Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

YANG Yi-Ming; JIN Zhen-Xing; QIAN Bao-Liang

Chinese Physics C> 2008, Vol. 32> Issue(S1) : 229-230

Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

Abstract
HTML
Reference
Related

PDF

Abstract：
An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave. The explicit expression of particle velocity is obtained, and the trapping condition of the charged particle in the electrostatic wave is also derived exactly. The interaction between the charged particle and the electrostatic wave is discussed, which is a supplement to the existing textbook of plasma physics. The results are of interest to particle accelerators, microwave tubes, and basic plasma processes.

References

[1]

. Landau, Lifshitz E M. The Classical Theory of Fields [M].Pergamon Press, Oxpord, 1975. 1182. Jory H R, Trivelpicec A W. J. Appl. Phys., 1968, 39: 30533. Shesalin J V. IEEE Trans. Plasma Sci., 1988, PS-16: 3904. Acherya S, Saxena A C. IEEE Trans. Plasma Sci., 1993,PS-21: 2575. Roberts C S, Buchsbaum S J. Phys. Rev., 1964, A135: 3816. Villalon E, Burke W J. Phys. Fluids, 1987, 30: 369657. QIAN B L. Physics of Plasmas, 2000, 7: 537

[1]	LUO Shi-Yu , SHAO Ming-Zhu , HU Xi-Duo . Interaction of Charged Particles with Superlattice, and Identification of Particles with Ultra-high Energy. Chinese Physics C, 2007, 31(3): 320-323.
[2]	LUO Shi-Yu , SHAO Ming-Zhu . Posibilities of Channelling Radiation as γ-Laser. Chinese Physics C, 2005, 29(2): 205-209.
[3]	Xi Hongfei , Zhu Yongtai , Shen Wenqing , . Influence of Central Collective Flow on Charged Particle Correlation Functions. Chinese Physics C, 1997, 21(7): 627-632.
[4]	Yu Qingchang . Focusing of Charged Particle Beams by Isochronic Periodic Fields. Chinese Physics C, 1997, 21(11): 1046-1051.
[5]	Yu Qingchang . Contour Function Theory For Transport of Charged Particle Beams. Chinese Physics C, 1995, 19(5): 468-472.
[6]	Chen Tingyang . Application of maximum likelihood method in reconstruction of charged particle tracks. Chinese Physics C, 1994, 18(4): 302-309.
[7]	Jing Cailiu , Ding Linkai . A Dependence of Longitudinal Momenta of Secondary Particles on Multiplicity in Hadronic Interactions. Chinese Physics C, 1994, 18(10): 865-869.
[8]	Qin Keyu . Description of Charged Particle Multiplicity Distribution in High Energy Strong Interaction. Chinese Physics C, 1994, 18(4): 347-352.
[9]	YU Qing-Chang . Transport of Charged Particle Beam in Nonlinear Periodic Field. Chinese Physics C, 1993, 17(4): 305-309.
[10]	CHEN E-Sheng . Average Yields of Long-Lived Charged Particles in High Energy e⁺e^－ Annihilation. Chinese Physics C, 1993, 17(3): 252-261.
[11]	ZHANG Dong-Hai , LUO Shi-Bin . Investigation of Multiplicity of Alpha-particle Interactions with Emulsion at 12A GeV. Chinese Physics C, 1992, 16(4): 340-343.
[12]	YAO Nai-Guo , CHEN Ting-Yang . A Three Dimensional Method to Reconstruct the Charged Particle Tracks in the Forward Spectrometer. Chinese Physics C, 1991, 15(9): 769-775.
[13]	WANG Shao-Shun , ZHANG Jie , YE Yun-Xiu , XIAO Chen-Guo , CHENG Zheng-Dong , ZHANG Xue-Qian , LUO Qi . Measurement of Semi-Inclusive Charged Particle Pseudorapidity Destributions in pp Collisions at 400GeV/c. Chinese Physics C, 1991, 15(12): 1057-1062.
[14]	LIU Ji-Feng , WU Pei-Yun , SHEN Jian-Ping , LI Guang-Lie . The η-N Interaction Potential and the Potential Well Depth of η-meson in Nuclear Matter. Chinese Physics C, 1991, 15(3): 224-233.
[15]	CHEN Ting-Yang , YAO Nai-Guo , HE Mao . THE TRACK SIMULATIONS OF CHARGED PARTICLES IN THE REAL MAGNETIC FIELDS. Chinese Physics C, 1990, 14(8): 673-676.
[16]	ZHOU Da-Zhuang . PLASTIC SCINTILLATOR RESPONSE TO CHARGED PARTICLES. Chinese Physics C, 1986, 10(5): 519-526.
[17]	SHEN Qing-Biao , LI Zhu-Xia , SHI Xiang-Jun , TIAN Ye , ZHUO Yi-Zhong . off-shell SINGLE-PARTICLE POTENTIAL AND EFFECTIVE MASS CALCULATION WITH SKYRME INTERACTIONS IN NUCLEAR MATTER. Chinese Physics C, 1985, 9(2): 220-228.
[18]	YU Qing-Chang . ON RELATIONS AMONG OBJECTS, IMAGES AND BEAM WAISTS FOR CHARGED PARTICLE BEAMS. Chinese Physics C, 1983, 7(1): 51-56.
[19]	Yu Qing-chang . THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS. Chinese Physics C, 1980, 4(5): 579-587.
[20]	Qin Ke-yu . THE INTERACTION OF A HIGH ENERGETIC PROTON WITH A NUCLEUS—THE RELATION OF THE PRODUCED PARTICLES WITH THE NUCLEAR MASS NUMBER A. Chinese Physics C, 1980, 4(3): 344-348.

Access

Get Citation

YANG Yi-Ming, JIN Zhen-Xing and QIAN Bao-Liang. Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave[J]. Chinese Physics C, 2008, 32(S1): 229-230.

YANG Yi-Ming, JIN Zhen-Xing and QIAN Bao-Liang. Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave[J]. Chinese Physics C, 2008, 32(S1): 229-230. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2008-01-10
Revised: 1900-01-01

Article Metric

Article Views(2943)
PDF Downloads(552)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

Corresponding author: YANG Yi-Ming,

Received Date: 2008-01-10
Accepted Date: 1900-01-01
Available Online: 2008-01-04

Abstract: An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave. The explicit expression of particle velocity is obtained, and the trapping condition of the charged particle in the electrostatic wave is also derived exactly. The interaction between the charged particle and the electrostatic wave is discussed, which is a supplement to the existing textbook of plasma physics. The results are of interest to particle accelerators, microwave tubes, and basic plasma processes.