Optical Fiber Coupler Analysis Using Daubechies Wavelets





Daubechies Wavelets, PCF, CFSI.


This paper presents the theoretical analysis of a signal coupling between a Photonic Crystal Fiber (PCF) and a Conventional Fiber with Step Index (CFSI).  In this analysis, the Finite Element Method (FEM) and Beam Propagation Method (BPM) are applied in conjunction with Daubechies Wavelets used as basis function and introduced in the mathematical formulation. In the simulation, the PCF signal power was launched into the core of the CFSI with a relative refractive index equal to the PCF, considering the clad refractive index 1.5 % lower than the core index.

Author Biographies

R. R. de Melo, Federal University of Ceará, Sobral, Brazil

Computer Engineering

J. P. da Silva, Federal University of Rio Grande do Norte, Natal, Brazil

 Department of Electrical Engineering


T. Zhao et al., “Ultrabroadband Polarization-Insensitive Coupler Based on Dual-Core Photonic Crystal Fiber”, IEEE Photonics Journal, vol. 9, no. 1, pp 1-10, 2017.

M. Hossain, B. Hossain and Z. Amin, “Small coupling length with a low confinement loss dual-core liquid infiltrated photonic crystal fiber coupler”, OSA Continuum, vol. 1, no. 3, pp 953-962, 2018.

J. P. da Silva, E. G. do Santos and B. S. Marcos T., “Directional Coupler Based on a Photonic Quasi-Crystal Fiber with Extended Cores”, Journal of Microwaves, Optoelectronics and Electromagnetic Applications, vol. 17, no. 2 pp 201-207, 2018.

L. Zhengyong et al., “Multifunctional smart Optical Fibers: Materials, Fabrication, and Sensing Application”, Photonics, vol. 6. no. 2, pp 48, Multidisciplinary Digital Publishing Institute, 2019.

S. G. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation", IEEE Transactions on Pattern Recognition and Machine Intelligence, vol. 11, no. 7, pp 674-693.

J. P. da Silva et al., “Improved Vectorial Finite Element BPM Analysis for Transverse Anisotropic Media”, Journal of Lightwave Technology, vol. 21, no. 2, pp 567-576, 2003.

G. Karagounis, D. De Zutter, and D. V. Ginste, “Full-wave simulation of optical waveguides via truncation in the method of moments using PML absorbing boundary conditions”, Optics Express, vol. 24, no. 25, pp 28326-28336, 2016

J.P. Berenger, “A Perfectly Matched Layer for the Absorption of Electromagnetic Waves”, Journal of computational physics, vol. 114, no. 2, pp 185-200, 1994.

P. C. L. da Silva et al., “Daubechies Wavelets as Basis Functions for the Vectorial Beam Propagation Method”, Journal of Electromagnetic Waves and Applications, vol. 33, no. 8, pp 1027-1041, 2019.

J. P. da Silva, “Ge-Doped Microstructured Fiber Design by Genetic Algorithm for Directional Coupling”, Microwave and Optical Technology Letters, vol. 55, no. 2, pp 281-285, 2013.

Y. H. LI, W. D. FAN, and Q. Q. SHENG, “A novel photonic quasicrystal fiber with broadband large negative dispersion”, Physics Letters, vol. 27, no. 11, pp 114211, 2010.




How to Cite

da Silva, P. C. L., R. de Melo, R., & da Silva, J. P. (2020). Optical Fiber Coupler Analysis Using Daubechies Wavelets. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 19(3), AoP 294-300. https://doi.org/10.1590/2179-10742020v19i3825



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