%0 Journal Article
%T APPLICATION OF LIOUVILLE''S THEOREM TO ELECTRON AND ION OPTICAL SYSTEMS POSSESSING THE PRIMARY ABERRATIONS
存在初级象差下电子和离子光学系统中刘维定理的应用
%A XIMEN JI-YE
%A
西门纪业
%J 物理学报
%D 1981
%I
%X The method of matrix calculations is widely applied in the theory of electron- and ion-optics, especially in the aberration theory. In the present paper, a rotationally symmetrical electron-optical system and an ion-optical system with crossed toroidal electric and inhomogeneous magnetic fields are treated respestively. The general transfer matrices for the above mentioned electron- and ion-optical systems possessing the primary aberrations are derived. As a direct consequence of Liouville's theorem, we prove that the determinant of the transfer matrix has the value 1 in the approximation up to the primary aberrations. This general conclusion is useful for the electron-and ion-optical a berration theory and the computer-aided design.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=5866FAE2366583870D3A0FD0BDC2F501&yid=AA64127AB7DEB65D&vid=340AC2BF8E7AB4FD&iid=F3090AE9B60B7ED1&sid=0E223208672FF713&eid=8560D04B70E571A6&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0