Electromagnetic space-time crystals. II. Fractal computational approach
G. N. Borzdov
TL;DR
This paper introduces a fractal numerical method for analyzing electromagnetic space-time crystals, enabling approximate solutions to the Dirac equation with an accuracy assessment criterion.
Contribution
It presents a novel fractal computational approach and finite models for electromagnetic crystals, advancing the numerical analysis of complex space-time structures.
Findings
Finite models enable approximate solutions to the Dirac equation.
A new criterion assesses the accuracy of these solutions.
The fractal approach improves computational analysis of electromagnetic crystals.
Abstract
A fractal approach to numerical analysis of electromagnetic space-time crystals, created by three standing plane harmonic waves with mutually orthogonal phase planes and the same frequency, is presented. Finite models of electromagnetic crystals are introduced, which make possible to obtain various approximate solutions of the Dirac equation. A criterion for evaluating accuracy of these approximate solutions is suggested.
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Taxonomy
Topicsadvanced mathematical theories