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2007-06-07
Dispersion Characteristics of Electromagnetic Waves in Circularly Cored Highly Birefringent Waveguide Having Elliptical Cladding
By
Progress In Electromagnetics Research, Vol. 75, 51-62, 2007
Abstract
In this article a new type of circularly cored highly birefringent (Hi-Bi) waveguide having elliptical cladding is proposed and analyzed for the first time in our knowledge. By choosing appropriate orthogonal co-ordinates and using the boundary conditions of the considered waveguide, the eigen value equation in terms of modified Mathieu functions is derived under the weak guidance condition and is presented in this paper. Using this equation the modal dispersion curves for even and odd guided modes are obtained and plotted for different cladding ellipticity e. It is seen that the proposed (Hi-Bi) fiber supports less guided modes than standard circular fiber. Finally, the modal birefringence in the said fiber is also estimated.
Citation
Alok Shahi, Vivek Singh, and Sant Ojha, "Dispersion Characteristics of Electromagnetic Waves in Circularly Cored Highly Birefringent Waveguide Having Elliptical Cladding," Progress In Electromagnetics Research, Vol. 75, 51-62, 2007.
doi:10.2528/PIER07051601
References

1. Rayleigh, L., Phil. Mag., and Vol. 43, 125, Vol. 43, 1897., 1897.

2. Hondros, D. and P. Debye, "Elecktromagnetische Wellen an Dielecktrischen Drachten," Ann. Physik, Vol. 32, 465-476, 1910.
doi:10.1002/andp.19103370802

3. Schriever, O, O, Vol. 63, Ann. Physik, Vol. 63, 645, 1920.

4. Clarricoats, P. J. B., "Propagation along bounded and unbounded dielectric rods," IEE Monograph, Vol. 40, 1960.

5. Snitzer, E., "Cylindrical dielectric waveguide modes," J. Opt. Soc. Am., Vol. 51, 491-498, 1961.

6. Gloge, D., "Dispersion in weakly guiding fibers," Appl. Opt., Vol. 10, 2442-2445, 1971.

7. Gloge, D., "Propagation effects in optical fibers," IEEE Trans. Microwave Theory Tech., Vol. MTT-23, 106-120, 1975.
doi:10.1109/TMTT.1975.1128511

8. Snyder, A. W. and W. R. Young, "Modes of optical waveguides," J. Opt. Soc. Am., Vol. 68, 297-310, 1978.

9. Ghatak, A. and A. Sharma, "Single mode fiber characteristics," J. INSTN, Vol. 32, 213-216, 1986.

10. Singh, V., S. N. Maurya, B. Prasad, and S. P. Ojha, "Conducting sheath helical winding on core-cladding interface of a lightguide having a Piet-Hein (super elliptical) core cross-section and a standard optical fiber of circular cross-section — A comparative modal analysis," Progress In Electromagnetics Research, Vol. 59, 231-249, 2006.
doi:10.2528/PIER05100101

11. Yablonovitch, E., "Inhibitted spontaneous emission in solid state physics and electronics," Phys. Rev. Lett., Vol. 58, 2059-2062, 1987.
doi:10.1103/PhysRevLett.58.2059

12. Joannoupoulos, J. D., R. D. Meede, and J. N. Winn, Photonic Crystals: Molding the flow of light, Priceton Univ. Press, Priceton, N.J., 1995.

13. Kong, J. A., Electromagnetic Wave Theory, EMW publishing, 2005.

14. Lee, H. S., "Dispersion relation of corrugated circular waveguide," J. of Electromagn. Waves andAppl., Vol. 19, No. 10, 1391-1406, 2005.
doi:10.1163/156939305775525873

15. Tantawi, S. G., "A novel circular TE01-mode bend for ultra highpower applications," J. of Electromagn. Waves andAppl., Vol. 18, No. 12, 1679-1687, 2004.
doi:10.1163/1569393042955144

16. Che, W.-Q. and E. K.-N. Yung, "Investigation of TM01 mode inversion in circular waveguide filled with dielectric layers," J. of Electromagn. Waves andAppl., Vol. 18, No. 5, 615-625, 2004.
doi:10.1163/156939304774114655

17. Wilson, J. and J. F. B. Hawkes, Optoelectronics: An Introduction, 425, Prentice Hall of India, New Delhi, 2000.

18. Singh, V., B. Prasad, and S. P. Ojha, "Weak guidance modal analysis and dispersion curves of an infrared lightguide having a core-cross section with a new type of asymmetric loop boundary," Optical Fiber Technology, Vol. 6, 290-298, 2000.
doi:10.1006/ofte.2000.0329

19. Singh, V., B. Prasad, and S. P. Ojha., "A comparative study of the modal characteristics and waveguide dispersion of optical waveguide with three different closed loop cross sectional boundaries," Optik, Vol. 115, 281-288, 2004.

20. Maurya, S. N., V. Singh, B. Prasad, and S. P. Ojha, "A comparative study of the modal analysis and waveguide dispersion of an optical wave guide having a cross section of the shape of a cardioid," J. of Electromagn. Waves and Appl., Vol. 20, 1021-1035, 2006.
doi:10.1163/156939306776930277

21. Kumar, D. and O. N. Singh, "Modal characteristic equation and dispersion curves for an elliptical step index fiber with a conducting helical winding on the core cladding boundary; an analytical study," IEEE J. Lightwave Technol., Vol. 20, 1416-1424, 2002.
doi:10.1109/JLT.2002.800799

22. Adams, M. J., An Intrroduction to Optical Waveguides, 256-260, Wiley, Chichester, England, 1981.

23. Kumar, A. and A. K. Varshney, "Birefringence calculations in elliptical core optical fibers," Electron. Lett., Vol. 20, 112-113, 1984.
doi:10.1049/el:19840076

24. Wong, W. P. and K. S. Chiang, "Design of optical strip loaded waveguides with zero modal birefringence," J. Lightwave Technol., Vol. 16, 1240-1248, 1998.
doi:10.1109/50.701402

25. Maurya, S. N., V. Singh, B. Prasad, and S. P. Ojha, "An optical waveguide with a hypocycloidal core cross-section having a conducting sheath helical winding on the core cladding boundary — a comparative modal dispersion study vis-a-vis standard fiber with a sheath winding," J. of Electromagn. Waves and Appl., Vol. 19, No. 10, 1307-1326, 2005.
doi:10.1163/156939305775525846

26. Singh, V., Y. Prajapati, and J. P. Saini, "Modal analysis and dispersion curves of a new unconventional Bragg waveguide using a very simple method," Progress In Electromagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER06071101

27. Mei, Z. L. and F. Y. Xu, "A simple, fast and accurate method for calculating cutoff wavelengths for the dominant mode in elliptical waveguide," J. of Electromagn. Waves and Appl., Vol. 21, No. 3, 367-374, 2007.
doi:10.1163/156939307779367440