Related Experiment Videos
Perturbative formulation for nonlinear chromaticity of circular accelerators
Masaru Takao1, Hitoshi Tanaka, Kouichi Soutome
1SPring-8, Mikazuki, Sayo-gun, Hyogo 679-5198, Japan. takao@spring8.or.jp
Summary
We derived a new formula for nonlinear chromaticity in particle accelerators. This formula accurately predicts accelerator performance, matching measurements at the SPring-8 storage ring.
Area of Science:
- Accelerator Physics
- Particle Dynamics
- Nonlinear Optics
Background:
- Nonlinear chromaticity is crucial for particle dynamics in strong focusing circular accelerators, especially at far off-momentum.
- Understanding nonlinear chromaticity impacts accelerator performance and stability.
Purpose of the Study:
- To derive an exact perturbative formula for the nonlinear dispersion function in ring accelerators.
- To obtain higher-order expressions for nonlinear chromaticity up to the third order.
Main Methods:
- Derivation of the exact perturbative formula for the nonlinear dispersion function.
- Development of higher-order expressions for nonlinear chromaticity using the derived dispersion function formula.
- Numerical estimation of nonlinear chromaticity for the SPring-8 storage ring.
Main Results:
- An exact perturbative formula for the nonlinear dispersion function was derived, including explicit higher-order terms.
- Higher-order expressions for nonlinear chromaticity up to the third order were obtained.
- Numerical estimation of nonlinear chromaticity for the SPring-8 storage ring showed good agreement with experimental measurements.
Conclusions:
- The derived formulas provide accurate predictions for nonlinear chromaticity.
- The findings are validated by experimental data from the SPring-8 storage ring.
- This work contributes to a better understanding and control of particle dynamics in accelerators.