Effective Strength of Sinusoidally-Varying Focussing
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
Particle beam focussing and other confined physical systems often obey the equation ¨x = kx, where k < 0 implies stable motion. A constant negative value of k yields simple harmonic motion (constant focussing), while positive values give unstable (defocussing) motion. Alternating gradient focussing is the surprising principle that if k(t) is varied periodically, the overall motion can sometimes be stable even if the average value of k is zero or negative. It is used where focussing in one direction implies defocussing in one or more other directions, such as with electromagnetic fields in free space that have to satisfy ∇ · E = 0 and similar.
- Research Organization:
- Brookhaven National Laboratory (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- DOE Contract Number:
- SC0012704
- OSTI ID:
- 2530927
- Report Number(s):
- BNL--227926-2025-TECH; CA/AP/723
- Country of Publication:
- United States
- Language:
- English
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