Engineering sub-discipline that builds, operates, and characterises particle accelerators: beam dynamics, RF acceleration, magnetic lattices, synchrotron radiation, beam instrumentation. The experimental substrate of high-energy physics…
accelerator-physics
Beam dynamics
Description of charged-particle ensembles in linear lattices using transverse Hill equation x'' + K(s)x = 0 with periodic K(s).…
RF cavity
Resonant electromagnetic structure (pillbox, elliptical, superconducting-Nb) that delivers energy gain per pass ΔE = qV cos φ_s to…
Synchrotron / storage ring
Closed circular accelerator in which magnetic field is ramped with beam energy to keep radius constant. Equilibrium emittance set by…
Linac (linear accelerator)
Single-pass accelerator using a chain of RF cavities. Drift-tube (Alvarez) for low-β proton injection, elliptical SRF for relativistic e⁻…
Magnetic lattice (FODO cell)
Periodic sequence of focusing (F) / drift (O) / defocusing (D) / drift magnets. Phase advance per cell μ determines tune and stability;…
Synchrotron radiation (beam output)
Relativistic-electron radiation emitted tangent to the orbit with opening angle 1/γ and critical energy ℏω_c = (3/2)(ℏc/ρ)γ³. Intense,…
Beam emittance
Phase-space area occupied by a bunch: ε_x = √⟨x²⟩⟨x'²⟩–⟨xx'⟩². Liouville-preserved under Hamiltonian dynamics, reduced by stochastic…
Free-electron laser (FEL)
Relativistic electrons wiggled through a periodic magnetic undulator radiate coherently when the SASE (self-amplified spontaneous emission)…
Plasma wakefield acceleration
Drive bunch (laser or electron) excites a longitudinal plasma wave with GV/m-scale fields — ~1000× higher than RF cavities — accelerating a…
Beam-beam interaction
Colliding bunches exert nonlinear EM force on each other, perturbing tunes and emittances; sets the fundamental luminosity limit of…
Courant–Snyder invariant and one-turn map (accelerator-physics)
Accelerator-physics application of L0 linear-ODE and Lyapunov-stability theory. Transverse betatron motion satisfies Hill's equation x″(s)…
Betatron oscillation Floquet spectrum (accelerator-physics)
Accelerator-physics application of L0 ordinary differential equations and Fourier theory. Periodic Hill equation x″(s) + K(s)x(s) = 0 with…