Accelerator Physics by S. Y. Lee

By S. Y. Lee

Learn and improvement of excessive strength accelerators all started in 1911.
(1) improvement of excessive gradient dc and rf accelerators,
(2) success of excessive box magnets with first-class 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, reminiscent of beam injection, accumulation, sluggish and quickly 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 through the numerous ground-breaking discoveries in particle and nuclear physics, atomic and molecular physics, condensed subject physics, biology, biomedical physics, nuclear medication, scientific remedy, and business processing. This booklet is meant for use as a graduate or senior undergraduate textbook in accelerator physics and technology. it may be used as preparatory direction fabric in graduate accelerator physics thesis examine. The textual content covers ancient accelerator improvement, transverse betatron movement, synchrotron movement, an creation to linear accelerators, and synchrotron radiation phenomena in low emittance electron garage earrings, creation to big themes akin to the loose electron laser and the beam-beam interplay. cognizance is paid to derivation of the action-angle variables of the part area, as the transformation is critical for figuring out complicated issues corresponding to the collective instability and nonlinear beam dynamics. each one part is through routines, that are designed to enhance suggestions and to unravel real looking accelerator layout difficulties.

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

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Extra resources for Accelerator Physics

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Such a scheme or its variation was invented by V. Veksler in 1945. g. the race track microtron (RTM), the bicyclotron, and the hexatron. 13) where A E is the energy gain per passage through the rf cavity, B is the bending dipole field, X,f is the rf wavefength, and n is an integer. This resonance condition simply states that the increase in path length is an integral multiple of the rf wavelength. Some operational microtrons are the three-stage MAMI microtron at Maim, Germ a n ~ , *and ~ the 175-MeV microtron at Moscow State University.

The transformation reduces the degrees of freedom from three to two. But the price to pay is that the new Hamiltonian depends on the new variable s. Because of the repetitive nature of the accelerator, the dependence of the new Hamiltonian on s is periodic. The periodic nature of the new Hamiltonian can be fruitfully exploited in the analysis of linear and nonlinear betatron motion. The new Hamiltonian fi = - p , is then given by - H=- ( ;) [ i:’)’ I+- (H - m2c2- ( p , - e A d 2 - ( p z - eA,)2 I.

1: Curvilinear coordinate system for particle motion in synchrotrons. Fo(o(9) is the reference orbit, 2,s and f form the basis of the curvilinear coordinate system. Any point in the phase space can be expressed by r'= r'o + x? + z i . Here x and z are betatron coordinates. and the unit vector perpendicular to the tangent vector and on the tangential plane is given by dt(s) 2 ( s ) = -p(s), ds where p(s) defines the radius of curvature. The unit vector orthogonal to the tangential plane is given by i ( s ) = q s ) x S(s) .

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