Inverse Transient Radiative Analysis in Two-Dimensional Turbid Media by Particle Swarm Optimizations

Yatao Ren,Liming Ruan,Hong Qi,Qin Chen

doi:10.1155/2015/680823

Abstract

Three intelligent optimization algorithms, namely, the standard Particle Swarm Optimization (PSO), the Stochastic Particle Swarm Optimization (SPSO), and the hybrid Differential Evolution-Particle Swarm Optimization (DE-PSO), were applied to solve the inverse transient radiation problem in two-dimensional (2D) turbid media irradiated by the short pulse laser. The time-resolved radiative intensity signals simulated by finite volume method (FVM) were served as input for the inverse analysis. The sensitivities of the time-resolved radiation signals to the geometric parameters of the circular inclusions were also investigated. To illustrate the performance of these PSO algorithms, the optical properties, the size, and location of the circular inclusion were retrieved, respectively. The results showed that all these radiative parameters could be estimated accurately, even with noisy data. Compared with the PSO algorithm with inertia weights, the SPSO and DE-PSO algorithm were demonstrated to be more effective and robust, which had the potential to be implemented in 2D transient radiative transfer inverse problems.

Highlights

The problem of transient radiative transfer in participating media has attracted increasing interest over the last two decades due to the emergence of ultrashort pulse laser and its application to the picosecond level or higher accuracy level of time-resolved techniques [1]
The DE-Particle Swarm Optimization (PSO) algorithm shows its priority in reconstructing the inclusion properties
It can be seen that the size and location can be estimated accurately using PSO, Stochastic Particle Swarm Optimization (SPSO), and Differential Evolution-Particle Swarm Optimization (DE-PSO) without measurement errors under FI condition

Summary

Introduction

The problem of transient radiative transfer in participating media has attracted increasing interest over the last two decades due to the emergence of ultrashort pulse laser and its application to the picosecond level or higher accuracy level of time-resolved techniques [1]. Speaking, the research emphases of noninvasive reconstruction technology are focused on using the model-based iterative imaging reconstruction techniques, which employ a precise and efficient numerical forward model based on solving complete transient radiative transfer equation (TRTE) and establish a proper inverse algorithm to retrieve the optical property parameters or internal geometry of the medium by using the measured time-resolved transmittance and reflectance signals. Many gradient-based techniques have been employed in the inverse radiation analysis such as the constrained least-squares method [27], the conjugate gradient (CG) method [28], and LevenbergMarquardt method [29] All these traditional methods depend on the initial value or the derivatives and gradients which are difficult to be solved accurately by numerical simulation in some cases.

The Direct Model

The Inverse Model

Results and Discussion

Conclusions

F: The objective function