Plant canopy reflectance is calculated usinlg the got~ernin~ equation f)r photon transport. The integral equation of tran.sfer is solved by the Monte Carlo method. The main emphasis is on statistical estimation and simulation of the Marcov chain. The leaf dimensions are taken into account in obtaining the hot-spot effect of the canopy. Finally, nmnerieal results fi~r transport equation obtained...

We present an extension of the Analytic Discrete-Ordinates method to time-dependent transport in finite media. The application this technique is primarily accomplished through use a Laplace transform. In case media, system equations arises from enforcing boundary conditions. Instead directly solving system, we construct solution terms Neumann series. then show that can be neglected when numeric...

We report experimental measurement of radiation characteristics of fused quartz containing bubbles over the spectral region from 1.67 to 3.5 microm. The radiation characteristics were retrieved by an inverse method that minimizes the quadratic difference between the measured and the calculated spectral bidirectional transmittance and reflectance for different sample thicknesses. The theoretical...

An analytical version of the discrete-ordinates method (the ADO method) is used with recently reported analytical forms for the rigid-sphere scattering kernels to establish a concise and particularly accurate solution to the temperature-jump problem for a binary gas mixture described by the linearized Boltzmann equation. The solution yields, in addition to the temperature-jump coefficient for t...

Solutions of the integro-differential equation of radiation transfer via numerical methods were well known to suffer from two distinct shortcomings: (1) numerical smearing error due to spatial domain discretization, and (2) ray effect error due to angular discretization. In this study, it is shown that both error types exhibit dependence on both spatial and angular discretization. Proportionali...

Here light propagation and radiation transfer of ultrafast laser pulses in heterogeneous biological tissues are simulated by use of the discrete-ordinates method (DOM). Formulations for solving the time-dependent radiation-transfer equation are deduced for three-dimensional geometries incorporating the Fresnel specularly reflecting boundary condition and characteristics of ultrafast laser pulse...

While many numerical methods for the linear transport equation are available in literature 1D or on Cartesian meshes, fewer works dedicated to resolution of this model unstructured meshes. In context radiative hydrodynamics, we need a method capable handle wide range radiation regimes going from free-streaming diffusion and be coupled with Lagrangian hydrodynamics solver. paper design based mic...