Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal

Ouarda Barkat

doi:doi:10.11648/j.jeee.20150302.11

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Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal

Ouarda Barkat

Published in Journal of Electrical and Electronic Engineering (Volume 3, Issue 2)

Received: 11 February 2015 Accepted: 5 March 2015 Published: 10 March 2015

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Abstract

In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D- PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D- PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out using MATLAB software tool. The accuracy of the analysis is tested by comparing the computed results with measurements published data.

Published in	Journal of Electrical and Electronic Engineering (Volume 3, Issue 2)
DOI	10.11648/j.jeee.20150302.11
Page(s)	12-18
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), 2015. Published by Science Publishing Group

Keywords

Photonic Band Gap, Transfer Matrix Method, Bloch Theorem, Transmission, Dispersion

References

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Ouarda Barkat. (2015). Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. Journal of Electrical and Electronic Engineering, 3(2), 12-18. https://doi.org/10.11648/j.jeee.20150302.11

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ACS Style

Ouarda Barkat. Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. J. Electr. Electron. Eng. 2015, 3(2), 12-18. doi: 10.11648/j.jeee.20150302.11

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AMA Style

Ouarda Barkat. Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. J Electr Electron Eng. 2015;3(2):12-18. doi: 10.11648/j.jeee.20150302.11

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@article{10.11648/j.jeee.20150302.11,
  author = {Ouarda Barkat},
  title = {Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {3},
  number = {2},
  pages = {12-18},
  doi = {10.11648/j.jeee.20150302.11},
  url = {https://doi.org/10.11648/j.jeee.20150302.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20150302.11},
  abstract = {In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D- PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D- PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out using MATLAB software tool. The accuracy of the analysis is tested by comparing the computed results with measurements published data.},
 year = {2015}
}

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TY  - JOUR
T1  - Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal
AU  - Ouarda Barkat
Y1  - 2015/03/10
PY  - 2015
N1  - https://doi.org/10.11648/j.jeee.20150302.11
DO  - 10.11648/j.jeee.20150302.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 12
EP  - 18
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20150302.11
AB  - In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D- PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D- PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out using MATLAB software tool. The accuracy of the analysis is tested by comparing the computed results with measurements published data.
VL  - 3
IS  - 2
ER  -

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Author Information

Ouarda Barkat

Department of Electronics, University of Constantine 1, Constantine, Algeria

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APA Style

Ouarda Barkat. (2015). Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. Journal of Electrical and Electronic Engineering, 3(2), 12-18. https://doi.org/10.11648/j.jeee.20150302.11

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ACS Style

Ouarda Barkat. Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. J. Electr. Electron. Eng. 2015, 3(2), 12-18. doi: 10.11648/j.jeee.20150302.11

Copy | Download

AMA Style

Ouarda Barkat. Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal. J Electr Electron Eng. 2015;3(2):12-18. doi: 10.11648/j.jeee.20150302.11

Copy | Download

@article{10.11648/j.jeee.20150302.11,
  author = {Ouarda Barkat},
  title = {Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {3},
  number = {2},
  pages = {12-18},
  doi = {10.11648/j.jeee.20150302.11},
  url = {https://doi.org/10.11648/j.jeee.20150302.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20150302.11},
  abstract = {In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D- PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D- PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out using MATLAB software tool. The accuracy of the analysis is tested by comparing the computed results with measurements published data.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Theoretical Investigation of Transmission and Dispersion Properties of One Dimensional Photonic Crystal
AU  - Ouarda Barkat
Y1  - 2015/03/10
PY  - 2015
N1  - https://doi.org/10.11648/j.jeee.20150302.11
DO  - 10.11648/j.jeee.20150302.11
T2  - Journal of Electrical and Electronic Engineering
JF  - Journal of Electrical and Electronic Engineering
JO  - Journal of Electrical and Electronic Engineering
SP  - 12
EP  - 18
PB  - Science Publishing Group
SN  - 2329-1605
UR  - https://doi.org/10.11648/j.jeee.20150302.11
AB  - In this work, we demonstrate via numerical simulation the general design for one dimensional photonic crystal (1D- PC). In the design procedure, the transfer matrix method and Bloch theorem are used to determine the transmission coefficient and dispersion relation of (1D- PC) structure for both TE (transverse electric) and TM (transverse magnetic) modes. Results obtained showing the effect of the filling factor as well as the incident angle on the photonic band gap width. The analysis is carried out using MATLAB software tool. The accuracy of the analysis is tested by comparing the computed results with measurements published data.
VL  - 3
IS  - 2
ER  -

Copy | Download