Field Distribution into Binary Linear Waveguide Array


The binary (two-component) linear waveguide array that is formed either from identical waveguides but with alternating distances between adjacent waveguides, or waveguides with a positive refractive index, but having distinctions in the refractive index or the waveguide thickness. The exact solution of the coupled wave equations describing the field distribution over waveguides is found. These solutions describe the discrete diffraction in the model under consideration.

Keywords: coupled waveguides, binary array, discrete diffraction, generation function method.

[1] S. Somekh, E. Garmire, A. Yariv, H.L. Garvin, and R.G. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Letts. vol. 22, no 2, pp. 46-47, 1973

[2] A.I. Maimistov, and I.G. Gabitov. “Nonlinear optical effects in artificial materials”, Eur. Phys. J. Special Topics. vol. 147, no. 1, pp. 265-286, 2007.

[3] T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous Refraction and Diffraction in Discrete Optical Systems,” Phys.Rev.Lett. vol. 88, 093901 (4 pp), 2002

[4] O V Borovkova, V E Lobanov, A P Sukhorukov, and A K Sukhorukova, “Controllable
discrete diffraction in cascade-induced waveguides”, Quantum electron, vol. 39, no. 11, pp. 1050–1054, 2009.

[5] S. Flach, D. Leykam, J.D. Bodyfelt, P. Matthies, and A.S. Desyatnikov, “Detangling flat bands into Fano lattices”, Europhys. Lett. vol. 105, 30001 (6 pp), 2014.

[6] A.I. Maimistov, and I.R. Gabitov, “Optical flat bands in 2D waveguide arrays with alternating sign of refraction index”, J.Phys. Conference Series, vol. 714, 012013 (4 pp), 2016.

[7] A.I. Maimistov and V.A. Patrikeev, “Electromagnetic Wave Propagation in a Quasi- 1D Rhombic Linear Optical Waveguide Array”, J.Phys. Conference Series, vol. 737, 012008 (4 pp). 2016, doi:10.1088/1742-6596/737/1/012008