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COSY Infinity is an arbitrary-order beam dynamics simulation and analysis code. It can determine high-order transfer maps of combinations of particle optical elements of arbitrary field configurations. For precision modeling, design, and optimization of next-generation muon beam facilities, its features make it the ideal code. The one component that needs to be included in COSY is the algorithm necessary to follow the distribution of charged particles through matter. Muon beams are tertiary production particles and high-intensity collection necessitates a large initial phase space volume. Therefore, accurate modeling of the dynamics and correction of aberrations is imperative. To study in detail some of the properties of particles passing through material, the transfer map approach alone is not sufficient. The interplay of beam optics and atomic processes must be studied by a hybrid transfer map - Monte-Carlo approach in which transfer map methods are used when there is no material in the accelerator channel, and Monte-Carlo methods when particles pass through material. Progress on the development of the hybrid algorithm is reported.
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