Some theoretical considerations of ion optics of the mass spectrometer ion source: I. Mathematical analysis of ion motion

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Abstract
The equation of trajectory of a charged particle in a two-dimensional electric field and a normal magnetic field has been derived from the basic equations of motion. A series of paraxial approximations reduced the non-linear trajectory equation to a linear inhomogeneous ordinary differential equation. This equation was used to compute the ion trajectories in the multiple-slit ion source of the mass spectrometer. The effect on the ion trajectories of the various components such as (i) repeller field plate, (ii) exit slit plate, (iii) deflector plates and (iv) the source magnetic field, has been evaluated.