Surface Profile Reconstruction from Scattered Intensity Data Using Evolutionary Strategies

Abstract

Abstract. We present a study of rough surface inverse scattering problems using evolutionary strategies. The input data consists of far-field angle-resolved scattered intensity data, and the objective is to reconstruct the surface profile function that produced the data. To simplify the problem, the random surface is assumed to be one-dimensional and perfectly conducting. The optimum of the fitness function is searched using the evolutionary strategies (µ, λ) and (µ + λ). On the assumption that some knowledge about the statistical properties of the unknown surface profile is given or can be obtained, the search space is restricted to surfaces that belong to that particular class. In our case, as the original surface, the trial surfaces constitute realizations of a stationary zeromean Gaussian random process with a Gaussian correlation function. We find that, for the conditions and parameters employed, the surface profile can be retrieved with high degree of confidence. Some aspects of the convergence and the lack of uniqueness of the solution are also discussed.

Inverse scattering simulation for a 1-D surface reconstruction

“…To retrieve the original surface profile from the measured far-field transmission intensity distribution, we adopt genetic algorithms [8,9,10]. …”

“…With Kirchhoff approximation, the scattered amplitude at the monochromatic s-polarization plane wave incidence can be written as [8,9] [ ]…”

“…Evolutionary strategies, i.e. genetic algorithms (GAs), are used in the surface profile reconstruction [8,9], an additional downhill simplex algorithm is also needed to optimize the solution of the profile [9]. Our approach is related, and draws some inspiration from their work, which applies the scattered intensity data with self-adaptation GA [10].…”

Inverse scattering with phase retrieval based on indirect holography via synthesised plane-waves

“…In addition, phase measurements are more sensitive to errors than amplitude acquisitions at these frequency bands. Thus, measurement systems are sometimes limited to the acquisition of the amplitude-only information, being necessary the development of new techniques for imaging and profile reconstruction using the available phaseless field data [18][19][20].…”

Experimental reconstruction for inverse scattering of one-dimensional surfaces

“…Since most photodetectors are only sensitive on the intensity, and the phase information of the waves is dropped, the inverse scattering based on intensity is practically, very useful. Evolutionary strategies are adopted in the surface profile reconstruction from scattered intensity data [8,9] . Our approach is related, and draws some inspiration from their work, which applies the scattered intensity data with self-adaptation genetic algorithm (GA) [10] .…”