Solution to the Klein–Gordon equation for the study of time-domain waveguide fields and accompanying energetic processes

Ozlem Akgun, Oleg A. Tretyakov
  • IET Microwaves Antennas & Propagation, September 2015, the Institution of Engineering and Technology (the IET)
  • DOI: 10.1049/iet-map.2014.0512

Time-domain waveguide fields and dynamic processes of power flow and energy densities.

What is it about?

Waveguides are used to carry waves in the microwave frequency ranges of the electromagnetic spectrum. Since the development of the theory in the 19th century, almost all theoretical studies in the 20th century were based on the time-harmonic field concept. In this concept, solutions were obtained in the class of complex-valued functions resulting in time-averaged power flow and energy densities, which are just constants. Hence, the opportunity to study the dynamic processes of the energetic characteristics is lost in the time-harmonic electromagnetics. To overcome this drawback, we solve the problem of a waveform propagation in the class of the real-valued functions. And, we have shown that energetic process in the waveguide is also a wave process.

Why is it important?

Velocity of transportation of the modal field energy through a waveguide cross section has been found explicitly as a function of time even in the case of the signals varying harmonically in time. Furthermore, we have discovered the situations when the velocity of transportation of the modal field energy and the phase velocity have opposite directions.


Dr Ozlem Akgun
Aksaray Universitesi

I expect that this study will raise interest in analytical studies of the time-domain field problems among young researchers. And, it seems that the approach proposed in this article will give a fresh look at the principle aspects of the "EmDrive" project, which are as yet unexplained.

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The following have contributed to this page: Dr Ozlem Akgun

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