Courant-Snyder invariant density screening method for emittance analysis

SUN Ji-Lei; TANG Jing-Yu; JING Han-Tao

doi:10.1088/1674-1137/35/11/015

Chinese Physics C> 2011, Vol. 35> Issue(11) : 1059-1065 DOI: 10.1088/1674-1137/35/11/015

Courant-Snyder invariant density screening method for emittance analysis

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Abstract：
Emittance is an important characteristic of describing charged particle beams. In hadron accelerators, we often meet irregular beam distributions that are not appropriately described by a single rms emittance or 95% emittance or total emittance. In this paper，it is pointed out that in many cases a beam halo should be described with very different Courant-Snyder parameters from the ones used for the beam core. A new method — the Courant-Snyder invariant density screening method - is introduced for analyzing emittance data clearly and accurately. The method treats the emittance data from both measurements and numerical simulations. The method uses the statistical distribution of the beam around each particle in phase space to mark its local density parameter, and then uses the density distribution to calculate the beam parameters such as the Courant-Snyder parameters and emittance for different beam boundary definitions. The method has been used in the calculations for beams from different sources, and shows its advantages over other methods. An application code based on the method including the graphic interface has also been designed.

References

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Buon J. Beam Phase Space and Emittance, CERN Accelerator School, 4th general course, 91-04, 302 Frank J. Sacherer, RMS Envelope Equations with Space Charge, PAC1971, CERN, Geneva, Switzerland, 1105-11073 Takeda H. Parmila, LA-UR-98-4478, Los Alamos National Laboratory, 2005, 47-494 Crandall K R, Rusthoi D P. TRACE 3-D Documentation (Third Edition), LA-UR-97-886, Los Alamos National Laboratory, 1997. 3, 705 Galambos J D, Holmes J A, Olsen D K. ORBIT User Manual Version 1.10, SNS Building MS-8218, Oak Ridge National Laboratory, 1999, 15-166 TANG Jing-Yu. Nucl. Instrum. Methods A, 2008, 595: 561-5677 Stockli M P, Welton R F, Keller R. Self-consistent, Unbiased Exclusion Methods of Emittance Analysis, 20th IEEE Particle Accelerator Conference, Portland, OR, USA, 2003, 5278 Stockli M P. AIP Conf. Proc., 2006, 868: 25-629 Stockli M P et al. AIP Conf. Proc., 2002, 639: 135-15910 WEI Jie et al. Nuc. Inst. Meth. Phys. Res. A, 2009, 600: 10-1311 Private communication with MENG Cai12 Private communication with Peng Jun13 The Mathworks Inc., Matlab trial software

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SUN Ji-Lei, TANG Jing-Yu and JING Han-Tao. Courant-Snyder invariant density screening method for emittance analysis[J]. Chinese Physics C, 2011, 35(11): 1059-1065. doi: 10.1088/1674-1137/35/11/015

SUN Ji-Lei, TANG Jing-Yu and JING Han-Tao. Courant-Snyder invariant density screening method for emittance analysis[J]. Chinese Physics C, 2011, 35(11): 1059-1065. doi: 10.1088/1674-1137/35/11/015 shu

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Received: 2011-03-10
Revised: 2011-04-07

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沈阳化工大学材料科学与工程学院沈阳 110142

Courant-Snyder invariant density screening method for emittance analysis

Received Date: 2011-03-10
Accepted Date: 2011-04-07
Available Online: 2011-11-05

Abstract: Emittance is an important characteristic of describing charged particle beams. In hadron accelerators, we often meet irregular beam distributions that are not appropriately described by a single rms emittance or 95% emittance or total emittance. In this paper，it is pointed out that in many cases a beam halo should be described with very different Courant-Snyder parameters from the ones used for the beam core. A new method — the Courant-Snyder invariant density screening method - is introduced for analyzing emittance data clearly and accurately. The method treats the emittance data from both measurements and numerical simulations. The method uses the statistical distribution of the beam around each particle in phase space to mark its local density parameter, and then uses the density distribution to calculate the beam parameters such as the Courant-Snyder parameters and emittance for different beam boundary definitions. The method has been used in the calculations for beams from different sources, and shows its advantages over other methods. An application code based on the method including the graphic interface has also been designed.