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The numerical code InCa4D, used for simulating CPU-efficiently the guiding ofcharged beam particles through insulating straight nano or macro capillaries,is presented in detail. The paper may be regarded as a walk through ournumerical code where we will detail how we sample the inserted beam with agiven emittance, how we compute the charge deposition and charge dynamics atthe interfaces of the insulating capillary, how we evaluate the electric fieldby accounting for imposed boundary conditions and how we evaluate efficientlythe trajectories of the inserted charged particles. The code InCa4D accountsfor the correct screening of the deposited charges by polarization charges thatappear at the interfaces and for the correct relaxation rates and decay ratesin the case where the outer surface of the capillary is covered by a groundedconducting paint or not.

CPU efficient numerical code for charged particle transport through insulating straight capillaries