# RF Linear Accelerators, Second Edition by Thomas P. Wangler(auth.)

By Thomas P. Wangler(auth.)

Borne out of twentieth-century technological know-how and expertise, the sphere of RF (radio frequency) linear accelerators has made major contributions to simple study, strength, drugs, and nationwide protection. As we boost into the twenty-first century, the linac box has been present process fast improvement because the call for for its many purposes, emphasizing high-energy, high-intensity, and high-brightness output beams, keeps to develop. RF Linear Accelerators is a textbook that's according to 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 facets for either electron and ion linacs. This moment version has been thoroughly revised and improved to incorporate examples of recent RF linacs, specific linacs and targeted innovations in addition to superconducting linacs. moreover, challenge units on the finish of every bankruptcy complement the fabric lined. The ebook serves as vital reference for execs attracted to beam physics and accelerator technology.Content:

Chapter 1 creation (pages 1–31):

Chapter 2 RF Acceleration in Linacs (pages 32–52):

Chapter three Periodic Accelerating buildings (pages 53–82):

Chapter four commonplace Linac constructions (pages 83–134):

Chapter five Microwave themes for Linacs (pages 135–174):

Chapter 6 Longitudinal Particle Dynamics (pages 175–200):

Chapter 7 Transverse Particle Dynamics (pages 201–231):

Chapter eight Radiofrequency Quadrupole Linac (pages 232–281):

Chapter nine Multiparticle Dynamics with house cost (pages 282–340):

Chapter 10 Beam Loading (pages 341–360):

Chapter eleven Wakefields (pages 361–404):

Chapter 12 distinctive constructions and methods (pages 405–432):

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**Example text**

1940) J. App. Phys. , (1941) J. App. Phys. 12, 129. Potentials that satisfy Eq. (14) are said to belong to the Coulomb gauge. Note that for this case, because φ = 0, Eq. (11) is also satisﬁed and the potentials belong simultaneously to the Lorentz and Coulomb gauges. , 1958 Topics in Electromagnetic Theory, John Wiley & Sons, New York, pp. , 1964 Electromagnetic Slow Wave Systems, John Wiley & Sons, New York, pp. 17–19. , 1948 Microwave Transmission Design Data, Dover, New York, pp. 227–230.

We label the different longitudinal modes with the index p, and adopt the conventional nomenclature TM01p , p = 1, 2, 3, . . The dispersion relation is the same as for a uniform waveguide, except that the longitudinal wave number is restricted to those discrete values required to satisfy the boundary conditions at the two ends. 405/Rc and kz = 2π/λg = πp/ . Then, the dispersion relation becomes a discrete spectrum of points that are sprinkled on a hyperbolic curve, as shown in Fig. 18. 12, is the lowest mode with p = 0.

To obtain the solution, ﬁrst imagine a current wave on the inner conductor traveling in the +z direction, I0 e j(ωt−kz) . From the integral form of Ampere’s law, the current produces an azimuthal magnetic ﬁeld given by Bθ = I0 e j(ωt−kz) µ0 /2π r. Given the magnetic ﬁeld, the radial electric ﬁeld can be obtained from the differential form of Faraday’s law as Er = I0 e j(ωt−kz) µ0 c/2πr. Likewise, we ﬁnd that a wave traveling in the −z direction has components I0 e j(ωt+kz) , Bθ = I0 e j(ωt+kz) µ0 /2π r, and Er = −I0 e j(ωt+kz) µ0 c/2πr.