Abstract
A solution is obtained for the equations of motion of a particle in the field of a traveling electromagnetic wave propagating between two pairs of metal surfaces of hyperbolic shape. The motion of the particle on excitation of the waveguide by monochromatic and pulsed voltage sources is considered. The possibility of applying a quadrupole waveguide to beam focusing and the separation of particles according to their specific charge and longitudinal velocity is investigated.
Similar content being viewed by others
References
D. M. Volkov, Zh. Éksp. Teor. Fiz. 7, 1286 (1937).
R. Redmond, J. Math. Phys. 6, 1163 (1965).
A. S. Dement’ev and Yu. G. Pavlenko, Zh. Éksp. Teor. Fiz. 62, 161 (1972) [Sov. Phys. JETP 35, 86 (1972)].
L. D. Gol’dshtein and N. V. Zernov, Electromagnetic Fields and Waves [in Russian], Sov. Radio, Moscow (1956), p. 517.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon, New York (1975).
Yu. G. Pavlenko, [in Russian], Izd. Mosk. Univ., Moscow (1991).
N. W. McLachlan, Theory and Application of Mathieu Functions, Clarendon Press, Oxford (1947) [Russ. transl., IL, Moscow (1953)].
M. J. O. Strutt, Lamesche-, Mathieusche-und Verwandte Funktionen in Physik und Technik, Springer, Berlin (1932) [Russ. transl., GNTI Ukrainy, Kharkov-Kiev (1935)].
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed., Cambridge University Press, Cambridge (1927) [Russ. transl., Fizmatgiz, Moscow (1963)].
M. A. Miller, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 1, 110 (1958).
A. V. Gaponov and M. A. Miller, Zh. Éksp. Teor. Fiz. 34, 242 (1958) [Sov. Phys. JETP 7, 168 (1958)].
L. D. Landau and E. M. Lifshitz, Mechanics, 1st ed., Pergamon Press, Oxford-New York (1960).
S. Solimeno, B. Crosignani, and P. DiPorto, Guiding, Diffraction, and Confinement of Optical Radiation, Academic Press, Orlando (1986) [Russ. transl., Mir, Moscow (1989)].
V. M. Galitskii, B. M. Karnakov, and V. I. Kogan, Problems in Quantum Mechanics [in Russian], Nauka, Moscow (1973), p. 13.
É. P. Sheretov and V. I. Terent’ev, Zh. Tekh. Fiz. 42, 953 (1972) [Sov. Phys. Tech. Phys. 17, 755 (1972)].
Author information
Authors and Affiliations
Additional information
Zh. Tekh. Fiz. 67, 98–102 (July 1997)
Rights and permissions
About this article
Cite this article
Pavlenko, Y.G., Naumov, N.D. & Toropova, A.I. Relativistic particles in a quadrupole waveguide. Tech. Phys. 42, 809–813 (1997). https://doi.org/10.1134/1.1258723
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1258723