Chinese Physics C > 2004, Vol. 28 > Issue(7): 758-761

Analysis of Third Order Quadrupole Aberrations

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China

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Abstract：
The formulae of 3 ^rdorder quadrupole aberrations are derived with Lie-algebraic map. It is the field extension along the axis that dominates the aberrations. For fixed focal length, the aberrations are small if the quadrupole length is long enough or its aperture is large enough. When the length is comparable to the aperture, the quadrupole with soft edge carries relatively small aberrations.

References

[1]

. Courant E D, Snyder H S. Annals of Physi cs, 1958, 3: 1-482. Ruth R. Lecture Notes in Physics, 1985, 247: 37-633. Dragt A, Finn J. J. Math. Phys. , 1976, 17: 2215-22274. Dragt A. American Inst itut e of Physics Proceedings, 1982, 87: 147-3135. Baartman R. Intrinsic Third Order Aberrat ions in Electrostatic and Mag..netic Quadrupoles. PAC97, 1997, 1415-1417

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[20]	Sun Hong-zhou. ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS. Chinese Physics C, 1980, 4(4): 478-492.

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SONG Ming-Tao, YANG Xiao-Dong, YUAN You-Jin, YUAN Ping and ZHANG Wen-Zhi. Analysis of Third Order Quadrupole Aberrations[J]. Chinese Physics C, 2004, 28(7): 758-761.

SONG Ming-Tao, YANG Xiao-Dong, YUAN You-Jin, YUAN Ping and ZHANG Wen-Zhi. Analysis of Third Order Quadrupole Aberrations[J]. Chinese Physics C, 2004, 28(7): 758-761. shu

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Received: 2003-10-22
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Analysis of Third Order Quadrupole Aberrations

Corresponding author:SONG Ming-Tao,

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China

Received Date:2003-10-22
Accepted Date:1900-01-01
Available Online:2004-07-05

Abstract:The formulae of 3^rdorder quadrupole aberrations are derived with Lie-algebraic map. It is the field extension along the axis that dominates the aberrations. For fixed focal length, the aberrations are small if the quadrupole length is long enough or its aperture is large enough. When the length is comparable to the aperture, the quadrupole with soft edge carries relatively small aberrations.