By S. Y. Lee

Study and improvement of excessive strength accelerators all started in 1911.

(1) improvement of excessive gradient dc and rf accelerators,

(2) fulfillment of excessive box magnets with very good box quality,

(3) discovery of transverse and longitudinal beam focusing principles,

(4) invention of excessive energy 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, resembling beam injection, accumulation, sluggish and quickly extraction, beam damping and beam cooling, instability suggestions, laser-beam interplay and harvesting instability for top brilliance coherent photon source.

The affects of the accelerator improvement are evidenced by way of the various ground-breaking discoveries in particle and nuclear physics, atomic and molecular physics, condensed topic physics, biology, biomedical physics, nuclear medication, scientific remedy, and commercial processing. This ebook is meant for use as a graduate or senior undergraduate textbook in accelerator physics and technology. it may be used as preparatory path fabric in graduate accelerator physics thesis study. The textual content covers ancient accelerator improvement, transverse betatron movement, synchrotron movement, an advent to linear accelerators, and synchrotron radiation phenomena in low emittance electron garage earrings, advent to big themes akin to the loose electron laser and the beam-beam interplay. consciousness is paid to derivation of the action-angle variables of the part house, as the transformation is critical for figuring out complex issues similar to the collective instability and nonlinear beam dynamics. every one part is by way of routines, that are designed to augment ideas and to resolve sensible accelerator layout difficulties.

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

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Examine and improvement of excessive power accelerators started in 1911. (1) improvement of excessive gradient dc and rf accelerators, (2) success of excessive box magnets with first-class box caliber, (3) discovery of transverse and longitudinal beam focusing rules, (4) invention of excessive strength rf assets, (5) development of ultra-high vacuum know-how, (6) attainment of excessive brightness (polarized/unpolarized) electron/ionsources, (7) development of beam dynamics and beam manipulation schemes, resembling beam injection, accumulation, gradual and speedy extraction, beam damping and beam cooling, instability suggestions, laser-beam interplay and harvesting instability for top brilliance coherent photon resource.

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26) with - 1 n- an=--l 1 P B , Bon! 26) ,=+=o where bn,an are called 2(n + 1)th rnultipole coefficients with dipole 60, dipole roll ao, quadrupole bl, skew quadrupole a l , sextupole 6 2 , skew sextupole u2' e t ~ The . 10). 27) is called the Beth repre- Equation of Betatron Motion Disregarding the effect of synchrotron motion (see Sec. IX), Hamilton's equations of betatron motion are given by = _-aH xI = - 3H apz' = aH 3H z'=--, ax I =--aZ' aPZ 3The rnultipole expansion of the magnetic field is usually rescaled to obtain m Bz + j B , = Bo xfjz C(bn+jun)(-Y, n=O Tb where rb is a reference radius.

A l p is the orbiting angle and p is the bending radius. 40) where -! is the length of the dipole. This means that the effect of a dipole with a small bending angle is equivalent to that of a drift space. g. 41) Wszlso) = M ( S 2 1 S 1 ) M ( S 1 I S O ) . Using these matrices, particle motion can be tracked through accelerator elements. 42) where C’ and S‘ are the derivatives of C and S with respect to s, and yo and yt, are the initial phase-space coordinates at so. The solutions C(s, SO) and S(s, 80) are respectively called the cosine-like and sine-like solutions with boundary conditions C(s0, so) = 1, S(s0, so) = 0 , C’(s0, so) = 0 , S ’ ( S 0 , so) = 1.

26) with - 1 n- an=--l 1 P B , Bon! 26) ,=+=o where bn,an are called 2(n + 1)th rnultipole coefficients with dipole 60, dipole roll ao, quadrupole bl, skew quadrupole a l , sextupole 6 2 , skew sextupole u2' e t ~ The . 10). 27) is called the Beth repre- Equation of Betatron Motion Disregarding the effect of synchrotron motion (see Sec. IX), Hamilton's equations of betatron motion are given by = _-aH xI = - 3H apz' = aH 3H z'=--, ax I =--aZ' aPZ 3The rnultipole expansion of the magnetic field is usually rescaled to obtain m Bz + j B , = Bo xfjz C(bn+jun)(-Y, n=O Tb where rb is a reference radius.