Abstract
Abstract An optimization tool for the design of electrostatic lens systems with axial symmetry is presented. This tool is based on the second-order electrode method combined with a multivariable numerical optimization procedure. The second-order electrode method makes a cubic spline approximation to the axial potential for a given electrode shape. With the help of this approximation, a numerical optimization can be done. To demonstrate this optimization tool, a lens system for Auger analyses is optimized. It is shown that variations in the practical constraints imposed on the design, like maximum electrode potential or maximum lens diameter, have strong effects on the obtainable lens quality. It is concluded that a numerical optimization does not take over the lens designer's job, but allows him to thoroughly examine the optical consequences of engineering choices by finding the optimum design for each set of constraints.
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More From: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
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