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Kapchinscky ENVelope (KENV) - solver of the Kapchinsky-Vladimirsky envelope equation

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Kapchinsky ENVelope (KENV)

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The solver of Kapchinsky-Vladimirsky envelope equation for electron beam with space charge.

V. Fedorov, D. Nikiforov, A. Petrenko, (Novosibirsk, 2019)


KENV is a solver code for the equation of the envelope of an electron beam with the Kapchinsky-Vladimirsky distribution for accelerator physics.

It is particularly suitable for accelerating an electron beam in direct channels with solenoidal and quadrupole focusing.

In order to use the KENV code correctly, it is important to read the Doc.


The algorithm reduces to lowering the order of the Kapchinsky-Vladimirsky differential equations to the first and subsequent integration.


KENV completely written in Python.


In order to quickly install all the required Python libraries in the new environment, just download requirements and run the command on the command line:

pip install -r requirements.txt


Publication in Particles and Nuclei.

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