On theory of paraxial lateral aberrations in imaging electrostatic electron optics based on asymptotic solutions

In the present paper, the paraxial lateral aberrations of second order and third order expressed in a general form have been derived emphatically by using asymptotic solutions of paraxial equation of electron optics. The relationship between the coefficients of asymptotic solutions of paraxial equation has been investigated, which proves that the coefficients of asymptotic solutions are related each other. It has proven that the paraxial sphero-chromatic aberration of second order possess an greatest part in whole paraxial lateral aberrations. and the paraxial chromatic aberration of magnification is only related to infinitesimal quantities of third order. Results of the present paper will have theoretical significance for studying theory of imaging electron optics.