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Example: Magnetic Quadrupole Lens

Example: Magnetic Quadrupole Lens. Introduction. This is an example model of a system of magnetic quadrupoles for use in a nuclear accelerator The beam consists of Be 5+ ions, traveling through three consecutive magnetic quadrupoles with the velocity 0.01 c .

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Example: Magnetic Quadrupole Lens

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  1. Example:Magnetic Quadrupole Lens

  2. Introduction • This is an example model of a system of magnetic quadrupoles for use in a nuclear accelerator • The beam consists of Be5+ ions, traveling through three consecutive magnetic quadrupoles with the velocity 0.01c. • The quadrupole triplet acts as a lense, focusing the beam in the transversal plane.

  3. 3D Geometry magnets iron N inward S inward

  4. 2D Geometry iron M magnet Cross section of the 3D geometry

  5. The magnetic field distribution. Results

  6. The magnetic field distribution and approximately hyperbolic contour lines for the magnetic potential. Results

  7. Particle tracing in 2D is done with a logic expression reversing the polarity of the force when the ions are in Q2. Particle Tracing • The force on an ion is given by drift (1m) Q1 (1m) Q3 (1m) Q2 (2m)

  8. Magnetic field and ion trajectories. Results

  9. Results Q1 Q2 Q3 drift 1 cm 3 cm • Ions starting from R = 3 cm all arrive within R = 1 cm.

  10. Magnetic field and ion trajectories. Results 3D

  11. Ion trajectories only. Color scale shows local force on each ion. Results 3D

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