PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 80 > pp. 409-420

TOWARDS THE DISPERSION RELATIONS FOR DIELECTRIC OPTICAL FIBERS WITH HELICAL WINDINGS UNDER SLOW- AND FAST-WAVE CONSIDERATIONS - A COMPARATIVE ANALYSIS

By D. Kumar, P. K. Choudhury, and O. N. Singh II

Full Article PDF (151 KB)

Abstract:
The paper presents the electromagnetic (EM) wave propagation in cylindrical optical fibers with helical windings under slow- and fast-wave considerations. Field components are deduced for both the cases, and also, the dispersion relations are obtained by applying the boundary conditions, as modified by the presence of conducting helical windings. Two special cases are considered corresponding to the values of the helical pitch angle as 0 and 90. A comparison of the dispersion relations is presented.

Citation:
D. Kumar, P. K. Choudhury, and O. N. Singh II, "Towards the dispersion relations for dielectric optical fibers with helical windings under slow- and fast-wave considerations - a comparative analysis," Progress In Electromagnetics Research, Vol. 80, 409-420, 2008.
doi:10.2528/PIER07120302
http://www.jpier.org/PIER/pier.php?paper=07120302

References:
1. Snyder, A. W. and J. D. Love, Optical Waveguide Theory, 311-315, 248- 255, 311-315, Chapman and Hall, London, 1983.

2. Cherin, A. H., An Introduction to Optical Fibers, 45-98, 45-98, McGraw- Hill, New York, 1987.

3. Dyott, R. B., "Cutoff of the first order modes in elliptical dielectric waveguide: An experimental approach," Electron. Lett., Vol. 26, 1721-1723, 1990.
doi:10.1049/el:19901099

4. Choudhury, P. K., P. Khastgir, S. P. Ojha, and L. K. Singh, "Analysis of the guidance of electromagnetic waves by a deformed planar waveguide with parabolic cylindrical boundaries," J. Appl. Phys., Vol. 71, 5685-5688, 1992.
doi:10.1063/1.350502

5. Choudhury, P. K., P. Khastgir, S. P. Ojha, and K. S. Ramesh, "An exact analytical treatment of parabolically deformed planar waveguides near cutoff," Optik, Vol. 95, 147-151, 1994.

6. Choudhury, P. K., "On the modal behaviour of rectangular and deformed planar waveguides," Microw. and Opt. Tech. Lett., Vol. 10, 333-335, 1995.
doi:10.1002/mop.4650100609

7. Choudhury, P. K., "On the preliminary study of a dielectric guide having a Piet Hein geometry," Ind. J. Phys., Vol. 71B, 191-196, 1997.

8. Choudhury, P. K. and O. N. Singh, "Some multilayered and other unconventional lightguides," Electromagnetic Fields in Unconventional Structures and Materials, 289-357, 2000.

9. Choudhury, P. K. and A. Nair, "On the analysis of field patterns in chirofibers," Journal of Electromagnetic Waves and Applications, Vol. 21, 2277-2286, 2007.
doi:10.1163/156939307783134470

10. Pierce, J. R., Traveling Wave Tubes, Vol. 10. Pierce, 229-230, 229-230, D. Van Nostrand Co., NJ, 1950.

11. Singh, U. N., O. N. Singh II, P. Khastgir, and K. K. Dey, "Dispersion characteristics of a helically cladded step-index optical fiber: An analytical study," J. Opt. Soc. Am. B, Vol. 12, 1273-1278, 1995.

12. Kumar, D. and O. N. Singh II, "Some special cases of propagation characteristics of an elliptical step-index fiber with a conducting helical winding on the core-cladding boundary — An analytical treatment," Optik, Vol. 112, 561-566, 2001.

13. Kumar, D. and O. N. Singh II, "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," J. Light. Tech., Vol. 20, 1416-1424, 2002.
doi:10.1109/JLT.2002.800799

14. Kumar, D. and O. N. Singh II, "An analytical study of the modal characteristics of annular step-index waveguide with elliptical cross section with two conducting helical windings on the two boundary surfaces between the guiding and the non-guiding regions," Optik, Vol. 113, 193-196, 2002.

15. Kumar, D., "A preliminary ground work for the study of the characteristic dispersion equation for a slightly elliptical sheath helix slow wave structure," Journal of Electromagnetic Waves and Applications, Vol. 18, 1033-1044, 2004.
doi:10.1163/1569393042955441

16. Kumar, D., P. K. Choudhury, and F. A. Rahman, "Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding," Progress In Electromagnetics Research, Vol. 71, 251-275, 2007.
doi:10.2528/PIER07030504

17. Verma, K. K. and D. Kumar, The Elements of Vector Calculus, AITBS Publisher, New Delhi, India, 2005.

18. Lim, M. H., S. C. Yeow, P. K. Choudhury, and D. Kumar, "On the dispersion characteristics of tapered core dielectric optical fibers," J. Electromag. Waves and Appl., Vol. 20, 1597-1609, 2006.
doi:10.1163/156939306779292417

19. Panin, S., P. D. Smith, and A. Y. Poyedinchuk, "Elliptical to linear polarization trans-formation by a grating on a chiral medium," J. Electromag. Waves and Appl., Vol. 211885-1889, 211885-1889, 2007.

20. Dong, H. and P. Shum, "Single-end measurement of polarization mode dispersion in optical fibers with polarization-dependent loss," PIERS Online, Vol. 3, No. 6, 842-846, 2007.
doi:10.2529/PIERS061005224120

21. Mei, C., M. Hasamovic, J. K. Lee, and E. Arvas, "Electromagnetic scattering from an arbitrarily shaped three dimensional bianisotropic body," PIERS Online, Vol. 3, No. 5, 680-684, 2007.
doi:10.2529/PIERS061005231254

22. Lien, H.-C., Y.-C. Lee, and H.-C. Tsai, "Couple-fed circular polarization bow tie microstrip antenna," PIERS Online, Vol. 3, No. 2, 220-224, 2007.
doi:10.2529/PIERS060907020448

23. MingtsuHo, "Simulation of electromagnetic pulse propagation through dielectric slabs with finite conductivity using characteristic based method," PIERS Online, Vol. 2, No. 6, 609-613, 2006.
doi:10.2529/PIERS060825013017

24. Boix, R. R., F. L. Mesa, and F. Medina, "Closed form expressions for laye-red media greens functions that are reliable both in the near field and in the far field," PIERS Online, Vol. 2, No. 6, 573-575, 2006.
doi:10.2529/PIERS060807124124

25. Huang, X. L., L. Xia, and H. Y. Chen, "Waveguide analysis using multiresolution time domain method," PIERS Online, Vol. 2, No. 6, 559-561, 2006.
doi:10.2529/PIERS060719113106

26. Nickel, J., V. S. Serov, and H. W. Schurma, "Some elliptic traveling wave solutions to the Novikov-veselov equation," PIERS Online, Vol. 2, No. 5, 519-523, 2006.

27. Godin, Y. A. and S. Molchanov, "On the intermittency of the light propagation in disordered optical materials," PIERS Online, Vol. 2, No. 1, 53-56, 2006.
doi:10.2529/PIERS050906175713

28. Suzuki, T., K. Sugimoto, Y. Yamagami, T. Negishi, and Y. Watanabe, "Local dielectric measurement by waveguide type microscopic aperture probe," PIERS Online, Vol. 2, No. 1, 13-14, 2006.
doi:10.2529/PIERS050907144847

29. Barabanenko, Y. N. and M. Yu. Barabanenkov, "Energy invariants of composition rules for scattering and transfer matrices of propagation and evanescent electromagnetic waves in dielectric structures," PIERS Online, Vol. 2, No. 1, 10-12, 2006.
doi:10.2529/PIERS050906125824


© Copyright 2014 EMW Publishing. All Rights Reserved