On the quasi-polynomial 3D potentials of electric and magnetic fields
Autor: | Nadezhda K. Krasnova, Alexander S. Berdnikov, Igor A. Averin, Konstantin V. Solovyev |
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Rok vydání: | 2017 |
Předmět: |
010302 applied physics
Physics Mathematical analysis Harmonic (mathematics) Electron Sense (electronics) Quasi-polynomial 01 natural sciences 010305 fluids & plasmas Magnetic field symbols.namesake Quantum mechanics 0103 physical sciences Euler's formula symbols Instrumentation (computer programming) Energy (signal processing) |
Zdroj: | St. Petersburg Polytechnical University Journal: Physics and Mathematics. |
ISSN: | 2405-7223 |
DOI: | 10.1016/j.spjpm.2017.02.004 |
Popis: | Spectrographic electron and ion optical structures markedly raise the possibilities of modern energy and mass analysis. Electric and magnetic fields which potentials are expressed by functions homogeneous in Euler's sense are the effective instrumentation that is used for creating new spectrographic analytical devices with the determined working characteristics. This paper puts forward and discusses some methods for building 3D harmonic and homogeneous in Euler's sense structures representable as the polynomials of finite degree with respect to one of variables. These strictly mathematical approaches provide a possibility of expanding significantly a class of quasi-polynomial potentials and of enriching modern analytical instrumentation by new spectrographic electrical and magnetic configurations. |
Databáze: | OpenAIRE |
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