Ms. Shamini Pillay Profile

Shamini Pillay

at Multimedia University

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Proceedings Article | 11 November 2016 Paper

Comparative study of boundary conditions with helix

Shamini Pillay, Deepak Kumar, Y. N. Phua

Proceedings Volume 10150, 1015006 (2016) https://doi.org/10.1117/12.2243425

KEYWORDS: Waveguides, Dispersion, Bessel functions, Cladding, Mathematics, Wave propagation, Optical fibers, Magnetism, Step index fibers, Oscillators

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This paper presents a comparative study of dispersion characteristics of the circular waveguide with helical windings. Our waveguide is doubly unconventional in the choice of reverse boundary condition, in the choice of normal boundary condition and further with the presence of sheath helix between the core and cladding parameters. Two methods of winding the helix between the core and cladding are considered namely from right to left and left to right. Through mathematical analysis using field components and boundary conditions the modal characteristics are derived for both conditions. Normal boundary condition and reverse boundary conditions are used respectively to represent the helical windings. Here the characteristic equation is obtained in the form of Bessel and modified Bessel for both waveguides. Using the modal characteristic equation the dispersion curves are plotted for numerous angles and wavelengths. We find that the method of wrapping the helical material has significant effect on the dispersion properties with regards to the way the modes propagate.

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