Abstract
With the increasing demand of high brightness in light source, the uniform dipole can not meet the needs of low emittance, and thus the dipole with bending radius variation is introduced in this paper. The transfer matrix of a non-uniform dipole whose bending radius is linearly changed is chosen as an example and a very simple calculation formula of non-uniform dipole transfer matrices is given. The transfer matrices of some common profile non-uniform dipoles are also listed. The comparison of these transfer matrices and the matrices calculated with slices method verifies the numerical accuracy of this formula. This method can make the non-uniform beam dynamic problem simpler, very helpful for emittance research and lattice design with non-uniform dipoles.
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References
Sands M. The physics of electron storage ring. SLAC-121, 1970
Sommer M. Internal Report No. DCI/Ni/20/81, 1981
Nagaoka R. Attempt to minimize the emittance with longitudinal dipole field variation. Small Emittance Light Source Workshop, Lund, 2004
Nagaoka R, Wrulich A F. Emittance minimization with longitudinal dipole field variation. Nucl Instrum Methods Phys Res Sect A, 2007, 575: 292–304
Guo J, Raubenheimer T. Low emittance E/E + storage ring design using bending magnet with longitudinal gradient. Proc EPAC Paris, 2002, 1136–1138
Wang C X. Minimum emittance in storage rings with uniform or nonuniform dipoles. Phys Rev ST Accel Beams, 2009, 12: 061001
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Peng, Y., Xu, G. Transfer matrices of dipoles with bending radius variation. Sci. China Phys. Mech. Astron. 54 (Suppl 2), 182–184 (2011). https://doi.org/10.1007/s11433-011-4523-6
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DOI: https://doi.org/10.1007/s11433-011-4523-6