A lens system has been designed for an electron energy analyzer by the numerical beam-tracing method using the paraxial equation of motion for electrons. Three new modes are investigated, in addition to a usual one, as methods for applying voltages to the lens electrodes. The emittance diagrams are obtained for the system by solving the exact equation of motion, and they clearly show the effects of aberrations. The transmission for electrons is calculated for each of the four modes by using the diagrams. The lens system can be used with considerable efficiency in the different energy regions appropriate to the respective modes.
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