Increasing beam stability zone in synchrotron light sources using polynomial quasi-invariants.

Area of Science:

• * Accelerator Physics
• * Nonlinear Dynamics

Background:

• * Synchrotrons and storage rings require stable charged particle beams for operation.
• * Beam instability and resonance onset limit the dynamic aperture and operational efficiency.
• * Existing methods may not sufficiently address nonlinear dynamics affecting beam stability.

Purpose of the Study:

• * To propose a scheme for increasing the stability zone of charged particle beams in synchrotrons.
• * To inhibit resonances in phase space and improve the dynamic aperture of electrons.
• * To develop an optimization technique for enhancing beam stability in storage rings.

Main Methods:

• * Construction of a polynomial quasi-invariant near the phase space origin.
• * Derivation and numerical solution of coupled differential equations using symbolic computation.
• * Optimization of a defined objective function via a genetic algorithm.
• * Application to a third-generation synchrotron light source model.

Main Results:

• * The proposed scheme successfully increased the dynamic aperture of the electron beam.
• * Optimized objective function demonstrated inhibition of resonance onset in phase space.
• * Results showed good agreement when compared with established particle tracking simulations.
• * The technique proved effective for a third-generation synchrotron light source.

Conclusions:

• * The developed scheme offers a viable method to enhance charged particle beam stability in synchrotrons.
• * Optimizing the quasi-invariant is key to improving dynamic aperture and mitigating nonlinear effects.
• * This approach provides a valuable tool for designing and operating advanced storage rings.