A Geometric Optics Experiment to Simulate the Betatronic Motion

  • Armando Bazzani
  • Paolo Freguglia
  • Leone Fronzoni
  • Giorgio Turchetti


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.


Refraction Index Geometric Optic Particle Accelerator Eikonal Equation Quaternion Algebra 


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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Armando Bazzani
    • 1
  • Paolo Freguglia
    • 2
  • Leone Fronzoni
    • 3
  • Giorgio Turchetti
    • 4
  1. 1.Dipartimento di FisicaINFN e CIG dell’Università di BolognaBolognaItaly
  2. 2.Dipartimento di Matematica Pura ed ApplicataUniversità degli Studi dell’Aquila and Domus GalilaeianaPisaItaly
  3. 3.Dipartimento di FisicaUniversità di Pisa, INFM e CISSC dell’Università di PisaPisaItaly
  4. 4.Dipartimento di FisicaINFN e CIG dell’Università di BolognaBolognaItaly

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