An Effective Longitudinal Space-Charge Impedance Model for Beams with Non-uniform and Non-axissymmetric Transverse Density
نویسنده
چکیده
Use of a one-dimensional model of longitudinal space-charge (SC) impedance has been proposed [1, 2] for studying the microbunching instability in single-pass delivery systems relevant for the next generation of FELs. For beams with uniform transverse density and circular cross-section of radius rb the SC impedance can be expressed in a handy analytical form, making this model particularly convenient. In this report we show how with an appropriate choice of rb one can use this as an effective-beam model to approximate beams with non-axissymmetric and non-uniform transverse densities.
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