Advanced Software Package for Estimatiom Boundary Trajectories of Electron Beams and Other Practical Applications

Abstract

The article describes advanced computer software for numerical simulation, interpolation, extrapolation, and approximation of electron beam boundary trajectories. From a mathematical point of view, the distinguishing feature of the proposed software is the use of different-order root-polynomial functions for estimating the boundary trajectories of electron beams. The accuracy of estimation is very high. The level of interpolation and extrapolation errors is a range of a few percent, and in some cases, it is a fraction of a percent. For obtaining a minimal level of error estimation and guaranteeing the convergence of the choosing function, the method of including the positive deviation into root-polynomial functions is proposed and verified. Corresponding examples are also given. Particularities of realizing computer software in the Python programming language are also considered. Using manual input of digital data for interpolation and approximation is also possible. Elaborated computer software is supplied by a well-developed graphic user interface, and for simplicity of working with it, different simulation tasks are located in the separate bookmarks. Transferring numerical data between different tasks using the corresponding interface components is also possible. The program interface is created using advanced means of Python programming and software standards, and for this reason, it is easy for understanding by users and working with it. Therefore, elaborated computer software can also be used for solving other significant practical tasks connected with interpolation, approximation, and extrapolation of stiff ravine dependences.