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Description of longitudinal space charge effects in beams and plasma through dielectric permittivity

Description of longitudinal space charge effects in beams and plasma through dielectric permittivity

We develop a universal framework that allows for quickly solving a wide class of problems for longitudinal space charge effects in beams and plasmas in cylindrical geometry. We introduce the longitudinal dielectric permittivity for the beam of charged particles, which describes its collective space charge response. The analysis yields an …