LONGITUDINAL COUPLING IMPEDANCE FOR PARTICLE BEAMS OF PARABOLIC TRANSVERSE CHARGE ISTRIBUTION MOVING IN A RESISTIVE CULINDRICAL BEAM-PIPE OF FINITE WALL THICKENS | ||||
| Al-Azhar Bulletin of Science | ||||
| Article 2, Volume 27, Issue 1-B, June 2016, Page 11-18 PDF (340.23 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/absb.2016.60511 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| AHMED AL-KHATEEB* 1; NOUF K. AL-SALEEM2 | ||||
| 1Yarmouk University, College of Science, Department of Physics, Kingdom of Jordan | ||||
| 2Department of physics, College of Education in Jubail, University of Dammam, Kingdom of Saudi Arabia | ||||
| Abstract | ||||
| The longitudinal coupling impedance for particle beams of parabolic transverse charge distribution moving in a resistive cylindrical beam-pipe of finite wall thicken studied theoretically. The particle beam is moving at constant speed down a resistive cylindrical pipe of fintie wall thickness. The wave equations for the lectromagnetic fields induced by the beam motion inside the cylindrical pipe have been derived and solved. The space charge and the wall impedances have been obtained analyticaaly and then analyzed numberically for diferent beam energies, diferent wall conductivities and diferent wave mode frequencies. The real part for the wall impedance is found to be a positive resistance while the imaginary part is a positive reacetance (inductive). At low beam energies we observed no differences between the impedances of quadratic and uniform beams. At high beam energies and for all wave mode frequencies, differences between the two impedance are observed frow all thickness bellow the skin penetration depth s. The impedance converges for large wall thicknetowared a small value of the order of the sufface impedance of a thick conducting wall. | ||||
| Keywords | ||||
| Power transmission; Waveguides | ||||
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