BACKGROUNDThis was the mid-semester project completed for my first-year second term Integrated Course Block (ICB) class at Olin. ICB is Olin's innovative and constantly evolving
introduction to vector calculus and E+M physics that emphasizes
numerical simulation, rigorous analysis, and communication of technical ideas.COLLABORATORSMarc Sweetgall, Olin College '10Often used in electron microscopy, an electromagnetic
lens utilizes the magnetic field generated by a coil
of current-carrying wire to focus a beam of electrons onto
a desired point. In this work, we propose a simple model of
an electromagnetic lens, apply the optical concept of focal
length to the electromagnetic domain, and propose two distinct
methods for calculating focal length using a numerical
simulation of the lens. We then use the results of systematic
experimentation with the simulation to determine how the
focal length of a given model lens depends mathematically
upon the lens’ geometry, the applied current, and the
velocity of the electron beam.ABSTRACT PDF available for viewing and download below.FULL TEXT |