Multicriteria optimization and correction of the electron beam spot with the multivariate Gaussian distribution and the spot sizes by the full width at half maximum as objective functions

Dmitrij Hasenkampf; Dirk Oberschmidt; Aniouar Bjeoumikhov

doi:10.1117/12.2676334

28 September 2023 Multicriteria optimization and correction of the electron beam spot with the multivariate Gaussian distribution and the spot sizes by the full width at half maximum as objective functions

Dmitrij Hasenkampf, Dirk Oberschmidt, Aniouar Bjeoumikhov

Author Affiliations +

Proceedings Volume 12664, Optical Modeling and Performance Predictions XIII; 1266403 (2023) https://doi.org/10.1117/12.2676334
Event: SPIE Optical Engineering + Applications, 2023, San Diego, California, United States

Abstract

Many industrial devices for X-Ray fluorescence analysis have a need for more optical brilliance. The heart of these devices, the X-ray tube, uses a focused electronic beam to produce the X-ray. The quality of electronic spot is one of the most important criteria for brilliance. The development of high brilliance X-ray tubes requires extensive systemic consideration, which often occurs in cycles. The draft and design process should be optimized in a result-oriented manner. Multicriteria optimization is used to pursue consistently a systemic approach of derivative-free and gradientbased methods. The interaction of the electric particles with the field, considering geometric, physical, and material parameters, influences the definition of the objective function. The objective function includes the geometry of a spot, being an ellipse, and the physical value of a multivariate Gaussian distribution. The second one says how many electrons there are on the spot. The set point approximates an actual value with the aid of a quadratic difference in the multicriteria optimization. The investigation of specific electron quantities per area happens with a double integral for every concentric ellipse selection of the spot. The analysis of electron trajectories helps to design the special shape of the Wehnelt cylinder, which is supported by multicriteria optimization. Results show that simultaneous systemic development reduces the number of design cycles and enables influence on the objective functions already in the preliminary design phase.

Conference Presentation

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Dmitrij Hasenkampf, Dirk Oberschmidt, and Aniouar Bjeoumikhov "Multicriteria optimization and correction of the electron beam spot with the multivariate Gaussian distribution and the spot sizes by the full width at half maximum as objective functions", Proc. SPIE 12664, Optical Modeling and Performance Predictions XIII, 1266403 (28 September 2023); https://doi.org/10.1117/12.2676334

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