Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours

Mao Naifeng; Li Zenghai

Chinese Physics C> 1989, Vol. 13> Issue(S2) : 149-156

Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours

Mao Naifeng ,
Li Zenghai

Institute of Atomic Energy, Beijing

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Abstract：
In order to study the transport of beams with arbitrary phase space contours, the spline function representation of the phase space contours is proposed in this paper. Having fitted the phase space contours with cubic spline functions, the phase space transformation is reduced to the spline function transformationj and the beam envelopes can be expressed with spline functions. The corresponding computer program is written and some typical examples are presented to illustrate the usefulness of this method.

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Mao Naifeng and Li Zenghai. Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours[J]. Chinese Physics C, 1989, 13(S2): 149-156.

Mao Naifeng and Li Zenghai. Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours[J]. Chinese Physics C, 1989, 13(S2): 149-156. shu

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Received: 1988-01-12

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沈阳化工大学材料科学与工程学院沈阳 110142

Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours

Mao Naifeng
Li Zenghai

Institute of Atomic Energy, Beijing

Received Date: 1988-01-12

Abstract: In order to study the transport of beams with arbitrary phase space contours, the spline function representation of the phase space contours is proposed in this paper. Having fitted the phase space contours with cubic spline functions, the phase space transformation is reduced to the spline function transformationj and the beam envelopes can be expressed with spline functions. The corresponding computer program is written and some typical examples are presented to illustrate the usefulness of this method.