Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Print: 0040-2508
ISSN Online: 1943-6009

Volume 79, 2020 Volume 78, 2019 Volume 77, 2018 Volume 76, 2017 Volume 75, 2016 Volume 74, 2015 Volume 73, 2014 Volume 72, 2013 Volume 71, 2012 Volume 70, 2011 Volume 69, 2010 Volume 68, 2009 Volume 67, 2008 Volume 66, 2007 Volume 65, 2006 Volume 64, 2005 Volume 63, 2005 Volume 62, 2004 Volume 61, 2004 Volume 60, 2003 Volume 59, 2003 Volume 58, 2002 Volume 57, 2002 Volume 56, 2001 Volume 55, 2001 Volume 54, 2000 Volume 53, 1999 Volume 52, 1998 Volume 51, 1997

Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v67.i13.50
pages 1177-1188

Calculation of Quasistatic Eigen-Field of a Charge, which Moves Arbitrarily in Cylindrical Drift Chamber

G. M. Gorbik
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura Str., Kharkov 61085, Ukraine
K. V. Ilyenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine
T. Yu. Yatsenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkiv 61085, Ukraine


In the Darwin approximation using the Green functions method, we found the solutions for the quasistatic (quasistationary) vector potential excited in cylindrical drift chamber with perfectly conducting walls by arbitrary charge and current densities (e.g., by a charged beam), which satisfy the continuity equation. The found Green functions are expressed as decomposition into the eigen functions of the Laplace operator within the cylindrical coordinate system with the Dirichlet and Neumann boundary conditions. Based on the obtained solutions for potentials, we find expressions for the induced magnetic field and relativistic correction to the electric field. Taking into account relativistic corrections to the order of field of radiation, we also found contribution from charges and currents being beam-induced on the drift chamber walls into the Lorentz force acting on the isolated charged particles of a beam. The method is proposed which enables the problem for vector potential to be reduced to a system of the scalar Poisson equation in cylindrical coordinate system.

Articles with similar content:

Radiation of Electrical Vibrator in Anisotropic Plasma
Telecommunications and Radio Engineering, Vol.54, 2000, issue 2
Nikolai Antonovich Khizhnyak, Evgenii Alekseevich Yatsenko
Induced-charge electrokinetic phenomena in tapered conducting nanochannels for a flexible control of ionic transport
Second Thermal and Fluids Engineering Conference, Vol.42, 2017, issue
Chun Yang, Cunlu Zhao
Renormalized Resonant Conditions for a Hybrid Weakly-Relativistic Waveguide Free-Electron Laser
Telecommunications and Radio Engineering, Vol.65, 2006, issue 11-15
V. A. Goryashko, K. V. Ilyenko, A. N. Opanasenko
Green's Functions for Cylindrical Structures with a Longitudinally-Inhomogeneous Filling
Telecommunications and Radio Engineering, Vol.55, 2001, issue 3
Yu. M. Penkin
Mathematical Model of Diffraction by a Superconducting Finite-Element Grating Placed Over a Flat Superconducting Screen
Telecommunications and Radio Engineering, Vol.56, 2001, issue 2
Victor Filippovich Kravchenko, Yurii Vladimirovich Gandel, Gennadiy Leonodovich Sidelnikov