Application of particle swarm optimization in the design of a mono-capillary X-ray lens

摘要

The non-uniformities of a fabricated mono-capillary X-ray lens (MCXRL) degrade the performance of the X-ray analysis system. The main evaluation criterion of a fabricated MCXRL is total root mean square error, which consists of the profile error (PE) and the central axis straightness error (CASE). In the present paper, we develop an open-source code package to evaluate the PE value of varying diameter glass tubes (VDGT). The source code named 'PSO X-ray Lens Finder' in the package is written using the particle swarm optimization (PSO) algorithm, and the other source code named 'MMN X-ray Lens Finder' is developed using the multiparameter multilevel nested-loop (MMN) algorithm. We take the research of a paraboloidal MCXRL as an example to introduce the source code package, and the mathematical theory and calculation details of the package are given in the method section. As a result, the 'MMN X-ray Lens Finder' can be used alone to guide engineers in cutting a high-performance MCXRL from VDGT; the 'PSO X-ray Lens Finder' can be applied as a faster alternative strategy for cutting work.