A Geometric Optics Experiment to Simulate the Betatronic Motion
We consider the analogy between geometric optics and mechanics to simulate the betatronic motion in a particle accelerator by using an optic experiment. Some experimental results are discussed and the main difficulties to improve the actual performances are briefly presented. We also introduce a representation of a ray trajectory by means of the quaternion numbers that can be used to study the geometrical properties.
KeywordsRefraction Index Geometric Optic Particle Accelerator Eikonal Equation Quaternion Algebra
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