Time Series Artificial Neural Network Approach for Prediction of Optical Lens Properties

A.H. Isika and N. Isik b aMehmet Akif Ersoy University, Department of Computer Engineering, Burdur, Turkey bMehmet Akif Ersoy University, Department of Science Education, Burdur, Turkey

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Well-designed electrostatic cylindrical lenses are commonly used to control charged particles in atomic and molecular physics instruments such as electron guns and electron microscopes. The most commonly used of these, three-element electrostatic lenses are capable of keeping magnification constant for definite image position. The correct determination of focal and aberration characteristics of these lenses is very important for experimental studies. In this study, motions of electrons in three-element electrostatic cylindrical lenses have been investigated with nonlinear autoregressive exogenous based time series artificial neural network technique. The spherical and chromatic aberrations which affect the beam are also predicted with time series artificial neural network technique. This method is a mathematical model that emulates the biological neural networks. The basic working principle of time series artificial neural network technique is training of network with the known data and then prediction of the unknown data. Simulation results from SIMION 8.1 ray-tracing program are used as training and test data set. According to the results obtained from time series artificial neural network technique technique, a considerably agreement is found between simulation and artificial neural network technique prediction results. The study shows that such an artificial neural network model which has time advantage can be applicable to various electron and ion beam apparatus.

DOI: 10.12693/APhysPolA.129.514 PACS numbers: 41.85.Ne, 07.05.Tp, 84.35.+I, 07.05.Mh