We proposed in a previous paper [Opt. Commun. 228, 33 (2003)] a modified radiative transfer equation to describe radiative transfer in a medium with a spatially varying refractive index. The present paper is devoted to the demonstration that this equation perfectly works in the non-absorbing / non-scattering limit, what was contested by L. Martí-López and coworkers [Opt. Commun. 266, 44 (2006)]...

We simulate convection near the solar surface, where the continuum optical depth is of order unity. Hence, to determine the radiative heating and cooling in the energy conservation equation, we must solve the radiative transfer equation (instead of using the diffusion or optically thin cooling approximations). A method efficient enough to calculate the radiation for thousands of time steps is n...

This article deals with a numerical solution of combined radiation and conduction heat transfer in gray participating (non-scattering) medium in a two-dimensional domain using triangular meshes. The radiative transfer equation is solved using the high order Discontinuous Galerkin method with an upwind numerical flux. The energy balance equation is discretized with a high finite order element me...

SCIATRAN is a comprehensive software package which is designed to model radiative transfer processes in the terrestrial atmosphere and ocean in the spectral range from the ultraviolet to the thermal infrared (0.18–40 μm). It accounts for multiple scattering processes, polarization, thermal emission and ocean– atmosphere coupling. The main goal of this paper is to present a recently developed ve...

Radiative heat transfer in a complex two-dimensional enclosure with an absorbing, emitting, and isotropically scattering gray medium is investigated by using the finite-volume method. In particular, an implementation of the unstructured polygonal meshes, based on an unstructured triangular system, is introduced, thereby reducing the computation time required for the analysis of thermal radiatio...

We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an initial value problem with excitation from a source which emits waves in a preferred, forward direction. The equation is derived in a regime with small random fluctuations of the wave speed but long distances of prop...

The advent of ultrafast lasers has brought many new applications, in particular in biomedicines and material processing, such as laser tissue ablation (Huang and Guo, 2010; Jiao and Guo, 2011), laser tissue soldering and welding (Kim and Guo, 2004), protein shock (Sajjadi et al., 2013), thermal response (Jiao and Guo, 2009), and the detection of tumors by using an exogenous fl uorescence agent ...

the purpose of this study is to implement a new modification of the variational iteration method (h-s-vim), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. the merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. furthermore the prop...