Minimum emittance in TBA and MBA lattices

XU Gang; PENG Yue-Mei

doi:10.1088/1674-1137/39/3/037005

Chinese Physics C> 2015, Vol. 39> Issue(3) : 037005 DOI: 10.1088/1674-1137/39/3/037005

Minimum emittance in TBA and MBA lattices

XU Gang ,
PENG Yue-Mei

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Abstract：
For reaching a small emittance in a modern light source, triple bend achromats (TBA), theoretical minimum emittance (TME) and even multiple bend achromats (MBA) have been considered. This paper derived the necessary condition for achieving minimum emittance in TBA and MBA theoretically, where the bending angle of inner dipoles has a factor of 3^1/3 bigger than that of the outer dipoles. Here, we also calculated the conditions attaining the minimum emittance of TBA related to phase advance in some special cases with a pure mathematics method. These results may give some directions on lattice design.

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XU Gang and PENG Yue-Mei. Minimum emittance in TBA and MBA lattices[J]. Chinese Physics C, 2015, 39(3): 037005. doi: 10.1088/1674-1137/39/3/037005

XU Gang and PENG Yue-Mei. Minimum emittance in TBA and MBA lattices[J]. Chinese Physics C, 2015, 39(3): 037005. doi: 10.1088/1674-1137/39/3/037005 shu

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Received: 2014-05-01
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

Minimum emittance in TBA and MBA lattices

XU Gang
PENG Yue-Mei

Received Date: 2014-05-01
Accepted Date: 1900-01-01
Available Online: 2015-03-05

Abstract: For reaching a small emittance in a modern light source, triple bend achromats (TBA), theoretical minimum emittance (TME) and even multiple bend achromats (MBA) have been considered. This paper derived the necessary condition for achieving minimum emittance in TBA and MBA theoretically, where the bending angle of inner dipoles has a factor of 3^1/3 bigger than that of the outer dipoles. Here, we also calculated the conditions attaining the minimum emittance of TBA related to phase advance in some special cases with a pure mathematics method. These results may give some directions on lattice design.