We present an approach to solving the radiative transport equation (RTE) for layered media in the spatial frequency domain (SFD) using Monte Carlo (MC) simulations. This is done by obtaining a complex photon weight from analysis of the Fourier transform of the RTE. We also develop a modified shortcut method that enables a single MC simulation to efficiently provide RTE solutions in the SFD for ...

The paper reviews the controversy on the shape of the fcc-based phase diagram near the triple point among the disordered (A1), L1z and L1o phases. The discrepancy was originally between the cluster variation method (CVM) results and Monte Carlo (MC) simulation results, but the controversy developed into how to interpret MC results. The paper examines historically how the controversy started, ho...

A Monte Carlo at next-to-leading order (MC@NLO) has been constructed for the production of heavy quark flavours in photoproduction. As such, it is the first Monte Carlo event generator with next-to-leading order (NLO) accuracy for a process in lepton hadron scattering. In order to construct such an MC@NLO, the matrix element for the process has to be calculated at NLO and then be matched with a...

In the last decade two dimensional device simulation based on the Drift-Diffusion (DD) model has been widely used and is still of remarkable importance for industrial purposes. When device size shrinks below one micron the electric field often becomes very high and undergoes rapid changes over a small distance. In this situation the DD model begins to fail, while the Monte-Carlo (MC) method bei...

ABSTRACT Monte Carlo (MC) simulation has been abundantly used for simulation of radiation transport (thermal, neutron, charged-particle etc) in matter. In thermal radiation, for example, surface radiosities and subsequent heat fluxes have been accurately determined in configurations which are difficult for deterministic formulations. In this paper, we consider estimation of the collision densit...

Original SPE manuscript received for review 5 October 2010. Revised manuscript received for review 3 February 2011. Paper (SPE 148542) peer approved 15 March 2011. Summary Swanson’s mean (SM) is heavily used within the oil and gas industry to approximate continuous probability distributions such as the log-normal. In this paper, we document the errors induced by this practice, which, as we show...

The Fermi LAT collaboration has built up a detailed Monte Carlo simulation to characterize the instrument response and tune its performance. The simulation code is built around the widely used GEANT4 toolkit and was carefully validated against beam test and flight data. This poster shows how the full LAT simulation is used to develop the event selection for the Cosmic-Ray Electron (CRE) analysi...

Estimating the left tail of quadratic forms in Gaussian random vectors is major practical importance many applications. In this letter, we propose an efficient sampling estimator that endowed with bounded relative error property. This property significantly reduces number simulation runs required by proposed compared to naive Monte Carlo (MC), especially when probability interest very small. Se...