Grime G. W., Watt F. Beam optics of quadrupole probeforming systems, Adam Hilger. — Bristol, 1984. 4. <...> Ponomareva Sumy State University, 2 Rimsky-Korsakov str., Sumy, 40007, Ukraine E-mail: ponomareva_a_a@pochta.ru Magnetic and electrostatic quadrupole lenses in which aperture radius is varied by linear low in the longitudinal direction are considered. <...> The calculations of field gradient distribution alone optical axes are carried out in the 3D-geometry for long electrostatic and magnetic quadrupole lenses. <...> The analytical relations for cardinal elements of quadrupole lenses with conical aperture are given. <...> The comparison of ion-optical properties of equivalent quadrupole lenses with conical and cylindrical apertures are carried out. <...> Проведен расчет распределения градиента поля вдоль оптической оси в ЗD-геометрии для длинных электростатической и магнитной квадрупольных линз. <...>