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A realistic approach to calculate the transport matrix in RF cavities isdeveloped. It is based on joint solution of equations of longitudinal andtransverse motion of a charged particle in an electromagnetic field of thelinac. This field is a given by distribution (measured or calculated) of thecomponent of the longitudinal electric field on the axis of the linac. Newapproach is compared with other matrix methods to solve the same problem. Thecomparison with code ASTRA has been carried out. Complete agreement fortracking results for a TESLA-type cavity is achieved. A corresponding algorithmwill be implemented into the MARS15 code.

A new approach to calculate the transport matrix in RF cavities