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Field Distribution in a Coaxial Electrostatic System with Sinusoidally Rippled Wall
Zhang Shichang * #
Sothwest Jiaotong University
*Correspondence author
#Submitted by
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Funding: 教育部博士点基金,国家自然科学基金（No.200806130012,60871023）
Opened online:29 June 2009
Accepted by: none
Citation: Zhang Shichang .Field Distribution in a Coaxial Electrostatic System with Sinusoidally Rippled Wall[OL]. [29 June 2009] http://en.paper.edu.cn/en_releasepaper/content/33494
 
 
A coaxial electrostatic system is studied, where the inside surface of the outer conductor is corrugated with sinusoidal ripples and connected to a negative voltage while outside surface of the inner rod is smooth and grounded. The electrostatic potential is governed by a 2-dimensional Laplace equation in a cylindrical coordinates system with sinusoidal-ripples boundary conditions. By employing separation of variables, analytical solution of the field is derived in detail. Excellent agreement between the analytical formula and the CSTsimulation is confirmed. As an important application, it can be expected to play a role of the electrostatic wiggler in a free-electron laser.
Keywords:Coaxial electrostatic system;Laplace equation;Sinusoidally rippled boundary;Analytical solution
 
 
 

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