Abstract

The capability of magnetic induction to transmit signals in attenuating environments has recently gained significant research interest. The wave aspect—magnetoinductive (MI) waves—has been proposed for numerous applications in RF-challenging environments, such as underground/underwater wireless networks, body area networks, and in-vivo medical diagnosis and treatment applications, to name but a few, where conventional electromagnetic waves have a number of limitations, most notably losses. To date, the effects of eddy currents inside the dissipative medium have not been characterised analytically. Here we propose a comprehensive circuit model of coupled resonators in a homogeneous dissipative medium, that takes into account all the electromagnetic effects of eddy currents, and, thereby, derive a general dispersion equation for the MI waves. We also report laboratory experiments to confirm our findings. Our work will serve as a fundamental model for design and analysis of every system employing MI waves or more generally, magnetically-coupled circuits in attenuating media.

Highlights

  • The capability of magnetic induction to transmit signals in attenuating environments has recently gained significant research interest

  • Inspired by the invention of m­ etamaterials[5,6,7], magnetoinductive (MI) waves were first observed within a chain of magnetic resonant ­circuits[8,9], and owe their existence to the near field coupling between those elements

  • The eddy currents induced in a non-ideal medium are expected to alter the self impedance of the radiators as the absorption of electromagnetic waves for near-field systems generally creates a feedback effect on the load of the transmitter

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Summary

Introduction

The capability of magnetic induction to transmit signals in attenuating environments has recently gained significant research interest. The magnitude of the real and imaginary parts of the complex self inductance is directly proportional to the working frequency (see Fig. S2 in the Supplementary Information) due to the stronger eddy current effects at Scientific Reports | (2021) 11:7679 |

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