# RF Linear Accelerators (Physics Textbook) by Wangler

By Wangler

Borne out of twentieth-century technology and know-how, the sphere of RF (radio frequency) linear accelerators has made major contributions to uncomplicated learn, power, drugs, and nationwide protection. As we increase into the twenty-first century, the linac box has been present process quick improvement because the call for for its many functions, emphasizing high-energy, high-intensity, and high-brightness output beams, maintains to develop. RF Linear Accelerators is a textbook that's in line with a US Particle Accelerator college graduate-level direction that fills the necessity for a unmarried introductory resource on linear accelerators. The textual content presents the medical ideas and updated technological elements for either electron and ion linacs. This moment variation has been thoroughly revised and elevated to incorporate examples of contemporary RF linacs, targeted linacs and designated strategies in addition to superconducting linacs. moreover, challenge units on the finish of every bankruptcy complement the fabric lined. The publication serves as a must have reference for pros drawn to beam physics and accelerator know-how.

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**Example text**

A) Ignoring any effects of the coupling loop and probe, calculate the length of the cavity. 5 times that of copper. ) Calculate the power dissipated on the center conductor, end walls, and outer wall. (c) Calculate the cavity stored energy and the unloaded Q. (d) What is the peak power density in watts per square centimeter on the inner and outer conductors? 11. A 25-MHz quarter-wave coaxial-cavity resonator with characteristic impedance 50 is designed as a buncher for heavy-ion beams. (a) If the impedance at the open end of the cavity (where the electric ﬁeld is maximum) could really be made inﬁnite, what would be the length of the inner conductor?

15) The result for T versus g/βλ is plotted in Fig. 2. To achieve maximum energy gain for a given V0 , it is clear that we want T = 1, which corresponds to g = 0. However, other considerations must be taken into account to determine the optimum gap geometry, such as the risk of RF electric breakdown, and RF power efﬁciency. 3 Longitudinal Electric Field as a Fourier Integral A description of the ﬁelds in an accelerating gap in terms of a Fourier integral allows us to deduce some useful relationships for the transit-time factor.

The subscript n (n = 1, 2, 3, . 3 Zeros of Jm (x) or xmn . 4 Zeros of Jm or xmn . 970 the radial direction in the range 0 < r ≤ Rc , excluding r = 0. The subscript p (p = 0, 1, 2, . ) is the number of half period variations in z of the ﬁelds. 1. 2. 3. 4. 5. 6. 7. What is the kinetic energy in units of both joules and electron volts for an electron accelerated through a dc potential of 1 MV? Find an expression for the fractional error when the nonrelativistic approximation for kinetic energy as a function of β is used.