TY - JOUR

T1 - A mesh free floating random walk method for solving diffusion imaging problems

AU - Sabelfeld, Karl K.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We suggest a new mesh free random walk method for solving boundary value problems in semi-infinite domains with mixed boundary conditions. The method is based on a probabilistic interpretation of the diffusion processes. Our simulations show that the suggested algorithm is extremely efficient for solving diffusion imaging problems, in particular, for calculating the defect contrast in cathodoluminescence (CL) and electron beam-induced current (EBIC) techniques. The method avoids to simulate the long diffusion trajectories. Instead, it exploits exact probability distributions of the first passage and survival probabilities.

AB - We suggest a new mesh free random walk method for solving boundary value problems in semi-infinite domains with mixed boundary conditions. The method is based on a probabilistic interpretation of the diffusion processes. Our simulations show that the suggested algorithm is extremely efficient for solving diffusion imaging problems, in particular, for calculating the defect contrast in cathodoluminescence (CL) and electron beam-induced current (EBIC) techniques. The method avoids to simulate the long diffusion trajectories. Instead, it exploits exact probability distributions of the first passage and survival probabilities.

KW - Cathodoluminescence

KW - EBIC imaging

KW - Green's function

KW - Random walk

KW - Survival probability

KW - DISLOCATIONS

UR - http://www.scopus.com/inward/record.url?scp=84994236131&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2016.10.006

DO - 10.1016/j.spl.2016.10.006

M3 - Article

AN - SCOPUS:84994236131

VL - 121

SP - 6

EP - 11

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

ER -