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Coupled mode theory : ウィキペディア英語版
Coupled mode theory
Coupled mode theory (CMT) is a perturbational approach for analyzing the coupling of vibrational systems (mechanical, optical, electrical, etc.) in space or in time. Coupled mode theory allows a wide range of devices and systems to be modeled as one or more coupled resonators. In optics, such systems include laser cavities, photonic crystal slabs, metamaterials, and ring resonators.
== History ==

Coupled mode theory first arose in the 1950s in the works of Miller on microwave transmission lines,〔S.E.Miller,"Coupled wave theory and waveguide applications.",Bell Syst.Tech. J.,1954〕 Pierce on electron beams,〔J.R. Pierce, "Coupling of modes of propagations", Journal of Applied Physics, 25, 1954〕 and Gould on backward wave oscillators.〔R.W. Gould, "A coupled mode description of the backward-wave oscillator and the Kompfner dip condition" I.R.E. Trans. Electron Devices, vol. PGED-2, pp. 37-42, 1955.〕 This put in place the mathematical foundations for the modern formulation.〔H.A. Haus, W.P. Huang. "Coupled Mode Theory."Proceedings of The IEEE, Vol 19, No 10, Oct 1991.〕
In the late 1990s and early 2000s, the field of nanophotonics has revitalized interest in coupled mode theory. Coupled mode theory has been used to account for the fano resonances in photonic crystal slabs〔S. Fan, W. Suh, J. Joannopoulos, "Temporal coupled-mode theory for the Fano resonance in optical resonators," JOSA A, vol. 20, no. 3, pp. 569–572, 2003.〕 and has also been modified to account for optical resonators with non-orthogonal modes.〔W. Suh, Z. Wang, and S. Fan, "Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities," Quantum Electronics, IEEE Journal of, vol. 40, no. 10, pp. 1511–1518, 2004〕

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