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

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.

[1]  K. Mitra,et al.  ANALYSIS OF LIGHT-PULSE TRANSPORT THROUGH TWO-DIMENSIONAL SCATTERING AND ABSORBING MEDIA , 2001 .

[2]  Y. Lam,et al.  Three-dimensional transient radiative transfer modeling using the finite-volume method , 2004 .

[3]  Kyunghan Kim,et al.  Ultrafast-laser-radiation transfer in heterogeneous tissues with the discrete-ordinates method. , 2003, Applied optics.

[4]  Li-Ming Ruan,et al.  On the discrete ordinates method for radiative heat transfer in anisotropically scattering media , 2002 .

[5]  Hong Qi,et al.  Inverse transient radiation analysis in one-dimensional non-homogeneous participating slabs using particle swarm optimization algorithms , 2011 .

[6]  Propagation of scattered radiation in a participating planar medium with pulse irradiation , 2000 .

[7]  Hong Qi,et al.  Application of homogenous continuous Ant Colony Optimization algorithm to inverse problem of one-dimensional coupled radiation and conduction heat transfer , 2013 .

[8]  Zhixiong Guo,et al.  ULTRAFAST RADIATION HEAT TRANSFER IN LASER TISSUE WELDING AND SOLDERING , 2004 .

[9]  Hui Zhao,et al.  Application of multi-phase particle swarm optimization technique to retrieve the particle size distribution , 2008 .

[10]  H. Qi,et al.  Retrieve properties of participating media by different spans of radiative signals using the SPSO algorithm , 2013 .

[11]  Hung-Yi Li,et al.  Inverse Radiation Problem in Two-Dimensional Rectangular Media , 1997 .

[12]  John C. Chai,et al.  ONE-DIMENSIONAL TRANSIENT RADIATION HEAT TRANSFER MODELING USING A FINITE-VOLUME METHOD , 2003 .

[13]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[14]  P. Hsu.  Effects of multiple scattering and reflective boundary on the transient radiative transfer process , 2001 .

[15]  S R Arridge,et al.  Optical imaging in medicine: I. Experimental techniques , 1997, Physics in medicine and biology.

[16]  B. Pogue,et al.  Near-infrared (NIR) tomography breast image reconstruction with a priori structural information from MRI: algorithm development for reconstructing heterogeneities , 2003 .

[17]  Joan Boulanger,et al.  Numerical developments for short-pulsed Near Infra-Red laser spectroscopy. Part II: inverse treatment , 2005 .

[18]  M. Modest.  Radiative heat transfer , 1993 .

[19]  Zhixiong Guo,et al.  Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates , 2011 .

[20]  Pranav Kumar,et al.  Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating medium , 2006 .

[21]  A. Heltzel,et al.  USING INVERSE ANALYSIS TO FIND OPTIMUM NANO-SCALE RADIATIVE SURFACE PATTERNS TO ENHANCE SOLAR CELL PERFORMANCE , 2012 .

[22]  Alexander D. Klose,et al.  Gradient-based iterative image reconstruction scheme for time-resolved optical tomography , 1999, IEEE Transactions on Medical Imaging.

[23]  H. Tan,et al.  Least-Squares Finite-Element Method of Multidimensional Radiative Heat Transfer in Absorbing and Scattering Media , 2007 .

[24]  Hong Qi,et al.  Application of multi-phase particle swarm optimization technique to inverse radiation problem , 2008 .

[25]  B. Hunter,et al.  Comparison of the Discrete-Ordinates Method and the Finite-Volume Method for Steady-State and Ultrafast Radiative Transfer Analysis in Cylindrical Coordinates , 2011 .

[26]  A constrained least-squares method for limited inverse scattering problems , 1988 .

[27]  Bin Liu,et al.  Inverse problem for aerosol particle size distribution using SPSO associated with multi-lognormal distribution model , 2011 .

[28]  Zhixiong Guo,et al.  Three-Dimensional Discrete Ordinates Method in Transient Radiative Transfer , 2002 .

[29]  Charles Elegbede,et al.  Structural reliability assessment based on particles swarm optimization , 2005 .

[30]  Hong Qi,et al.  Inverse radiation analysis of a one-dimensional participating slab by stochastic particle swarm optimizer algorithm , 2007 .

[31]  Hong Qi,et al.  Inverse radiation problem in one-dimensional slab by time-resolved reflected and transmitted signals , 2007 .

[32]  Hong Qi,et al.  A novel hybrid ant colony optimization and particle swarm optimization algorithm for inverse problems of coupled radiative and conductive heat transfer , 2016 .

[33]  Alexander D Klose,et al.  The forward and inverse problem in tissue optics based on the radiative transfer equation: a brief review. , 2010, Journal of quantitative spectroscopy & radiative transfer.

[34]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[35]  Li-Ming Ruan,et al.  Temperature response in absorbing, isotropic scattering medium caused by laser pulse , 2000 .

[36]  M. Akamatsu,et al.  Transient Prediction of Radiation Response in a 3-D Scattering-Absorbing Medium Subjected to a Collimated Short Square Pulse Train , 2013 .

[37]  M. P. Mengüç,et al.  Inverse radiation problem in axisymmetric cylindrical scattering media , 1993 .

[38]  H. Tan,et al.  Least-Squares Finite Element Analysis for Transient Radiative Transfer in Absorbing and Scattering Media , 2006 .

[39]  A. Welch,et al.  A review of the optical properties of biological tissues , 1990 .

[40]  D. Delpy,et al.  Optical Imaging in Medicine , 1998, CLEO/Europe Conference on Lasers and Electro-Optics.

[41]  Subhash C. Mishra,et al.  DISCRETE TRANSFER METHOD APPLIED TO TRANSIENT RADIATIVE TRANSFER PROBLEMS IN PARTICIPATING MEDIUM , 2003 .

[42]  R. Jain,et al.  Photodynamic therapy for cancer , 2003, Nature Reviews Cancer.

[43]  Joan Boulanger,et al.  An overview on recent radiation transport algorithm development for optical tomography imaging , 2008 .