Some theoretical aspects of high resolution xerographic development

The distribution of toner on the surface of a xerographic plate for an arbitrary one-dimensional periodic charge pattern is considered. Development is taken to be complete, by which it is meant that the electrostatic fields vanish outside the toner already deposited on the surface. The toner is assumed to be a continuous nonconducting medium with a uniform charge density per unit volume. Simultaneous algebraic transcendental equations are formulated for the field-free surface bounding the toner. Examples are given for certain important cases, and the effects of relevant parameters of the system are discussed.