The comparative analysis of modem mathematical models for 3D problems in electron optics is presented. The new approach to solve the electron optics problems in three dimensions is presented. It is based on the princi...The comparative analysis of modem mathematical models for 3D problems in electron optics is presented. The new approach to solve the electron optics problems in three dimensions is presented. It is based on the principal ray method suggested by G. Grinberg in 1948. That perspective approach was not realized before for full three-dimensional electron optic systems, probably because of the complexity of its mathematical apparatus. We describe the analytical technique of the BEM （boundary element method） for the field evaluation, and 3rd order aberration expansion for the trajectory analysis. The first version of such computer code ＂OPTICS-3＂ and some results of numerical simulations with this code were presented.展开更多
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
文摘The comparative analysis of modem mathematical models for 3D problems in electron optics is presented. The new approach to solve the electron optics problems in three dimensions is presented. It is based on the principal ray method suggested by G. Grinberg in 1948. That perspective approach was not realized before for full three-dimensional electron optic systems, probably because of the complexity of its mathematical apparatus. We describe the analytical technique of the BEM （boundary element method） for the field evaluation, and 3rd order aberration expansion for the trajectory analysis. The first version of such computer code ＂OPTICS-3＂ and some results of numerical simulations with this code were presented.
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.
