A novel approach using nonlinear surfaces for dynamic aperture optimization in MBA synchrotron light sources.

Area of Science:

• Accelerator Physics
• Synchrotron Radiation Science
• Computational Physics

Background:

• Modern MBA (multi-bend achromat) cell-based synchrotron light sources offer enhanced beam coherence and brightness.
• Controlling electron dynamics in these complex accelerators presents significant theoretical and technological challenges.
• Versatile tools are needed to optimize accelerator design and advance materials science.

Purpose of the Study:

• To introduce a novel formalism for analyzing and optimizing electron dynamics in MBA storage rings.
• To consider both on- and off-momentum particle dynamics within the analysis.
• To develop methods for improving the design of synchrotron light sources.

Main Methods:

• Utilizing nonlinear geometric surfaces represented by polynomial quasi-invariants.
• Defining objective functions based on these nonlinear surfaces.
• Employing genetic algorithm methods for optimization.

Main Results:

• Achieved a horizontal dynamic aperture exceeding 19 mm for the design particle in a synchrotron model.
• Demonstrated a dynamic aperture above 5 mm for momentum deviations of ± 3%.
• Validated the effectiveness of the proposed formalism for electron dynamics manipulation.

Conclusions:

• The developed formalism provides a powerful tool for analyzing and optimizing electron dynamics in MBA storage rings.
• This approach can significantly aid in the design of advanced synchrotron light sources.
• The method facilitates progress in manipulating electron dynamical properties for research at the diffraction limit.