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ABSTRACT
To study the nature of aberrations which exist, the general non-linear electron trajectory equation, in curved axis systems, correct to third order, in cylindrical electrostatic fields, is separated into three linear equations giving paraxial ray equation and equations for correcting paraxial solution to second and third order respectively. The paraxial ray equation has been solved for the case of a curved axis telescopic lens.
On studying the solutions of second and third order correction equations it is found that ordinarily in case of a telescopic lens an error occurs in ‘position’ in second order solution and both in ‘position’ and ‘angle’ in the third order solution. It has been pointed out theoretically that for certain ‘axial potential’ and ‘curvature’ it will be possible to eliminate all aberrations up to third order. Such a lens could be realized by printed circuit techniques.