Theoretical analysis of liquid immersion development in electrophotography

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Abstract
Liquid ink development depends upon the electrophoretic migration of charged toner particles towards a latent image, which is a pattern of surface charge on a dielectric. The electric field under which this occurs has two fundamental components—a driving field due to the latent image and an internal field which arises because of the space charge within the ink layer. A general analytic expression is obtained for the spatial frequency components of the electric field in terms of the frequency components of the charge distributions. The kinetics of the development process is then described by assuming two noninteracting species of charged particles within the ink and obtaining a solution for the motion of these particles. The problem is solved numerically for the case of a solid‐area latent image and for a periodic image. The analysis is sufficiently general so that previous results in electrophoretic development emerge as special cases, which hold within certain limitations. Guidelines are provided with regard to the importance of the space‐charge effect in a real liquid ink system.

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