A symplectic Particle-in-Cell algorithm which has the particularity to use a space coordinate as the independent variable instead of time is presented. The algorithm follows from canonical transformation to the Frenet-Serret coordinate system of the relativistic Low Hamiltonian for collisionless plasma. It presents the advantage to greatly simplify numerical simulation of problems such as tracking with space-charge throughout an electron gun.
\ No newline at end of file
A symplectic Particle-in-Cell algorithm is presented which has the particularity to use a space coordinate as the independent variable instead of time. The algorithm follows from canonical transformation of the relativistic Low Hamiltonian for collisionless plasma to the Frenet-Serret coordinate system. It presents the advantage to greatly simplify numerical simulation of problems such as tracking with space-charge throughout an electron gun.
