Particle dynamics in a wave with variable amplitude

Technical Report · Wed Jan 01 00:00:00 EST 1992

DOI:https://doi.org/10.2172/5868983· OSTI ID:5868983

Cary, J R

Our past research efforts led to the derivation of the adiabatic invariant in spatially varying accelerator structures, to the calculation of the loss of the invariant due to trapping, and to a method for determining transverse invariants using a nonperturbative approach to the Hamilton-Jacobi equation. These research efforts resulted in the training of two graduate students who are now working in the area of accelerator physics.

• Research Organization: Colorado Univ., Boulder, CO (United States). Dept. of Astrophysical, Planetary, and Atmospheric Sciences
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-86ER40302
• OSTI ID: 5868983
• Report Number(s): DOE/ER/40302-6; ON: DE92008340
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
BEAM DYNAMICS
ADIABATIC INVARIANCE
BEAM EMITTANCE
FREE ELECTRON LASERS
HAMILTON-JACOBI EQUATIONS
PROGRESS REPORT
TRAPPING
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
EQUATIONS
LASERS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics