K. Golikov, N. K. Krasnova, I. A. Martsinovsky Saint-Petersburg State Polytechnic University 29 Politekhnicheskaya str., St.-Petersburg, 195251, Russia E-mail: n.k.krasnova@mail.ru In the article, the variants of energy analysers integrating a high quality focusing with a high energy dispersion are suggested. <...> Two dimensional and trans-axial field structures to be offered are solutions of inverse problems which are defined on the base of electron-optical properties to be desired. <...> Some ideas and trends are given to design new systems with high quality electron-optical characteristics. <...> PACS: 29.30.Dn, 07.81.+a Keywords: electron spectroscopy, electrostatic energy analysers, inverse problems of analytical mechanics, energy dispersion, energy resolution. <...>