Electromagnetic wave equation

Maxwell’s theory of electromagnetism

Published in Edward J. Rothwell, Michael J. Cloud, Electromagnetics, 2018

Mathematically, electromagnetic waves arise as a subset of solutions to Maxwell’s equations. These solutions obey the electromagnetic “wave equation,” which may be derived from Maxwell’s equations under certain circumstances. Not all electromagnetic fields satisfy the wave equation. Obviously, time-invariant fields cannot represent evolving wave disturbances, and must obey the static field equations. Time-varying fields in certain metals may obey the diffusion equation rather than the wave equation, and must thereby exhibit different behavior. In the study of quasistatic fields we often ignore the displacement current term in Maxwell’s equations, producing solutions that are most important near the sources of the fields and having little associated radiation. When the displacement term is significant we produce solutions with the properties of waves.

Time reversal mirror for hyperthermia of multi-focal breast tumors using electromagnetic time reversal technique

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Journal Information

Published in Electromagnetics, 2022

Baidenger Agyekum Twumasi, Jia-Lin Li, Ebenezer Tawiah Ashong, Christian Dzah, Dustin Pomary

To realize the process of time reversal, let’s consider the electromagnetic wave equation depicting the propagation of the electric field in a loss free medium as given by

Electromagnetic wave equation

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Maxwell’s theory of electromagnetism

Time reversal mirror for hyperthermia of multi-focal breast tumors using electromagnetic time reversal technique