“…They also applied the DA method on the quadrupole, octupole, and practical hexapole correctors whose electric/magnetic fields are in the form of discrete arrays. The correctors include round lenses and hexapole lenses [ [17] , [18] , [19] , [20] ]. Also, Yongfeng Kang et al, propose a new approach, based on the differential-algebraic (DA) method, for calculating high-order aberration coefficients for variable axis lens (VAL) systems.…”