Minimum emittance in TBA and MBA lattices

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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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Minimum emittance in TBA and MBA lattices

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 31/3 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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