Al-Azhar University, Faculty of Science (Boys)Al-Azhar Bulletin of Science1110-253527Issue 1-B20160629POWER TRANSMISSION OF A PARTICLE BEAM MOVING IN A RESISTIVE CYLINDRICAL TUBE186051310.21608/absb.2016.60513ENAHMEDAL-KHATEEBYarmouk University, College of Science, Department of Physics, Kingdom of JordanNOUF K.AL-SALEEMDepartment of physics, College of Education in Jubail, University of Dammam, Kingdom of Saudi ArabiaJournal Article20160110The radial power transmission resulting from a particle beam of parabolic (quadratic) transverse charge distribution<br />have been studied theoretically. The particle beam is moving at constant speed down a resistive cylindrical pipe of finite<br />wall thickness. The wave equations for the electromagnetic fields induced by the beam motion inside the cylindrical pipe<br />have been derived and solved. The coefficient of radial power transmission through the beam-pipe wall have been obtained analytically and then analyzed numerically for different beam energies, different wall conductivities and different wave mode frequencies. The radial power transmission is found to increase with increasing beam energy, to decrease with<br />increasing wall conductivity and it is higher for the wave modes of lower frequencies.https://absb.journals.ekb.eg/article_60513_9af8c8a1cc19ee77069a73a0271d1452.pdfAl-Azhar University, Faculty of Science (Boys)Al-Azhar Bulletin of Science1110-253527Issue 1-B20160601LONGITUDINAL COUPLING IMPEDANCE FOR PARTICLE BEAMS OF PARABOLIC TRANSVERSE CHARGE ISTRIBUTION MOVING IN A RESISTIVE CULINDRICAL BEAM-PIPE OF FINITE WALL THICKENS11186051110.21608/absb.2016.60511ENAHMEDAL-KHATEEBYarmouk University, College of Science, Department of Physics, Kingdom of JordanNOUF K.AL-SALEEMDepartment of physics, College of Education in Jubail, University of Dammam, Kingdom of Saudi ArabiaJournal Article20160202The longitudinal coupling impedance for particle beams of parabolic transverse charge distribution moving in a<br />resistive cylindrical beam-pipe of finite wall thicken studied theoretically. The particle beam is moving at constant speed<br />down a resistive cylindrical pipe of fintie wall thickness. The wave equations for the lectromagnetic fields induced by the<br />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.https://absb.journals.ekb.eg/article_60511_98c78bdc35fdd7ccfdfc1cfc9e6c457a.pdf