Transient Prediction of Radiation Response in a 3-D Scattering-Absorbing Medium Subjected to a Collimated Short Square Pulse Train

Light propagation in biological tissue

“…Therefore, in this study, we are focusing on the deterministic numerical method. Different numerical methods were developed in the literature for solving the 3D RTE [13][14][15][16][17][18][19][20][21][22][23]. Due to the computationally expensive nature of the RTE and the challenging numerics, only few numerical solutions methods were developed for relevant 3D geometries using non-Cartesian grids [24][25][26][27][28] while those have important applications in biomedical optics.…”

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

“…The main function of the third term on the right side of (14) is to avoid local convergence. However, the differential Mathematical Problems in Engineering 5 evolution operation may lead to instability of the algorithm, so only when the objective function of the new particle is smaller than that of the last generation, (14) is applied as the position update equation. Otherwise, the position updates according to (12).…”

“…In recent years, the medical applications of short pulse laser, such as the laser tissue welding [5,6], the laser tissue ablation [7,8], the optical tomography in medical imaging [9], and the photodynamic therapy [10], have drawn more and more attentions all over the world. In particular, the short pulse laser of near-infrared spectrum is extensively used in noninvasive techniques to retrieve the characteristics of the semitransparent media such as the biological tissues and turbid media [11][12][13][14]. Theoretically 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 then 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.…”

Transient Radiative Transfer in a Graded Index Medium with Specularly Reflecting Surfaces

“…Wu et al [9,10] studied the TRT in multidimensional absorbing and anisotropically scattering media by solving the integral equation (IE) formulations. Guo et al [11][12][13] investigated the TRT characteristics by using radiation element method (REM) and discrete ordinate method (DOM). Maruyama et al [14] investigated TRT in three-dimensional participating media by using discrete ordinate radiation element method (DOREM).…”