Lattice properties of the phase I BNL X-ray lithography source obtained from fits to magnetic measurement data

The orbit, tune, chromaticity and beta values for the Phase-I XLS (X-ray Lithography Source) ring were computed by numerical integration of the equations of motion using fields obtained from the coefficients of the 3-D solution of Laplace's equation evaluated by fits to magnetic measurements. The results are in good agreement with available data. The method has been extended to higher-order fits of TOSCA-generated fields in planes normal to the reference axis using the coil configuration proposed for the Superconducting XLS (SXLS). Agreement with results from numerical integration through fields given directly by TOSCA is excellent. The formulation of the normal multipole expansion presented by K.L. Brown and R.V. Sevranckx (1984) has been extended to include skew multipole terms. The method appears appropriate for analysis of magnetic measurements of the SXLS.<
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