Speaker
Description
We present a novel unified approach to the expression and correction of electron beam chromatic aberrations, which comprehensively covers optical systems of both a single-pass beam transport line and a circular accelerator satisfying periodic boundary conditions. In an electron circular accelerator, linear chromaticity has been utilized to express the first-order difference in beam focusing caused by the electron energy deviation, which can be computed by a well-known formula using a beam envelope function (Twiss parameters). However, this conventional formulation is incompatible with non-periodic beam transport lines, such as XFELs driven by linacs and the final focus system of linear colliders. We address this discrepancy by deriving a generalized formula that seamlessly connects the two different accelerator topologies. Our representation not only reproduces the well-known ring chromaticity but also provides a consistent and practical definition of chromatic aberrations for a single-pass transport line and their correction methods. This presentation outlines one approach to resolving this apparent contradiction and the universal formula to express chromatic effects.
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