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Crystals 2018, 8(4), 177;

Analysis of Leaky Modes in Photonic Crystal Fibers Using the Surface Integral Equation Method

Department of Electrical Engineering, I-Shou University, Kaohsiung 84001, Taiwan
Received: 1 March 2018 / Revised: 14 April 2018 / Accepted: 14 April 2018 / Published: 19 April 2018
(This article belongs to the Special Issue Photonic Crystal Fiber)
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A fully vectorial algorithm based on the surface integral equation method for the modelling of leaky modes in photonic crystal fibers (PCFs) by solely solving the complex propagation constants of characteristic equations is presented. It can be used for calculations of the complex effective index and confinement losses of photonic crystal fibers. As complex root examination is the key technique in the solution, the new algorithm which possesses this technique can be used to solve the leaky modes of photonic crystal fibers. The leaky modes of solid-core PCFs with a hexagonal lattice of circular air-holes are reported and discussed. The simulation results indicate how the confinement loss by the imaginary part of the effective index changes with air-hole size, the number of rings of air-holes, and wavelength. Confinement loss reductions can be realized by increasing the air-hole size and the number of air-holes. The results show that the confinement loss rises with wavelength, implying that the light leaks more easily for longer wavelengths; meanwhile, the losses are decreased significantly as the air-hole size d/Λ is increased. View Full-Text
Keywords: photonic crystal fiber; leaky mode; surface integral equation method photonic crystal fiber; leaky mode; surface integral equation method

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Chiang, J.-S. Analysis of Leaky Modes in Photonic Crystal Fibers Using the Surface Integral Equation Method. Crystals 2018, 8, 177.

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