Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials

Hany M. Zamel; Essam El Diwany; Hadia El Hennawy

doi:doi:10.11648/j.ajea.20130103.11

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Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials

Hany M. Zamel, Essam El Diwany, Hadia El Hennawy

Published in American Journal of Electromagnetics and Applications (Volume 1, Issue 3)

Received: 13 October 2013 Published: 30 October 2013

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Abstract

In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. Its function is to deflect the rays that would have struck the object, guide them around the object, and return them to their original trajectory, thus no waves are scattered from the body. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line.Some components of the electrical parameters of the cloaking material(ε,μ) are required to have infinite or zero value at the boundary of the hidden object. Approximate cloaking can be achieved by transforming the cylindrical body (dielectric and conducting) virtually into a small cylinder rather than a line, which eliminates the zero or infinite values of the electrical parameters. The radially-dependent cylindrical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked cylindrical bodies (dielectric and conducting) are investigated using a combination of approximate cloaking, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The solution is obtained by rigorously solving Maxwell equations using angular harmonics expansion. The scattering pattern, and the back scattering cross section against the frequency are studied for both transverse magnetic (TMz) and transverse electric (TEz) polarizations of the incident plane wave for different transformed body radii.

Published in	American Journal of Electromagnetics and Applications (Volume 1, Issue 3)
DOI	10.11648/j.ajea.20130103.11
Page(s)	44-52
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.
Copyright	Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Scattering by Cylindrical Bodies (Dielectric and Conducting), Cloaking by Layered Isotropic Materials, Approximate Cloaking

References

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APA Style

Hany M. Zamel, Essam El Diwany, Hadia El Hennawy. (2013). Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. American Journal of Electromagnetics and Applications, 1(3), 44-52. https://doi.org/10.11648/j.ajea.20130103.11

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ACS Style

Hany M. Zamel; Essam El Diwany; Hadia El Hennawy. Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. Am. J. Electromagn. Appl. 2013, 1(3), 44-52. doi: 10.11648/j.ajea.20130103.11

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AMA Style

Hany M. Zamel, Essam El Diwany, Hadia El Hennawy. Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. Am J Electromagn Appl. 2013;1(3):44-52. doi: 10.11648/j.ajea.20130103.11

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@article{10.11648/j.ajea.20130103.11,
  author = {Hany M. Zamel and Essam El Diwany and Hadia El Hennawy},
  title = {Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {1},
  number = {3},
  pages = {44-52},
  doi = {10.11648/j.ajea.20130103.11},
  url = {https://doi.org/10.11648/j.ajea.20130103.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20130103.11},
  abstract = {In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. Its function is to deflect the rays that would have struck the object, guide them around the object, and return them to their original trajectory, thus no waves are scattered from the body. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line.Some components of the electrical parameters of the cloaking material(ε,μ) are required to have infinite or zero value at the boundary of the hidden object. Approximate cloaking can be achieved by transforming the cylindrical body (dielectric and conducting) virtually into a small cylinder rather than a line, which eliminates the zero or infinite values of the electrical parameters. The radially-dependent cylindrical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked cylindrical bodies (dielectric and conducting) are investigated using a combination of approximate cloaking, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The solution is obtained by rigorously solving Maxwell equations using angular harmonics expansion. The scattering pattern, and the back scattering cross section against the frequency are studied for both transverse magnetic (TMz) and transverse electric (TEz) polarizations of the incident plane wave for different transformed body radii.},
 year = {2013}
}

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TY  - JOUR
T1  - Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials
AU  - Hany M. Zamel
AU  - Essam El Diwany
AU  - Hadia El Hennawy
Y1  - 2013/10/30
PY  - 2013
N1  - https://doi.org/10.11648/j.ajea.20130103.11
DO  - 10.11648/j.ajea.20130103.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 44
EP  - 52
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20130103.11
AB  - In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. Its function is to deflect the rays that would have struck the object, guide them around the object, and return them to their original trajectory, thus no waves are scattered from the body. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line.Some components of the electrical parameters of the cloaking material(ε,μ) are required to have infinite or zero value at the boundary of the hidden object. Approximate cloaking can be achieved by transforming the cylindrical body (dielectric and conducting) virtually into a small cylinder rather than a line, which eliminates the zero or infinite values of the electrical parameters. The radially-dependent cylindrical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked cylindrical bodies (dielectric and conducting) are investigated using a combination of approximate cloaking, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The solution is obtained by rigorously solving Maxwell equations using angular harmonics expansion. The scattering pattern, and the back scattering cross section against the frequency are studied for both transverse magnetic (TMz) and transverse electric (TEz) polarizations of the incident plane wave for different transformed body radii.
VL  - 1
IS  - 3
ER  -

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Author Information

Hany M. Zamel

Electronics Research Institute – Microwave Engineering Dept.,Egypt
Essam El Diwany

Electronics Research Institute – Microwave Engineering Dept.,Egypt
Hadia El Hennawy

Faculty of Engineering – Ain Shams University, Egypt

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APA Style

Hany M. Zamel, Essam El Diwany, Hadia El Hennawy. (2013). Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. American Journal of Electromagnetics and Applications, 1(3), 44-52. https://doi.org/10.11648/j.ajea.20130103.11

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ACS Style

Hany M. Zamel; Essam El Diwany; Hadia El Hennawy. Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. Am. J. Electromagn. Appl. 2013, 1(3), 44-52. doi: 10.11648/j.ajea.20130103.11

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AMA Style

Hany M. Zamel, Essam El Diwany, Hadia El Hennawy. Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials. Am J Electromagn Appl. 2013;1(3):44-52. doi: 10.11648/j.ajea.20130103.11

Copy | Download

@article{10.11648/j.ajea.20130103.11,
  author = {Hany M. Zamel and Essam El Diwany and Hadia El Hennawy},
  title = {Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {1},
  number = {3},
  pages = {44-52},
  doi = {10.11648/j.ajea.20130103.11},
  url = {https://doi.org/10.11648/j.ajea.20130103.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20130103.11},
  abstract = {In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. Its function is to deflect the rays that would have struck the object, guide them around the object, and return them to their original trajectory, thus no waves are scattered from the body. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line.Some components of the electrical parameters of the cloaking material(ε,μ) are required to have infinite or zero value at the boundary of the hidden object. Approximate cloaking can be achieved by transforming the cylindrical body (dielectric and conducting) virtually into a small cylinder rather than a line, which eliminates the zero or infinite values of the electrical parameters. The radially-dependent cylindrical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked cylindrical bodies (dielectric and conducting) are investigated using a combination of approximate cloaking, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The solution is obtained by rigorously solving Maxwell equations using angular harmonics expansion. The scattering pattern, and the back scattering cross section against the frequency are studied for both transverse magnetic (TMz) and transverse electric (TEz) polarizations of the incident plane wave for different transformed body radii.},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - Electromagnetic Scattering by Approximately Cloaked Cylindrical Bodies Using Homogeneous Isotropic Multi-Layered Materials
AU  - Hany M. Zamel
AU  - Essam El Diwany
AU  - Hadia El Hennawy
Y1  - 2013/10/30
PY  - 2013
N1  - https://doi.org/10.11648/j.ajea.20130103.11
DO  - 10.11648/j.ajea.20130103.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 44
EP  - 52
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20130103.11
AB  - In cloaking, a body is hidden from detection by surrounding it by a coating consisting of an unusual anisotropic nonhomogeneous material. Its function is to deflect the rays that would have struck the object, guide them around the object, and return them to their original trajectory, thus no waves are scattered from the body. The permittivity and permeability of such a cloak are determined by the coordinate transformation of compressing a hidden body into a point or a line.Some components of the electrical parameters of the cloaking material(ε,μ) are required to have infinite or zero value at the boundary of the hidden object. Approximate cloaking can be achieved by transforming the cylindrical body (dielectric and conducting) virtually into a small cylinder rather than a line, which eliminates the zero or infinite values of the electrical parameters. The radially-dependent cylindrical cloaking shell can be approximately discretized into many homogeneous anisotropic layers; each anisotropic layer can be replaced by a pair of equivalent isotropic sub-layers, where the effective medium approximation is used to find the parameters of these two equivalent sub-layers. In this work, the scattering properties of cloaked cylindrical bodies (dielectric and conducting) are investigated using a combination of approximate cloaking, together with discretizing the cloaking material using pairs of homogeneous isotropic sub-layers. The solution is obtained by rigorously solving Maxwell equations using angular harmonics expansion. The scattering pattern, and the back scattering cross section against the frequency are studied for both transverse magnetic (TMz) and transverse electric (TEz) polarizations of the incident plane wave for different transformed body radii.
VL  - 1
IS  - 3
ER  -

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