Modulating mathematical function to represent the magnetic field of the magnetic lens

Abstract

In the present work we modulate a mathematical function to use it as a target function to represent the magnetic field distribution for the double pole-pieces magnetic lens. This function has, in fact, two optimization parameters. The only important parameter is the half half-width of the field for the proposed magnetic lens, which can affected objective properties, when the other one optimization parameter (lens length) is constant, which is the literature survey proved that unaffected on the lens properties. Results have clearly shown that the optimization parameter for current function has a considerable effect on the lens aberrations, and the reconstructed pole-pieces.