volume | PIER Journals

Abstract

With the use of scalar field approximation we make an analytical study of a dielectric waveguide whose core cross-section is bounded by two spirals of the form 1/r = ξθ. This waveguide is similar to that of a distorted slab waveguide in which both a curvature and a flare are present. We derived the modal characteristic equation by analytical analysis under the weak guidance approximation. We find the modal dispersion curve, which support only single mode propagation and the same compared with the same kind of waveguide with metal claddings.

1. Broland, W. C., D. E. Zelmon, C. J. Radens, J. T. Boyd, and H. E. Jackson, "Propagation of the four layer planer optical waveguide near cutoff," IEEE J. Quantum Electron, Vol. 23, 1172-1197, 1978.
doi:10.1109/JQE.1987.1073487

2. Marcatilli, E. A. J., "Dielectric rectangular waveguide and directional coupler for integrated optics," J. Bell Syst.Tech., Vol. 48, 2071-2102, 1969.

3. Goell, J. E., "A circular harmonic computer analysis of rectangular dielectric waveguide," Bell Syst. Tech. J., Vol. 48, 2133-2160, 1969.

4. Kumar, A., V. Thyargaranjan, and A. K. Ghatak, "Analysis of rectangular core dielectric waveguide: An accurate perturbation approach," Opt. Lett., Vol. 8, 63-65, 1983.

5. Yeh, C., "Elliptical dielectric waveguide," J. Appl. Phys., Vol. 33, 3235-3242, 1962.
doi:10.1063/1.1931144

6. Dyott, R. B., "Cutoff of the first order mode in elliptical dielectric wave guide: Anexperimental approach," Electron Lett., Vol. 26, 1721-1723, 1990.
doi:10.1049/el:19901099

7. Dyott, R. B., "Glass-fiber waveguide with triangular core," Electron Lett., Vol. 9, 288-290, 1973.
doi:10.1049/el:19730209

8. James, J. R. and I. N. L. Gallett, "Modal analysis of triangular cored fiber waveguide," Proc. IEEE, Vol. 120, 1362-1370, 1973.

9. Rao, M. P. S., B. Prasad, P. Khastgir, and S. P. Ojha, "Modal cutoff condition for an optical waveguide with a hypocycloidal cross section microwave," Opt. Techonal. Lett., Vol. 14, 177-180, 1997.

10. Mishra, V. N., V. Singh, B. Prasad, and S. P. Ojha, "Analytical investigation of the dispersion characteristic of a light guide with an annular core cross section bounded by two cardioids," Microwave Opt. Technol. Lett., Vol. 23, 221-224, 1999.
doi:10.1002/(SICI)1098-2760(19991120)23:4<221::AID-MOP9>3.0.CO;2-G

11. Singh, V., B. Prasad, and S. P. Ojha, "Weak guidance modal analysis and dispersion curve of an infrared guide 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

12. Panday, P. C., B. K. Panday, and S. P. Ojha, "Modal dispersion characteristics of a single mode metal coated optical waveguide with a guiding region cross-section bounded by two involuted spiral," Optik, Vol. 5, 211-214, 2000.

13. Singh, V., B. Prasad, and S. P. Ojha, "Theoretical analysis and dispersion curves of an annular light guide with a cross-section bounded by two piet-hein curves," J. Electromagnetic Waves and Appl., Vol. 17, 1025-1036, 2003.
doi:10.1163/156939303322519090

14. Polky, J. N. and G. L. Mitchell, "Metal-clad planar dielectric waveguide for integrated optics," J. Opt. Soc. Am., Vol. 64, 274-279, 1974.

15. Pandey, P. C., S. P. Ojha, and B. B. Srivastava, "A comparative study of the modal dispersion curves of fibers with different degrees of metal-loading on the core-cladding interfaces," Microwave and Optical Technology Letters, Vol. 26, 54-57, 2000.
doi:10.1002/(SICI)1098-2760(20000705)26:1<54::AID-MOP17>3.0.CO;2-W

16. Ganguly, S., K. S. Singh, P. C. Pandey, and S. P. Ojha, "Modal cutoff conditions for a waveguide having an annular guiding region with a parabolically gradded refractive index profile," Microwave and Optical Technology Letters, Vol. 22, 167-171, 1999.
doi:10.1002/(SICI)1098-2760(19990805)22:3<167::AID-MOP6>3.0.CO;2-9

17. Ganguly, S., K. S. Singh, P. C. Pandey, and S. P. Ojha, "Cutoff conditions of an annular dielectric waveguide with an exponentially decaying refractive index profile in the guiding region," Microwave and Optical Technology Letters, Vol. 22, 226-229, 1999.
doi:10.1002/(SICI)1098-2760(19990820)22:4<226::AID-MOP2>3.0.CO;2-L

18. Maurya, S. N., V. Singh, B. Prassad, and S. P. Ojha, "Modal analysis and waveguide dispersion of an optical waveguide having a cross section of the shape of Cardiod," Journal of Electromagnetic Wave and Application, Vol. 20, 1021-1035, 2006.
doi:10.1163/156939306776930277

19. 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 Electrmagnetics Research, Vol. 64, 191-204, 2006.
doi:10.2528/PIER06071101

20. Pandey, P. C., D. Singh, and S. P. Ojha, "Effect of metal loading on the modal dispersion characteristics an annular waveguide with guiding region section bounded by a square and a circle," Journal of Electromagnetic Wave and Application, Vol. 18, No. 9, 1157-1171, 2004.
doi:10.1163/1569393042955298

21. Singh, K. S., P. C. Pandey, and S. P. Ojha, "Modal characteristics of a Gyroelectromagnatic Chirofiber having a dielectric cladding — An analytical study," Optik, Vol. 111, 211-214, 2000.

22. Srivastava, S. K., P. C. Pandey, U. N. Singh, and S. P. Ojha, "Modal propagation characteristics and the effect of pitch angle on the propagation modes of an annular circular waveguide having conducting helical windings on the inner and outer boundaries," Microwave and Optical Technology Letters, Vol. 33, 338-344, 2002.
doi:10.1002/mop.10315

23. Varadan, V. K., A. Lakhtakia, and V. V. Varadan, "Propagation in a parallel-plate waveguide wholly filled with a chiral medium," J. Wave-Mater. Interaction, Vol. 3, 1988.

24. Yin, W. Y., P. Liand, and W. B. Wang, "Guided electromagnetic waves in a parallel-plate gyroelectromagnetic biaxial chirowaveguide," J. Mod. Opt., Vol. 41, 1994.

25. Choudhury, P. K. and T. Yoshino, "TE and TM modes power transmission through liquid crystal optical fibers," Optik, Vol. 115, No. 2, 49-56, 2004.

26. Reyes, J. A. and R. F. Rodriguer, "Guiding of optical fields in a liquid crystal cylindrical fibers," Optics Communications, Vol. 134, 349-361, 1997.
doi:10.1016/S0030-4018(96)00515-9

27. Kumar, D. and O. N. Singh, "Elliptical and circular step index fibers with conducting helical winding on the core cladding boundaries for different winding pitch angles — A comparative modal dispersion analysis," Progress In Electrmagnetics Research, Vol. 52, 1-21, 2005.
doi:10.2528/PIER04052002

28. Maurya, S. N., V. Singh, B. Prasad, and S. P. Ojha, "An optical waveguide with a hypocycloidal core cross section having a conducting sheath helix winding on the core cladding boundary a comparative modal dispersion study vis-a-vis a standard fiber with a sheath winding," Journal of Electromagnetic Wave and Application, Vol. 19, 1307-1326, 2005.
doi:10.1163/156939305775525846

Dr. Praveen Pandey

Ms. Akta Mishra

Prof. Sant Ojha