Abstract
In this paper, the dispersion characteristic of elliptical waveguide consisting of uniaxial anisotropic chiral medium is investigated. The eigenvalue equation for the waveguide that is to be studied is deduced by solving the Mathieu and modified Mathieu functions. The cutoff frequencies for several lower order even modes have been calculated and their dispersion characteristics are correspondingly plotted. The effects of elliptical eccentricity and chirality on the mode cutoff frequencies and mode transmission are examined numerically.
Acknowledgment
This work was partially supported by the Department of Science and Technology (DST), New Delhi, India, under the fast track young scientist scheme no. SB/FTP/ETA -0478/2012.
Conflicts of Interest: The authors declare that there is no conflict of interests regarding the publication of this manuscript.
References
1. Agrawal GP. Fiber-optic communications systems, 3rd ed. Hoboken, New Jersey: John Wiley & Sons, Inc., 2002.10.1002/0471221147Search in Google Scholar
2. Lohia P, Prajapati Y, Saini JP, Rai BS. Enhancement of single mode operation in coaxial optical waveguide using DB boundary conditions. Infrared Phys Technol 2014;67:462–6.10.1016/j.infrared.2014.09.005Search in Google Scholar
3. Joannopoulous JD, Johnson SG, Winn JN, Meade RD. Photonic crystals modelling the flow of light, 2nd ed. New Jersey: Princeton University Press, 2008.Search in Google Scholar
4. Sharma D, Verma A, Prajapati Y, Singh V, Saini JP. Forward and backward wave propagation in multilayer planar waveguide using metamaterials layer. J Opt Quantum Electron 2013;45:105–14.10.1007/s11082-012-9607-7Search in Google Scholar
5. Prajapati Y, Saini JP, Chauhan DS, Singh V. Effect of plasma on modal dispersion characteristic of elliptical Bragg waveguide. Optoelectron Rev 2014;22:16–23.10.2478/s11772-014-0173-3Search in Google Scholar
6. Srivastava VK, Prajapati YK, Singh V, Saini JP. Enhancement of effective area of Bragg waveguide using plasma for communication systems. Microwave Opt Technol Lett. 2015;57:2491–6.10.1002/mop.29364Search in Google Scholar
7. Makouei S, Savadi-Oskouei M, Rostami A, Koozekanani ZD. Dispersion flattened optical fiber design for large bandwidth and high-speed optical communications using optimization technique. Prog Electromagn Res B 2009;13:21–40.10.2528/PIERB08110202Search in Google Scholar
8. Zhang X, Wang X. The study of chromatic dispersion and chromatic dispersion slope of WI- and WII-type triple-clad single-mode fibers. Opt Laser Technol 2005;37:167–72.10.1016/j.optlastec.2004.03.006Search in Google Scholar
9. Ghasemi M, Choudhury PK. A revisit to the propagation through conducting helix loaded dielectric elliptic optical waveguides. Microwave Opt Technol 2014;9:119–23.Search in Google Scholar
10. Dyott RB. Elliptical fiber waveguides. Norwood, MA: Artech House, 1995.Search in Google Scholar
11. Lindell IV, Sihvola AH, Tretyakov SA, Viitanen AJ. Electromagnetic waves in chiral and bi-isotropic media. Boston, MA: Artech House Publishers, 1994.Search in Google Scholar
12. Bassiri S, Papas CH, Engheta N. Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab. J Opt Soc Am A 1988;5:1450–9.10.1364/JOSAA.5.001450Search in Google Scholar
13. Dong JF. Exotic characteristics of power propagation in the chiral nihility fiber. Prog Electromagn Res 2009;99:163–78.10.2528/PIER09102801Search in Google Scholar
14. Tretyakov S, Nefedov I, Sihvola A, Maslovski S, Simovski C. Waves and energy in chiral nihility. J Electromagn Waves Appl 2003;17:695–706.10.1163/156939303322226356Search in Google Scholar
15. Tretyakov S, Sihvola A, Jylhä L. Backward-wave regime and negative refraction in chiral composites. Photon Nanostruct Fundam Appl 2005;3:107–15.10.1016/j.photonics.2005.09.008Search in Google Scholar
16. Dong JF. Guided and surface modes in chiral nihility fiber. Opt Commun 2010;283:532–6.10.1016/j.optcom.2009.10.086Search in Google Scholar
17. Dong JF, Li J, Yang F-Q. Guided modes in the four layer slab waveguide containing chiral nihility core. Prog Electromagn Res 2011;112:241–55.10.2528/PIER10121608Search in Google Scholar
18. Bilal M, Syed AA, Naqvi QA. Quasi-static analysis of scattering from a chiral sphere in chiral medium. J Electromagn Wave 2014;28:2169–87.10.1080/09205071.2014.958617Search in Google Scholar
19. Hameed A, Omar M, Syed AA, Naqvi QA. Power tunneling and rejection from fractal chiral–chiral interface. J Electromagn Wave 2014;28:1766–76.10.1080/09205071.2014.938448Search in Google Scholar
20. Cheng Q, Cui TJ. Negative refraction in uniaxially anisotropic chiral media. Phys Rev B 2006;73:113104.1–113104.4.10.1103/PhysRevB.73.113104Search in Google Scholar
21. Viitanen AJ, Lindell IV. Plane wave propagation in a uniaxial bianisotropic medium with an application to a polarization transformer. Int J Infrared Millimeter Waves 1993;14:1993–2010.10.1007/BF02096368Search in Google Scholar
22. Ghaffar A, Alkanhal MA. Electromagnetic reflection and transmission from a planar isotropic chiral-uniaxial chiral interface with optical axis normal to interface. Int J Appl Electromagn 2015;47:805–17.10.3233/JAE-130161Search in Google Scholar
23. Yeh C, Shimabukuro F. The essence of dielectric waveguides, chapter 6. New York, NY: Springer, 2008.10.1007/978-0-387-49799-0Search in Google Scholar
24. Lindell IV, Sihvola A, Tretyakov S, Viitanen A. Electromagnetic waves in chiral and bi-isotropic media. Boston, MA: Artech House, 1994.Search in Google Scholar
25. Vega JC. Theory and numerical analysis of the Mathieu functions. Monterrey, NL, México: Photonics and Mathematical Optics Group, 2003.Search in Google Scholar
26. Wong WP, Chiang KS. Design of optical strip loaded waveguides with zero modal birefringence. J Lightwave Technol 1998;16:1240–8.10.1109/50.701402Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Reviews
- A Review on Free Space Optics with Atmospheric and Geometrical Attenuation
- Devices
- Effect of Chirality on Dispersion Characteristics of Uniaxial Anisotropic Chiral Elliptical Waveguide
- Design and Analysis of the LIFG Filters for Coupling Efficiency Near 100 % Range for a Desired Bandwidth
- Networks
- A Novel Dynamic Physical Layer Impairment-Aware Routing and Wavelength Assignment (PLI-RWA) Algorithm for Mixed Line Rate (MLR) Wavelength Division Multiplexed (WDM) Optical Networks
- Performance Evaluation of Passive Optical Network Using Different Modulation Formats
- Systems
- Design and Performance Analysis of 2D OCDMA System with Polarization States
- Performance Analysis of Coherent Optical Communication System for M-QAM Higher Modulation Level
- 6 × 20 Gbps Hybrid WDM–PI Inter-satellite System under the Influence of Transmitting Pointing Errors
- Raman Amplification in WDM Optical Communication Systems: A System Perceptive
- Performance Evaluation of OWC Using Different Modulation Techniques
- Efficient Routing of Star–Ring Hybrid Topology with Optical Add and Drop Multiplexer in DWDM System
- Performance Analysis of DWDM System for Different Modulation Schemes Using Variations in Channel Spacing
Articles in the same Issue
- Frontmatter
- Reviews
- A Review on Free Space Optics with Atmospheric and Geometrical Attenuation
- Devices
- Effect of Chirality on Dispersion Characteristics of Uniaxial Anisotropic Chiral Elliptical Waveguide
- Design and Analysis of the LIFG Filters for Coupling Efficiency Near 100 % Range for a Desired Bandwidth
- Networks
- A Novel Dynamic Physical Layer Impairment-Aware Routing and Wavelength Assignment (PLI-RWA) Algorithm for Mixed Line Rate (MLR) Wavelength Division Multiplexed (WDM) Optical Networks
- Performance Evaluation of Passive Optical Network Using Different Modulation Formats
- Systems
- Design and Performance Analysis of 2D OCDMA System with Polarization States
- Performance Analysis of Coherent Optical Communication System for M-QAM Higher Modulation Level
- 6 × 20 Gbps Hybrid WDM–PI Inter-satellite System under the Influence of Transmitting Pointing Errors
- Raman Amplification in WDM Optical Communication Systems: A System Perceptive
- Performance Evaluation of OWC Using Different Modulation Techniques
- Efficient Routing of Star–Ring Hybrid Topology with Optical Add and Drop Multiplexer in DWDM System
- Performance Analysis of DWDM System for Different Modulation Schemes Using Variations in Channel Spacing