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An Introduction to the Ion-Optics of Magnet Spectrometers

An Introduction to the Ion-Optics of Magnet Spectrometers

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Solving <strong>the</strong> equations<br />

<strong>of</strong> Motion<br />

Methods <strong>of</strong> solving <strong>the</strong> equation <strong>of</strong> motion:<br />

1) Determine <strong>the</strong> TRANSPORT matrix.<br />

2) Code RAYTRACE slices <strong>the</strong> system in small<br />

sections along <strong>the</strong> z-axis and integrates numerically<br />

<strong>the</strong> particle ray through <strong>the</strong> system.<br />

3) Code COSY Infinity uses Differential Algebraic<br />

techniques <strong>to</strong> arbitrary orders using matrix<br />

representation for fast calculations

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