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In the context of coupled periodic waveguides, "couplonics" refers to the rigorous equivalence between continuous wave coupling and localized interactions. We extend it here to a cyclic ternary system, looked upon as the simplest discrete photonic crystal with actual periodic boundary conditions. A linear decomposition on a supermode basis enables one to reduce the original sixwave problem to three independent two-wave distributed Bragg reflectors (or 1D PC).
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S. Boscolo, M. Midrio, C. G. Someda, Coupling and Decoupling of Electromagnetic Waves in Parallel 2-D Photonic Crystal Waveguides, IEEE J. Quantum Elec-tron., Vol. 38 (1), 47-53, 2002.
J. Zimmermann, M. Kamp, A. Forchel, R. März, Pho-tonic crystal waveguide directional couplers as wave-length selective optical filters, Optics Comm., Vol. 230, 387-392, 2004.
Y. G. Boucher, Fundamentals of Couplonics, Proc. SPIE Photonics Europe, Strasbourg, France, Vol. 6182, 61821E, 2006.
Y. G. Boucher, A. V. Lavrinenko, D.N. Chigrin, Out-of-phase Coupled Periodic Waveguides: a "couplonic" ap-proach, Optical Quantum Electron., Vol. 39, No. 10-11, 837-847, 2007.
L. Le Floc'h, V. Quintard, J.-F. Favennec, Y. Boucher, Spectral Properties of a Periodic N×N Network of Inter-connected Transmission Lines, Microwave Optical Technol. Lett., Vol. 37 (4), 255-259, 2003.
A. A. Barybin and V. A. Dmitriev, Modern Electro-dynamics and Coupled-Mode Theory: Application to Guided-Wave Optics, Rinton Press, 2002.
A. Yariv and P. Yeh, Optical Waves in Crystals, Wiley, New York, 1984.
N. Matuschek, F.X. Kärtner, U.Keller, Exact Coupled-Mode Theories for Multilayer Interference Coatings with Arbitrary Strong Index Modulations, IEEE J. Quantum Electron., Vol. 33 (3), 295-302, 1997.
Y. G. Boucher, L. Le Floc'h, V. Quintard, J.-F. Faven-nec, "Canonical alpinism" and "canonical surf-riding": a universal tool for normalised parametric analysis of one-dimensional periodic structures, Optical and Quan-tum Electronics, Vol. 38 (1-3), 203-207, 2006.
H. Kogelnik, C.V. Shank, Coupled-Wave Theory of Distributed Feedback Lasers, J. Appl. Phys., Vol. 43, 2327-2335, 1972.
N. Belabas, S. Bouchoule, I. Sagnes, J.A. Levenson, C. Minot, J.-M. Moison, Confining light flow in weakly coupled waveguide arrays by structuring the coupling constant: towards discrete diffractive optics, Opt. Expr., Vol. 17 (5), 3148-3156, 2009.
E. Feigenbaum, H.A. Atwater, Resonant Guided Wave Networks, Phys. Rev. Lett. Vol. 104, 147402, 2010.