The Sommerfeld’s problem of plane wave diffraction by a perfectly conducting half-plane is considered for the general case of an absorbing medium and an inhomogeneous incident wave, whose the constant phase planes are not parallel to the constant amplitude ones. The exact solution is represented in terms of parameters of incident wave propagation in the coordinate axes, but not in terms of angular variables, as usually. We adduce the original derivation of this solution, which use generalized functions and admits complex values for propagation parameters. Our approach is based on calculation of diffraction integrals by the method of transformations on the real axis without using a complex argument of integration. The results of diffraction field computation for the cases of an absorbing medium and of a decaying incident wave in a transparent medium are presented.
| Published in | American Journal of Electromagnetics and Applications (Volume 1, Issue 1) |
| DOI | 10.11648/j.ajea.20130101.11 |
| Page(s) | 1-7 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Exact Solution, Inhomogeneous Wave, Perfectly Conducting Half-Plane
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APA Style
Vladimir M. Serdyuk, Joseph A. Titovitsky. (2013). Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium. American Journal of Electromagnetics and Applications, 1(1), 1-7. https://doi.org/10.11648/j.ajea.20130101.11
ACS Style
Vladimir M. Serdyuk; Joseph A. Titovitsky. Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium. Am. J. Electromagn. Appl. 2013, 1(1), 1-7. doi: 10.11648/j.ajea.20130101.11
AMA Style
Vladimir M. Serdyuk, Joseph A. Titovitsky. Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium. Am J Electromagn Appl. 2013;1(1):1-7. doi: 10.11648/j.ajea.20130101.11
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Download@article{10.11648/j.ajea.20130101.11,
author = {Vladimir M. Serdyuk and Joseph A. Titovitsky},
title = {Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium},
journal = {American Journal of Electromagnetics and Applications},
volume = {1},
number = {1},
pages = {1-7},
doi = {10.11648/j.ajea.20130101.11},
url = {https://doi.org/10.11648/j.ajea.20130101.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20130101.11},
abstract = {The Sommerfeld’s problem of plane wave diffraction by a perfectly conducting half-plane is considered for the general case of an absorbing medium and an inhomogeneous incident wave, whose the constant phase planes are not parallel to the constant amplitude ones. The exact solution is represented in terms of parameters of incident wave propagation in the coordinate axes, but not in terms of angular variables, as usually. We adduce the original derivation of this solution, which use generalized functions and admits complex values for propagation parameters. Our approach is based on calculation of diffraction integrals by the method of transformations on the real axis without using a complex argument of integration. The results of diffraction field computation for the cases of an absorbing medium and of a decaying incident wave in a transparent medium are presented.},
year = {2013}
}
TY - JOUR T1 - Diffraction of a Plane Inhomogeneous Electromagnetic Wave by a Perfectly Conducting Half-Plane in an Absorbing Medium AU - Vladimir M. Serdyuk AU - Joseph A. Titovitsky Y1 - 2013/07/10 PY - 2013 N1 - https://doi.org/10.11648/j.ajea.20130101.11 DO - 10.11648/j.ajea.20130101.11 T2 - American Journal of Electromagnetics and Applications JF - American Journal of Electromagnetics and Applications JO - American Journal of Electromagnetics and Applications SP - 1 EP - 7 PB - Science Publishing Group SN - 2376-5984 UR - https://doi.org/10.11648/j.ajea.20130101.11 AB - The Sommerfeld’s problem of plane wave diffraction by a perfectly conducting half-plane is considered for the general case of an absorbing medium and an inhomogeneous incident wave, whose the constant phase planes are not parallel to the constant amplitude ones. The exact solution is represented in terms of parameters of incident wave propagation in the coordinate axes, but not in terms of angular variables, as usually. We adduce the original derivation of this solution, which use generalized functions and admits complex values for propagation parameters. Our approach is based on calculation of diffraction integrals by the method of transformations on the real axis without using a complex argument of integration. The results of diffraction field computation for the cases of an absorbing medium and of a decaying incident wave in a transparent medium are presented. VL - 1 IS - 1 ER -
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