Path derivation for a wave scattered model to estimate height correlation function of rough surfaces

TL;DR

This paper introduces a novel 'path derivation of scattered wave' method within Kirchhoff theory to directly estimate the height correlation function of rough surfaces from scattered wave measurements, aiding surface characterization.

Contribution

The paper presents a new inverse scattering approach that allows direct measurement-based estimation of surface height correlation functions, improving upon existing indirect methods.

Findings

Method successfully estimates height correlation functions from scattered intensity data.

Numerical tests validate the effectiveness of the proposed approach.

An experimental setup is proposed for practical implementation.

Abstract

The long standing problem on finding the height correlation function is studied by the inverse scattering problem. We propose a new method in the frame work of Kirchhoff theory which we call "path derivation of scattered wave (PDSW)" in order to obtain an expression for direct measurements of the height correlation function. This would provide adequate insight to rough surfaces. The efficiency of this method is due to the fact that the height correlation function could be estimated directly by measurements of the scattered intensity on a suggested path. The model is tested numerically and an experimental setup is suggested.