Summary
The aim of this note is to demonstrate that the electromagnetic field, in the time domain, sustained by a point charge moving at a constant velocity along the axis of a circular waveguide can be expanded by means of a Fourier-Bessel series. This expansion is rapidly convergent in the complementary range of the classical integral representations, namely for large values of |z′-vt′|. Quickly convergent expansions are necessary for tracking codes to simulate beam dynamics in accelerators.
References
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Miano, G., Verolino, L. & Vaccaro, V.G. Time domain analysis of a charged particle travelling along the axis of a circular waveguide. Nuov Cim B 111, 659–664 (1996). https://doi.org/10.1007/BF02726658
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DOI: https://doi.org/10.1007/BF02726658