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Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos

Received: 15 March 2017     Accepted: 3 May 2017     Published: 13 July 2017
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Abstract

In this work, we study the attenuation characteristics of electromagnetic waves propagating through selected roofing sheets with lossy dielectric constant property. Wave equation relating the electromagnetic wave propagating through the materials was derived from Maxwell’s equations considering all the parameters enshrined in the propagation constant such as the permeability, permittivity and dielectric constant of the Material. The wave equation was solved using method of separation of variable in 1-D and 2-D. An expression for Fresnel formula that was used in analysis of the relative amplitude for both reflection and transmission coefficients for parallel and perpendicular modes of polarization behaviour of the propagated waves was derive by considering small change in the refractive index of the materials. From the results of analysis, it was observed that the relative amplitudes which represent attenuation characteristics of the propagated wave in the materials for different incident and transmitted angles varied according to polarization modes and materials.

Published in American Journal of Electromagnetics and Applications (Volume 5, Issue 1)
DOI 10.11648/j.ajea.20170501.12
Page(s) 7-13
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), 2017. Published by Science Publishing Group

Keywords

Maxwell Equation, Electromagnetic Wave, Attenuation, Polarization, Propagation, Transmission, Dielectric Constant, Relative Amplitude, Analysis

References
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[3] Fleck, J. A., Morris, J. R., & Feit M. D. (1976) Time-Dependent Propagation of high energy laser beam through the Atmosphere, Appl. Phy., 10, 129- 160.
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[5] Ong, H. L., (1993) 2x2 Propagation matrix for electromagnetic waves propagating obliquely in layered inhomogeneous uni- axial media J. Opt. Soc. America 10 (2) 203-393.
[6] Van-Roey, J., Donk, V., & Lagasse J P. E. (1991) Beam Propagation; Analysis and Assessment, J. Opt. Soc Am., 71 803-810.
[7] Yevick, D., & Glasner, M, (1990), Forward Wide Candle Light Propagation in Semiconductor Rib Wave guide, Opt Lett., 15, 174- 176.
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[9] Wait, J. R., (1970) Electromagnetic Wave in Stratified Media Second Edition Pergamon Press.
[10] Ginzbury, V. I., (1967), Propagation of Electromagnetic waves in Plasma Oxford Press.
[11] Matsunga M., Matsunga, T & Sueyshi, T. (2009) An analysis of the effect of wall shape on electromagnetic waves propagating around buildings, Proceeding of the 39th Microwaves Conference, pp 990-993.
[12] Matsunga, T., Uchida, K., and Kim, K. (1996) Electromagnetic Wave propagating in 2-D Tunnels with fundamental junction IEICE Transaction on Communication, Japanese Edition, 79 (7) 399-406.
[13] Ugwu, E. I., (2005) Effect of the Electric Conductivity of Thin film on Electromagnetic Wave Propagation, JICCOTECH Maiden Ed., 121-127.
[14] Valanju, P. M. R., Walser, M., and Valanju, P. A. (2002) Wave Reflection in Negative Index Media Always Positive and very Inhomogeneous Phys, Rev. Lett., 90.187401.
[15] Pentry, J. B., and Smith, D. R. (2003) Comment on Wave Refraction in Negative Index Media always positive and very inhomogeneous Phys. Lett., 229703.
[16] Cox, P. A (1978), Electronic Structure and Chemitry of Solid, Oxford Press.
[17] Ugwu, E. I., Eke, V. O. C., and Onyekachi, O. (2012) Electromagnetic Wave propagation in Spatially Inhomogeneous mThin film medium, Academy Publish, 197-209).
[18] Alshits, V. I, Lyubimov, V. N., and Radowicz, A. (2011) Electromagnetic Waves in Crystals metallized Boundaries, Wave propagation. Intech Publisher, Chapter 3.
[19] Sankur., H. and Sothwell, W. H. (1984) Appl. Opt., 33. 2720.
[20] Menon, S., Sa, Q., and Grobe, I. (1981) Phy. Rev., E (67) 46619 (17) Ugwu, E. I., (2011) Wave Propagation in Dielectric Medium, Thin Film Medium, Wave Propagation, Intech. Publisher, Chapter 7.
[21] Matsunga, M. and Matsunga, T. (2011), Electromagnetic Waves Propagating Around Buildings, Wave Propagation, Intech Publisher, 553-570.
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  • APA Style

    Emmnauel I. Ugwu, Stephen D. Songden, Y. Y. Jabil. (2017). Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos. American Journal of Electromagnetics and Applications, 5(1), 7-13. https://doi.org/10.11648/j.ajea.20170501.12

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    ACS Style

    Emmnauel I. Ugwu; Stephen D. Songden; Y. Y. Jabil. Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos. Am. J. Electromagn. Appl. 2017, 5(1), 7-13. doi: 10.11648/j.ajea.20170501.12

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    AMA Style

    Emmnauel I. Ugwu, Stephen D. Songden, Y. Y. Jabil. Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos. Am J Electromagn Appl. 2017;5(1):7-13. doi: 10.11648/j.ajea.20170501.12

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  • @article{10.11648/j.ajea.20170501.12,
      author = {Emmnauel I. Ugwu and Stephen D. Songden and Y. Y. Jabil},
      title = {Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos},
      journal = {American Journal of Electromagnetics and Applications},
      volume = {5},
      number = {1},
      pages = {7-13},
      doi = {10.11648/j.ajea.20170501.12},
      url = {https://doi.org/10.11648/j.ajea.20170501.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20170501.12},
      abstract = {In this work, we study the attenuation characteristics of electromagnetic waves propagating through selected roofing sheets with lossy dielectric constant property. Wave equation relating the electromagnetic wave propagating through the materials was derived from Maxwell’s equations considering all the parameters enshrined in the propagation constant such as the permeability, permittivity and dielectric constant of the Material. The wave equation was solved using method of separation of variable in 1-D and 2-D. An expression for Fresnel formula that was used in analysis of the relative amplitude for both reflection and transmission coefficients for parallel and perpendicular modes of polarization behaviour of the propagated waves was derive by considering small change in the refractive index of the materials. From the results of analysis, it was observed that the relative amplitudes which represent attenuation characteristics of the propagated wave in the materials for different incident and transmitted angles varied according to polarization modes and materials.},
     year = {2017}
    }
    

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    T1  - Attenuation of Electromagnetic Wave Propagating Through Roofing Sheet: Aluminum, Zinc and Asbestos
    AU  - Emmnauel I. Ugwu
    AU  - Stephen D. Songden
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    DO  - 10.11648/j.ajea.20170501.12
    T2  - American Journal of Electromagnetics and Applications
    JF  - American Journal of Electromagnetics and Applications
    JO  - American Journal of Electromagnetics and Applications
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    PB  - Science Publishing Group
    SN  - 2376-5984
    UR  - https://doi.org/10.11648/j.ajea.20170501.12
    AB  - In this work, we study the attenuation characteristics of electromagnetic waves propagating through selected roofing sheets with lossy dielectric constant property. Wave equation relating the electromagnetic wave propagating through the materials was derived from Maxwell’s equations considering all the parameters enshrined in the propagation constant such as the permeability, permittivity and dielectric constant of the Material. The wave equation was solved using method of separation of variable in 1-D and 2-D. An expression for Fresnel formula that was used in analysis of the relative amplitude for both reflection and transmission coefficients for parallel and perpendicular modes of polarization behaviour of the propagated waves was derive by considering small change in the refractive index of the materials. From the results of analysis, it was observed that the relative amplitudes which represent attenuation characteristics of the propagated wave in the materials for different incident and transmitted angles varied according to polarization modes and materials.
    VL  - 5
    IS  - 1
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Author Information
  • Department of Industrial Physics, Ebonyi State University, Abakaliki, Nigeria

  • Department of Physics, University of Jos, Jos, Nigeria

  • Department of Physics, University of Jos, Jos, Nigeria

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