New Vortices in Axisymmetric Beams in Inhomogeneous Magnetic Field

We analyzed localized vortices in non-neutral inhomogeneous by density and velocity electron beams propagating in vacuum along the inhomogeneous external magnetic field. These vortices distinguish from vortices, which used in [1,2,3] because of inhomogeneous external magnetic field. Also new types o...

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description We analyzed localized vortices in non-neutral inhomogeneous by density and velocity electron beams propagating in vacuum along the inhomogeneous external magnetic field. These vortices distinguish from vortices, which used in [1,2,3] because of inhomogeneous external magnetic field. Also new types of vortex are obtained by new solution method of nonlinear equations [3]. That method distinguish from standard Larichev-Reznik or Reznik method, which used in [1]. It has been found new expression for electric field potential of vortex in a wave frame. The expression is axisymmetric in a wave frame. New vortices are new solitons in the inhomogeneous external magnetic field.
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These vortices distinguish from vortices, which used in [1,2,3] because of inhomogeneous external magnetic field. Also new types of vortex are obtained by new solution method of nonlinear equations [3]. That method distinguish from standard Larichev-Reznik or Reznik method, which used in [1]. It has been found new expression for electric field potential of vortex in a wave frame. The expression is axisymmetric in a wave frame. New vortices are new solitons in the inhomogeneous external magnetic field.</abstract><pub>IEEE</pub><doi>10.1109/PAC.2005.1590449</doi><tpages>2</tpages></addata></record>
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subjects Electric potential
Electron beams
Frequency
Laplace equations
Magnetic analysis
Magnetic fields
Maxwell equations
Nonlinear equations
Nonuniform electric fields
Poisson equations
title New Vortices in Axisymmetric Beams in Inhomogeneous Magnetic Field
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