Canonical aberration theory in electron optics

摘要

By defining the Hamiltonian function in an electron optical system the canonical aberration theory has been developed in the up to fifthhyphen;order approximation. Therefore, the canonical position and momentum aberrations can be expressed by eikonal functions and equivalently by Poisson brackets. Consequently, all fifthhyphen;order canonical aberration coefficients for rotationally symmetrical electron optical systems have been derived at any arbitrary observation planes.