A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method

Chandra Kamal Borgohain; Chakresh Kumar

doi:doi:10.11648/j.ajea.20140201.11

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A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method

Chandra Kamal Borgohain, Chakresh Kumar

Published in American Journal of Electromagnetics and Applications (Volume 2, Issue 1)

Received: 27 November 2013 Accepted: Published: 28 February 2014

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Abstract

In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.

Published in	American Journal of Electromagnetics and Applications (Volume 2, Issue 1)
DOI	10.11648/j.ajea.20140201.11
Page(s)	1-10
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), 2024. Published by Science Publishing Group

Keywords

Cutoff Number (V), Normalized Propagation Constant (b), Weak Guidance

References

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[2]	Y. Prajapati, Vivek Singh, J.P.Saini, Modal analysis of a super-elliptical Bragg waveguide with a small number of periodic cladding layers based on a very simple analytical technology, Optic 120(2009) 14-19.
[3]	Singh, V., B. Prasad, and S. P. Ojha, Analysis of the modal characteristics of a Bragg fiber with a small number of claddings using a very simple analytical method, Microwave Opt. Techncol Letter, vol. 46, 271–275, 2005.
[4]	Yeh, P. and A. Yariv, Theory of Bragg fiber, J.opt Soc. Am, Vol. 68, 1196–1201, 1978.
[5]	Scalora, M., et al., Optical limiting and switching of ultra short pulses in non-linear photonic band gap materials, Phys. Rev. Lett., Vol. 73, 1368–1371, 1994.
[6]	Chigrin, D. N., et al.,A dielectric Bragg mirror: Can it be an Omni directional reflector?, Optics and Photonics News, Optics, Vol. 10, 33, 1999.
[7]	Yablonovitch, E., Inhibited spontaneous emission in solid state physics and electronics, Phys. Rev. Lett., Vol. 58, 2059–2062, 1987.
[8]	Joannopoulos, J. D., et al., Photonic Crystals: Molding the Flow of Light, Princeton Univ. Press, N.J. 1995.
[9]	Dasgupta,S.,B. P. Pal, and M. R. Shenoy, Bragg Fibers: Guided wave optical components and devices, B. P. Pal (ed.), Elsevier, IIT Delhi, India, 2005.
[10]	Ito, H. T. N., Y. Sabaki, H. Ohtsu, K. I. Lee, and W. Jhe, Phys. Rev. Lett., Vol. 76, 4500, 1995.
[11]	Bassett, I. M. and A. Arggros, Elimination of polarization degeneracy in round waveguides, Optics Express, Vol. 10, 1342– 1346, 2002
[12]	Singh, V., B. Prasad, and S. P. Ojha, A comparative study of the modal characteristics and wave guide dispersion of optical waveguides with three different closed loop cross sectional boundaries, Optik, Vol. 115, 281–288, 2004.
[13]	Singh, V., B. Prasad, and S. P. Ojha, Theoretically obtained dispersion characteristics of an annular waveguide with a guiding region cross section bounded by two hypocycloidal loops Microwave Opt. Techncol Letter, Vol. 37, 142–145, 2003.
[14]	A. Ghatak, K,Thyagarajan, Introduction to fiber optics, Cambridge University press,Cambridge,1998 p.141

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Chandra Kamal Borgohain, Chakresh Kumar. (2014). A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. American Journal of Electromagnetics and Applications, 2(1), 1-10. https://doi.org/10.11648/j.ajea.20140201.11

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ACS Style

Chandra Kamal Borgohain; Chakresh Kumar. A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. Am. J. Electromagn. Appl. 2014, 2(1), 1-10. doi: 10.11648/j.ajea.20140201.11

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AMA Style

Chandra Kamal Borgohain, Chakresh Kumar. A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. Am J Electromagn Appl. 2014;2(1):1-10. doi: 10.11648/j.ajea.20140201.11

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@article{10.11648/j.ajea.20140201.11,
  author = {Chandra Kamal Borgohain and Chakresh Kumar},
  title = {A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {2},
  number = {1},
  pages = {1-10},
  doi = {10.11648/j.ajea.20140201.11},
  url = {https://doi.org/10.11648/j.ajea.20140201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20140201.11},
  abstract = {In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.},
 year = {2014}
}

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TY  - JOUR
T1  - A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method
AU  - Chandra Kamal Borgohain
AU  - Chakresh Kumar
Y1  - 2014/02/28
PY  - 2014
N1  - https://doi.org/10.11648/j.ajea.20140201.11
DO  - 10.11648/j.ajea.20140201.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 1
EP  - 10
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20140201.11
AB  - In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.
VL  - 2
IS  - 1
ER  -

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Author Information

Chandra Kamal Borgohain

Department of Electronics and Communication Engineering, Tezpur (central) University, INDIA
Chakresh Kumar

University School of Information & Communication Technology, Guru Gobind Singh Indraprastha University, Dwarka, New Delhi-110078, India

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APA Style

Chandra Kamal Borgohain, Chakresh Kumar. (2014). A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. American Journal of Electromagnetics and Applications, 2(1), 1-10. https://doi.org/10.11648/j.ajea.20140201.11

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ACS Style

Chandra Kamal Borgohain; Chakresh Kumar. A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. Am. J. Electromagn. Appl. 2014, 2(1), 1-10. doi: 10.11648/j.ajea.20140201.11

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AMA Style

Chandra Kamal Borgohain, Chakresh Kumar. A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method. Am J Electromagn Appl. 2014;2(1):1-10. doi: 10.11648/j.ajea.20140201.11

Copy | Download

@article{10.11648/j.ajea.20140201.11,
  author = {Chandra Kamal Borgohain and Chakresh Kumar},
  title = {A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method},
  journal = {American Journal of Electromagnetics and Applications},
  volume = {2},
  number = {1},
  pages = {1-10},
  doi = {10.11648/j.ajea.20140201.11},
  url = {https://doi.org/10.11648/j.ajea.20140201.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20140201.11},
  abstract = {In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - A Systematic Analysis and Comparison of the Dispersion Curves of Hypocycloidal and Elliptical Bragg Waveguide Using very Simple Analytical Method
AU  - Chandra Kamal Borgohain
AU  - Chakresh Kumar
Y1  - 2014/02/28
PY  - 2014
N1  - https://doi.org/10.11648/j.ajea.20140201.11
DO  - 10.11648/j.ajea.20140201.11
T2  - American Journal of Electromagnetics and Applications
JF  - American Journal of Electromagnetics and Applications
JO  - American Journal of Electromagnetics and Applications
SP  - 1
EP  - 10
PB  - Science Publishing Group
SN  - 2376-5984
UR  - https://doi.org/10.11648/j.ajea.20140201.11
AB  - In this paper we have analyzed the modal dispersion characteristics of two unconventional Bragg waveguides namely hypocycloidal and elliptical Bragg waveguide by the use of very simple matrix method. We are using matrix equation which replaces the boundary condition. We obtained the characteristic equation analytically. In both cases all the outputs are showing in the form of dispersion curves and we are also trying to compare their dispersion characteristics. It is seen that in case of hypocycloidal Bragg waveguide [1] the cut off frequency increases with the decrease of cladding layers .But in case of elliptical Bragg waveguide [2], when the cladding layer decreases from six layered to four layered the cutoff frequency increases and from four layer to two layer the cutoff frequency become decreases.
VL  - 2
IS  - 1
ER  -

Copy | Download