Study of the energetic field characteristics of the TE-modalwaves in waveguides

Erden, Fatih

doi:10.3906/fiz-1605-1

Cited by 11 publications

(6 citation statements)

References 9 publications

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“…One can find in publications [19]- [21] information about the implementation of MEs to analytically solve the boundary-value problems and the causal dynamic constitutive relations for the time-domain fields.…”

Section: Discussionmentioning

confidence: 99%

A Novel Simple Format of Maxwell’s Equations in SI Units

Tretyakov

Erden

2021

IEEE Access

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In the International System of Units (SI), distinct physical dimensions were assigned to the electric (E) and magnetic (H) fields as volt-per-meter and ampere-per-meter, respectively. To save the dimensional balance in the standard Maxwell's equations (MEs) in SI units, a pair of free-space constants, 0 and µ 0 , with their dimensions of farad-per-meter and henry-per-meter were installed heuristically. Eventually, every quantity that participated in each ME in SI units has an individual physical dimension distinct from the other terms therein. This situation hampers the control of the dimensional balance in the processes of analytical manipulations with the MEs during the theoretical studies. Reformatting the freespace constants is performed in this article so that one new constant is obtained with its dimension of volt, and the other one has its dimension of ampere. These gave a handle to scale the electric and magnetic fields appropriately. Ultimately, the new fields are obtained with their common dimension of inverse-meter. Meanwhile, the standard differential procedures 0 ∂ ∂t and µ 0 ∂ ∂t from MEs are obtained in their simple common format of ∂ c ∂t , where c is the speed of light. The MEs in the novel format are exhibited for the fields in the free space, plasma, and dielectrics. The content of this article is destined for the researchers who deal with theoretical studies in electrodynamics, and the level of content is appropriate for and realizable by recent graduates, M.Sc. and Ph.D. students, and professionals.

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Section: Discussionmentioning

confidence: 99%

A Novel Simple Format of Maxwell’s Equations in SI Units

Tretyakov

Erden

2021

IEEE Access

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“…Our results in this aspect were presented recently in [9,10]. As for the other applications of the EAE for solving various practical time-domain problems, one can get an overview from publications [11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 93%

Inertial Properties of the Te Waveguide Fields

Erden¹,

Tretyakov²,

Cosan³

2018

PIER M

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Inertial properties of the TE-waveguide modal fields are studied in time-domain making use of an analytical method, named as evolutionary approach to electrodynamics (EAE ). To achieve inertial characteristics, electric field vector with dimension of volt per meter and magnetic field vector with dimension of ampere per meter in Maxwell's equations are factorized in SI units to obtain new electric and magnetic field vectors with their common dimensions of inverse meter. Having the fields with the common dimensions makes them summable. Using EAE, modal basis elements that depend on transverse coordinates and modal amplitudes that depend on time and longitudinal coordinate are obtained by solving the boundary eigenvalue problem. As a result of using the new electric and magnetic field vectors, the energetic properties are derived as real-valued functions of coordinates and time. Then, the inertial properties (that is, electromagnetic mass and momentum) of the TE-waveguide modes are obtained as the functions of time.

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“…Later, the interaction of the cavity fields with plasma is studied within EAE, making use of the motion equation for plasma (Erden, 2017a;Erden, 2017b;Erden, 2018;Erden, 2015;.…”

Section: Implementation Of the Approachmentioning

confidence: 99%

“…The complete set of TE-and TMtime-domain modal waves is established and studied in detail by Tretyakov and Kaya (2012;2013). As a result of dealing with real-valued functions in the time domain, Eroglu, Aksoy, & Tretyakov (2012), Akgun and Tretyakov (2015) and Erden (2017) obtained explicit solutions for the energetic properties of the modal waveforms.…”

Section: Implementation Of the Approachmentioning

confidence: 99%

An Extension of the Last Work of Oleg A. Tretyakov: A Novel Format of the Wave Equation in Si Units

Erden

ÇOŞAN

2022

Journal of Naval Sciences and Engineering

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Professor Oleg A. Tretyakov is recognized in the field of radiophysics as the founder of the Evolutionary Approach to Electromagnetics (EAE). His analytical time domain approach which was acknowledged as an alternative to the method of complex amplitudes successfully applied to cavity and waveguide problems. In his final years, he proposed a novel format of Maxwell’s equations in SI units where electric and magnetic field strength vectors have a common physical dimension of inverse meter. In this article, we pay special tribute to his exceptional career and contributions to science and extend his last work to derive a novel format of the wave equation in SI units.

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Study of the energetic field characteristics of the TE-modalwaves in waveguides

Cited by 11 publications

References 9 publications

A Novel Simple Format of Maxwell’s Equations in SI Units

A Novel Simple Format of Maxwell’s Equations in SI Units

Inertial Properties of the Te Waveguide Fields

An Extension of the Last Work of Oleg A. Tretyakov: A Novel Format of the Wave Equation in Si Units

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