Inverse Design Tool for Ion Optical Devices using the Adjoint Variable Method

Scientific Reports
Lars Thorben NeustockLambertus Hesselink

Abstract

We present a computer-aided design tool for ion optical devices using the adjoint variable method. Numerical methods have been essential for the development of ion optical devices such as electron microscopes and mass spectrometers. Yet, the detailed computational analysis and optimization of ion optical devices is still onerous, since the governing equations of charged particle optics cannot be solved in closed form. Here, we show how to employ the adjoint variable method on the finite-element method and Störmer-Verlet method for electrostatic charged particle devices. This method allows for a full sensitivity analysis of ion optical devices, providing a quantitative measure of the effects of design parameters to device performance, at near constant computational cost with respect to the number of parameters. To demonstrate this, we perform such a sensitivity analysis for different freeform N-element Einzel lens systems including designs with over 13,000 parameters. We further show the optimization of the spot size of such lenses using a gradient-based method in combination with the adjoint variable method. The computational efficiency of the method facilitates the optimization of shapes and applied voltages of all surfaces of...Continue Reading

References

Oct 17, 1998·Rapid Communications in Mass Spectrometry : RCM·R M BraunN Winograd
Jun 14, 2003·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Ole Sigmund, Jakob Søndergaard Jensen
Jun 6, 2013·Optics Express·Jesse Lu, Jelena Vučković
Oct 10, 2013·Optics Express·Christopher M Lalau-KeralyEli Yablonovitch
Jun 13, 2014·Optics Express·Armand C R NiederbergerRaymond G Beausoleil
Jul 1, 2014·Optics Letters·Yu ZhangMohamed H Bakr
Sep 15, 2015·Optics Express·Paul Hansen, Lambertus Hesselink
Oct 6, 2017·Nature·Niels AageOle Sigmund

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