Comparative study of boundary conditions with helix

Shamini Pillay; Deepak Kumar; Y. N. Phua

doi:10.1117/12.2243425

11 November 2016 Comparative study of boundary conditions with helix

Shamini Pillay, Deepak Kumar, Y. N. Phua

Proceedings Volume 10150, Second International Seminar on Photonics, Optics, and Its Applications (ISPhOA 2016); 1015006 (2016) https://doi.org/10.1117/12.2243425
Event: Second International Seminar on Photonics, Optics, and Its Applications (ISPhOA 2016), 2016, Bali, Indonesia

Abstract

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.

Citation Download Citation

Shamini Pillay, Deepak Kumar, and Y. N. Phua "Comparative study of boundary conditions with helix", Proc. SPIE 10150, Second International Seminar on Photonics, Optics, and Its Applications (ISPhOA 2016), 1015006 (11 November 2016); https://doi.org/10.1117/12.2243425

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KEYWORDS

Dispersion

Wave propagation

Cladding

Waveguides

Bessel functions

Magnetism

Optical fibers

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