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Eastern Michigan University

2004

Mathematical models

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A Model For Radiation Interactions With Matter, Carrie Beck Jan 2004

A Model For Radiation Interactions With Matter, Carrie Beck

Senior Honors Theses and Projects

The intent of this project is to derive a realistic mathematical model for radiation interactions with matter. The model may be solved analytically, but I will also employ two computational methods, a finite difference method and a stochastic (Monte Carlo) method to gain insight into the physical process and to test the numerical techniques. Radiation interactions with matter constitute a large number of important scientific, industrial, and medical applications. This project will derive a model for the interaction of radiation with matter, which might allow one to compare different designs for shielding. It is also applicable in atmospheric physics in …