<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Generally, the longitudinal magnetic field of the transverse electric (TE) wave inside a waveguide is obtained by solving the corresponding Helmholtz wave equation, which further leads to the derivation of the remaining fields. In this paper, we provide an alternative way to obtain this longitudinal magnetic field by making use of one of the Maxwell’s equations instead of directly relying on the Helmholtz wave equation. The longitudinal electric field of the transverse magnetic (TM) wave inside a waveguide can also be derived in a similar fashion. These derivations, which are different from those found in the introductory textbooks on microwave engineering, make the study of waveguides more interesting.</p>
</abstract>

Generally, the longitudinal magnetic field of the transverse electric (TE) wave inside a waveguide is obtained by solving the corresponding Helmholtz wave equation, which further leads to the derivation of the remaining fields. In this paper, we provide an alternative way to obtain this longitudinal magnetic field by making use of one of the Maxwell’s equations instead of directly relying on the Helmholtz wave equation. The longitudinal electric field of the transverse magnetic (TM) wave inside a waveguide can also be derived in a similar fashion. These derivations, which are different from those found in the introductory textbooks on microwave engineering, make the study of waveguides more interesting.

Alternative derivations for the fields inside a waveguide

Department of Electronics & Communication Engineering

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Alternative derivations for the fields inside a waveguide"}

Generally, the longitudinal magnetic field of the transverse electric (TE) wave inside a waveguide is obtained by solving the corresponding Helmholtz wave...

Alternative derivations for the fields inside a waveguide

Published Online: May 12, 2021

Page range: 129 - 131

Received: Mar 05, 2021

DOI: https://doi.org/10.2478/jee-2021-0018

Keywords
Maxwell’s equations, Helmholtz wave equation, waveguides, TE wave, TM wave

© 2021 Raghavendra G. Kulkarni, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Alternative derivations for the fields inside a waveguide

Published Online: May 12, 2021

Page range: 129 - 131

Received: Mar 05, 2021

DOI: https://doi.org/10.2478/jee-2021-0018

KeywordsMaxwell’s equations, Helmholtz wave equation, waveguides, TE wave, TM wave

© 2021 Raghavendra G. Kulkarni, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Maxwell’s equations, Helmholtz wave equation, waveguides, TE wave, TM wave