Abstract
In this Letter we calculate the effects of a linearly varying focusing field on radiation damping and quantum excitation in an electron storage ring using a quantum mechanical perturbation approach. This model predicts correctly the limits of pure bending and pure focusing. We find that quantum excitation can be exponentially suppressed by the focusing field when the radiation formation length is comparable to the transverse-oscillation wavelength. This new result on quantum excitation may have interesting applications in the generation of ultralow emittance beams.
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