails to met an essential statistical requirement. To remedy this situation, an exponential pdf that satisfies all the statistical requirements is derived. The scattering properties of surfaces modeled by this new exponential pdf are then formulated. In the second part of this thesis a user-oriented computer program is developed to create random surfaces whose statistical description is at the will of the user requiring only the input of a monovariate pdf.