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Abstract: In this paper we propose an explicit two-level conservative scheme based on aTE-TM like splitting of the field components in time. Its dispersion propertiesare adjusted to accelerator problems. It is simpler and faster than theimplicit version 1. It does not have dispersion in the longitudinal directionand the dispersion properties in the transversal plane are improved. Theexplicit character of the new scheme allows a uniformly stable conformal methodwithout iterations and the scheme can be parallelized easily. It assures energyand charge conservation. A version of this explicit scheme for rotationallysymmetric structures is free from the progressive time step reducing for higherorder azimuthal modes as it takes place for Yee-s explicit method used in themost popular electrodynamics codes.



Author: M. Dohlus, I. Zagorodnov

Source: https://arxiv.org/







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