The optimization methods for the thickness of the layer estimation using reflected waves

Abstract

The paper presents a method that allows the thickness of a compact bone layer and longitudinal wave velocity in the bone to be determined simultaneously with the use of reflected waves, with particular emphasis on the case of layers when the layer thickness is of the same order as the ultrasonic wavelength. This paper presents the use of optimization methods for estimation the thickness of a layer using inverse method. The studied structure is a multilayer structure composed of two layers solid and porous material. To solve the inverse problem, a multi-layer model and ultrasonic signals obtained from cortical and cancellous bone phantoms by the reflection method was used. The genetic algorithm implemented in the Matlab® package Optimization Toolbox applied to find solution the optimization problem. The results of simulation and experiments demonstrate that the thickness of layer was obtained with good accuracy.