Isochronous Accelerator Main Magnet Gradient Design
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Solution Overview
Problem
Isochronous accelerators face challenges in achieving strong focusing due to the spiral-shaped orbit, which limits the arrangement of quadrupole, sextupole, and octupole magnets, and current technologies rely on time-consuming numerical simulations without clear theoretical guidance.
Innovation Solution
The method involves varying the magnetic field gradient over a large radial range in the main magnet of the isochronous accelerator, introducing first-order, second-order, and third-order magnetic field gradients to achieve enhanced focusing, chromaticity compensation, and resonance handling, similar to the effects of quadrupole, sextupole, and octupole lenses.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quadrupole, sextupole, and octupole magnets are arranged along the spiral orbit of an isochronous accelerator, then strong focusing and chromatic correction can be achieved, but the device complexity and manufacturing difficulty increase significantly
Solution Approach 1:
The patent merges the functions of dipole bending magnets with quadrupole, sextupole, and octupole focusing magnets into a single integrated magnet structure. This combination allows the magnet to simultaneously provide bending and focusing effects, eliminating the need for separate magnet arrangements along the spiral orbit while achieving strong focusing and chromatic correction
Solution Approach 2:
The main magnet is designed to perform multiple functions: it acts as both a dipole bending magnet and incorporates quadrupole, sextupole, and octupole components for focusing and chromatic correction. This multi-functional design simplifies the overall accelerator structure by eliminating the need for separate specialized magnets along the orbit
2Reliability
If multiple types of magnets are distributed along the spiral orbit to achieve strong focusing, then beam quality improves, but the ease of manufacture and installation deteriorates
Solution Approach 1:
The patent combines multiple magnet types into a single integrated main magnet structure, reducing the number of separate components that need to be manufactured and installed. This merger maintains beam quality through internal field configuration while significantly simplifying manufacturing and installation processes
3Power
If the magnetic field gradient is varied in a large radial range to achieve strong focusing, then beam intensity and power increase, but the manufacturing precision requirements increase
Solution Approach 1:
The patent varies the magnetic field gradient parameters in a large radial range within the integrated magnet structure to achieve strong focusing. By controlling the radial variation of the magnetic field gradient, the system achieves high beam intensity while the field configuration itself provides the necessary focusing precision
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach enables the achievement of strong focusing and continuous wave acceleration, breaking through energy limits and enhancing beam intensity and power, while providing a more efficient and theoretically grounded design process.
Implementation Method 1
a magnetic field distribution is given by a formula of: B(r,θ)=B0γ(r)[1+f cos Nθ],N≥3 wherein B0 is a central magnetic field, γ is a relativistic factor, N is the number of sectors, f is a flutter of a magnetic field and θ is an angular position
Implementation Method 2
it is necessary to obtain stronger axial focusing force based on the transverse alternating magnetic field gradient focusing
Implementation Method 3
introducing a first-order, a second-order, and a third-order magnetic field gradients in the large radial range of the main magnet of the isochronous accelerator to achieve an enhanced focusing, compensation of chromaticity, handling of resonances
Data Source
AI summary
The present application provides a method for obtaining strong focusing of an isochronous accelerator by varying the magnetic field gradient in a large radial range. The method is characterized by the main magnet of the isochronous accelerator providing not only a bending effect but also a focusing effect, equivalent to the effects of quadrupole, sextupole, and octupole magnets used in a synchrotron accelerator.