JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - UNPB AU - Hiraiwa, T. ED - Zimmermann, Frank ED - Tanaka, Hitoshi ED - Sudmuang, Porntip ED - Klysubun, Prapong ED - Sunwong, Prapaiwan ED - Chanwattana, Thakonwat ED - Petit-Jean-Genaz, Christine ED - Schaa, Volker R.W. TI - Interpretation of Particle Motion in a Circular Accelerator as Diffraction of Light J2 - Proc. of IPAC2022, Bangkok, Thailand, 12-17 June 2022 CY - Bangkok, Thailand T2 - International Particle Accelerator Conference T3 - 13 LA - english AB - Inspired by Fermat’s principle of geometric optics 200 years ago, famous Dr. Hamilton built Hamiltonian mechanics based on the principle of minimal action. Since then, optics and mechanics have developed while stimulating each other. A new hidden link between optics and mechanics was recently found on particle motion in a circular accelerator. A forced harmonic oscillator is often used as a model to describe particle motion in a circular accelerator. Such a model sometimes assumes that, eigen frequency or frequency of the external force is changed slowly with time to simulate, for example, resonance crossing, beam dump by turning off the RF power, resonance extraction, etc. in circular accelerators. In such cases, particle motion is well described by using formulae for Fresnel or Fraunhofer diffraction, depending on simulation conditions. This presentation will comprehensively show what is essential mechanism to link resonance phenomena of mechanics and optical diffraction, relation between the real accelerator model and the harmonic oscillator, and possibility of this knowledge to apply investigation of beam dynamics in a particle accelerator. PB - JACoW Publishing CP - Geneva, Switzerland ER -