Monte Carlo Methods for Radiation Transport: Fundamentals and Advanced Topics

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Springer, Oct 17, 2016 - Science - 281 pages

This book is a guide to the use of Monte Carlo techniques in radiation transport. This topic is of great interest for medical physicists. Praised as a "gold standard" for accurate radiotherapy dose calculations, Monte Carlo has stimulated a high level of research activity that has produced thousands of papers within the past few years. The book is designed primarily to address the needs of an academically inclined medical physicist who wishes to learn the technique, as well as experienced users of standard Monte Carlo codes who wish to gain insight into the underlying mathematics of Monte Carlo algorithms. The book focuses on the fundamentals—giving full attention to and explaining the very basic concepts. It also includes advanced topics and covers recent advances such as transport of charged particles in magnetic fields and the grid-based solvers of the Boltzmann equation.

 

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Contents

1 Introduction
1
2 Sampling Techniques
15
3 The Boltzmann Equation
49
4 Particle Trajectories Tallies and Variance Reduction
105
5 Transport of Charged Particles
140
6 Microdosimetry Elements of Stochastic Transport Theory
195
7 Grid Based Boltzmann Equation Solvers
224
A Probabilities and Statistics Refresher
251
B Useful Mathematics
265
List of Notations
269
Index
278
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About the author (2016)

Oleg N. Vassiliev has published over 70 papers in the field medical physics, radiation transport and Monte Carlo methods, including several highly cited papers on Monte Carlo methods in radiation therapy. He has applied Monte Carlo techniques to a wide variety of problems in the field, and was one of the leading collaborators in the development of grid-based solvers of the Boltzmann equation for radiotherapy dose calculations.