Solving the Cauchy Problem for a System of Maxwell’s Equations
https://doi.org/10.56304/S2304487X22010047
Abstract
A system of Maxwell’s equations describing the propagation of electromagnetic waves is considered. For this system, differentiable initial conditions separated by spatial variables are set at the initial time. The resulting Cauchy problem has an explicit general solution, which is the corresponding linear combination of plane waves traveling at the speed of light propagating along all three spatial directions.
About the Authors
S. P. Bautin
Snezhinsk Institute of Physics and Technology, National Research Nuclear University MEPhI
Russian Federation
Russian Federation
456776
Chelyabinsk region
Snezhinsk
A. G. Obukhov
Tyumen Industrial University
Russian Federation
Russian Federation
625000
Tyumen
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Review
For citations:
Bautin S.P., Obukhov A.G. Solving the Cauchy Problem for a System of Maxwell’s Equations. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2022;11(1):28-36. (In Russ.) https://doi.org/10.56304/S2304487X22010047
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