Abstract
In plasma physics the magnetic fields are usually sufficiently large that the gyro-radius of particles is small compared to any characteristic dimension so that the adiabatic or drift approximation is valid. This is illustrated in Fig. 1 where the particles follow the helical field lines except for slow drifts of the guiding center. The small oscillations shown are the cyclotron motion which is averaged out, i.e., it does not appear in the approximate equations of motion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barak, G., and Rostoker, N., 1983, Orbital Stability of the High Current Betatron, Phys. Fluids, 26:856.
Blaugrund, A. E., Fisher, A., Prohaska, R., and Rostoker, N., 1985, J. Appl. Phys., 57:2474.
Cavenago, M., and Rostoker, N., 1986, Modified Elongated Betatron Accelerator, “Proc. 6th Int. Conf. on High Power Particle Beams”, June 9–12, 1986, Kobe, Japan.
Clark, W., Korn, P., Mondelli, A., and Rostoker, N., 1976, Experiments on Electron Injection into a Toroidal Magnetic Field, Phys. Rev. Lett., 37:592.
Daugherty, J. D., Eninger, J., and Janes, G. S., 1971, “AVCO Everett Research Report 375” (unpublished).
Davidson, R., and Uhm, H., 1982, Stability Properties of an Intense Relativistic Non-neutral Electron Ring in a Modified Betatron Accelerator, Phys. Fluids, 25:2089.
Fisher, A., Rostoker, N., Pearlman, J., and Whitham, K., 1985, Laser Extraction of an Electron Beam from MEBA, “Particle Accelerator Conference, Vancouver, B.C.”, May 13–15.
Godfrey, B. B., and Hughes, T. P., 1985, Long Wavelength Negative Mass Instabilities in High Current Betatrons, Phys. Fluids, 28:669.
Golden, J., Mako, F., Floyd, L., McDonald, K., Smith, T., Dialetis, D., Marsh, S. J., and Kapetanakos, C. A., 1986, Progress in the Development of the NRL Modified Betatron Accelerator, “Proc 6th Int. Conf. on High Power Particle Beams”, June 9–12, 1986, Kobe, Japan.
Hui, B., and Lau, Y. Y., 1984, Injection and Extraction of a Relativistic Electron Beam in a Modified Betatron, Phys. Rev. Lett., 53:2024.
Ishizuka, H., Lindley, G., Mandelbaum, B., Fisher, A., and Rostoker, N., 1984, Formation of a High Current Electron Beam in Modified Betatron Fields, Phys. Rev. Lett., 53:266.
Ishizuka, H., Saul, J., Fisher, A., and Rostoker, N., 1986, Beam Acceleration in the UCI Stellarator, “Proc. 6th Int. Conf. on High Power Particle Beams”, June 9–12, 1986, Kobe, Japan.
Kerst, D. W., Adams, G. D., Koch, H. W., and Robinson, C. S., 1949/50, An 80 Mev Model of a 300 Mev Betatron and a 300 Mev Betatron. Phys. Rev. Lett., 75:330;
Kerst, D. W., Adams, G. D., Koch, H. W., and Robinson, C. S., 1949/50, An 80 Mev Model of a 300 Mev Betatron and a 300 Mev Betatron. Phys. Rev. Lett., 78:297.
Kerst, D. W., Adams, G. D., Koch, H. W., and Robinson, C. S., 1949/50, An 80 Mev Model of a 300 Mev Betatron and a 300 Mev Betatron. Rev. Sci. Inst., 21:462.
Kapetanakos, C. A., Sprangle, D., Chernin, D. P., Marsh, S. J., and Haber, I., 1983, Equilibrium of a High Current Electron Ring in a Modified Betatron Accelerator, Phys. Fluids, 26:1634.
Landau, R., 1968, Negative Mass Instability with Bft Field, Phys. Fluids, 11:205.
Landau, R., and Neil, V., 1966, Negative Mass Instability, Phys. Fluids, 9:2412.
Mandelbaum, B., 1985, A Study of a Modified Betatron with Stellarator Windings, Ph.D. thesis, University of California, Irvine.
Manheimer, W., 1985, The Plasma Assisted Modified Betatron, Particle Accel.
Martin, W. E., Caporaso, C. J. Fawley, W. M., Prosnitz, D., and Cole, A. G., 1985, Electron Beam Guiding and Phase Mix Damping by a Laser-Ionized Channel, Phys. Rev. Lett., 54:685.
Roberson, C. W., Mondelli, A., and Chernin, D., 1983, High-current Betatron with Stellarator Fields, Phys. Rev. Lett., 50:507.
Roberson, C. W., Mondelli, A., and Chernin, D., 1985, The Stellatron Accelerator, Particle Accel., 17:29.
Roberts, G. A., and Rostoker, N., 1985, Adiabatic Beam Dynamics in a Modified Betatron, Phys. Fluids, 28:1968.
Roberts, G., and Rostoker, N., 1986, Effect of Quasi-Confined Particles and 1 = 2 Stellarator Fields on the Negative Mass Instability in a Modified Betatron; Phys. Fluids, 29:333.
Robertson, S., Ishizuka, H., Peter, W., and Rostoker, N., 1981, Propagation of an Intense Ion Beam Transverse to a Magnetic Field, Phys. Rev. Lett., 47:508.
Sprangle, D., and Chernin, D., 1984, Beam Current Limitation Due to Instabilities in Modified and Conventional Betatrons, Particle Accel., 15:2089.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Plenum Press, New York
About this chapter
Cite this chapter
Rostoker, N. (1988). High-Brightness Circular Accelerators. In: Hyder, A.K., Rose, M.F., Guenther, A.H. (eds) High-Brightness Accelerators. NATO ASI Series, vol 178. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5508-3_5
Download citation
DOI: https://doi.org/10.1007/978-1-4684-5508-3_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-5510-6
Online ISBN: 978-1-4684-5508-3
eBook Packages: Springer Book Archive