Abstract
The paraxial motion, described in terms of the guiding center and gyroradius, of noninteracting charged particles in arbitrarily varying, azimuthally symmetric electric and magnetic fields is considered. In particular, the case where the magnetic field passes through zero is treated exactly. It is shown that a complete interchange of the guiding center and radius vector coordinates can be obtained for a nonimpulsive field reversal. The formalism has use in electron optics as well as transverse wave-beam interactions.

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