Accelerator physics by S. Y. Lee

By S. Y. Lee

Study and improvement of excessive strength accelerators begun in 1911.
(1) improvement of excessive gradient dc and rf accelerators,
(2) success of excessive box magnets with very good box quality,
(3) discovery of transverse and longitudinal beam focusing principles,
(4) invention of excessive strength rf sources,
(5) development of ultra-high vacuum technology,
(6) attainment of excessive brightness (polarized/unpolarized) electron/ionsources,
(7) development of beam dynamics and beam manipulation schemes, equivalent to beam injection, accumulation, gradual and speedy extraction, beam damping and beam cooling, instability suggestions, laser-beam interplay and harvesting instability for prime brilliance coherent photon source.

The affects of the accelerator improvement are evidenced by means of the various ground-breaking discoveries in particle and nuclear physics, atomic and molecular physics, condensed topic physics, biology, biomedical physics, nuclear drugs, scientific treatment, and business processing. This publication is meant for use as a graduate or senior undergraduate textbook in accelerator physics and technological know-how. it may be used as preparatory path fabric in graduate accelerator physics thesis examine. The textual content covers old accelerator improvement, transverse betatron movement, synchrotron movement, an creation to linear accelerators, and synchrotron radiation phenomena in low emittance electron garage earrings, advent to big issues corresponding to the unfastened electron laser and the beam-beam interplay. consciousness is paid to derivation of the action-angle variables of the section area, as the transformation is necessary for realizing complex themes reminiscent of the collective instability and nonlinear beam dynamics. every one part is by way of workouts, that are designed to enhance thoughts and to unravel reasonable accelerator layout difficulties.

Readership: Accelerator, high-energy, nuclear, plasma and utilized physicists.

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I Hamiltonian in Frenet-Serret Coordinate System Let fo(s) be the reference orbit (see Fig. 1), where s is the arc length measured along the closed orbit from a reference initial point. 5) i(s) = d*&. 6) , where p(s) defines the radius of curvature. The unit vector orthogonal to the tangential plane is given by z(s) = x{s) x s{s) . 8) P(s) where the prime denotes differentiation with respect to s, and T(S) is the torsion of the curve. For simplicity, we discuss only plane geometry, where r(s) = 0.

1) at where p = ymv is the relativistic kinetic momentum, v = df/dt is the velocity, m is the mass, e is the charge, and 7 = l / \ / l — v2/c2 is the relativistic Lorentz factor. The energy and momentum of the particle can be expressed as E = ymc2 = mc2dt/dT and p = rwyv' = mdf/dr, where r is the proper time with dt/dr = 7. Thus Eq. 1) can be derived from Lagrange's equation d_ (dL\ _d£_() where the Lagrangian is L = —mc2Jl — v2/c2 — e$+ev-A. The electric and magnetic fields are related to the vector potential A and the scalar potential $ by E = - V $ - dA/dt, B = V x A.

The source, RPQ, DTL, debuncher, chopper, the CIS synchrotron with 4 dipoles, and a transfer line are shown to illustrate the basic structure of an accelerator system. 36 m. Acceleration of the bunch of charged particles to high energies requires synchronization and phase focusing. The synchronization is achieved by matching the rf frequency with particle velocity, and the phase focusing is achieved by choosing a proper phase angle between the rf wave and the beam bunch. 2 Accelerator Magnets Accelerator magnets requires stringent field uniformity condition in order to minimize un-controllable beam orbit distortion and beam loss.

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