In this paper, a general theory of the relativistic asymptotic third order geometrical and first order chromatic aberrations of a combined electrostatic-magnetostatic focuslng-deflection system have been presented. Al...In this paper, a general theory of the relativistic asymptotic third order geometrical and first order chromatic aberrations of a combined electrostatic-magnetostatic focuslng-deflection system have been presented. All their aberration coefficients contain no derivative higher than the second order. The divergence in Hawkes’ theory of asymptotic aberrations has been thoroughly voided in the present paper.展开更多
The concept of an electrostatic ordinary multipole has been extended to an electrostatic generalized multipole which consists of a pair of close placed electrostatic ordinary multipole and electrostatic round lens. Th...The concept of an electrostatic ordinary multipole has been extended to an electrostatic generalized multipole which consists of a pair of close placed electrostatic ordinary multipole and electrostatic round lens. The definition of the M function for an electrostatic ordinary multipole has been extended to that of the M function for an electrostatic generalized multipole. The relation between the symmetry group of anelectrostaticordinary multipole and that of its corresponding electrostatic generalized multipole, and the relation between their constraint relations among their mth partial harmonic potentials have been derived. By analyzing some important electrostatic generalized multipoles, it is concluded that if an electrostatic deflector-multipole and an electrostatic round lens are placed close to each other , one cannot assert that this combined system can always be treated by the aberration theory of a combined focusing-deflection system.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘In this paper, a general theory of the relativistic asymptotic third order geometrical and first order chromatic aberrations of a combined electrostatic-magnetostatic focuslng-deflection system have been presented. All their aberration coefficients contain no derivative higher than the second order. The divergence in Hawkes’ theory of asymptotic aberrations has been thoroughly voided in the present paper.
文摘The concept of an electrostatic ordinary multipole has been extended to an electrostatic generalized multipole which consists of a pair of close placed electrostatic ordinary multipole and electrostatic round lens. The definition of the M function for an electrostatic ordinary multipole has been extended to that of the M function for an electrostatic generalized multipole. The relation between the symmetry group of anelectrostaticordinary multipole and that of its corresponding electrostatic generalized multipole, and the relation between their constraint relations among their mth partial harmonic potentials have been derived. By analyzing some important electrostatic generalized multipoles, it is concluded that if an electrostatic deflector-multipole and an electrostatic round lens are placed close to each other , one cannot assert that this combined system can always be treated by the aberration theory of a combined focusing-deflection system.
