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Temporal Coupled-Mode Theory for Light Scattering and Absorption by Nanostructures

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Fano Resonances in Optics and Microwaves

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 219))

Abstract

Nanostructures enrich optical resonances in wavelength and even subwavelength region and consequently influence scattering and absorption properties profoundly. Temporal coupled-mode theory was initially developed and applied to analyzing waveguide-resonator interactions in integrated optics. In this chapter, we develop the temporal coupled-mode theory formalism to describe the coupling process and the interference effect involved with optical scattering and absorption in nanostructures. We first discuss the temporal coupled-mode theory based on the consideration of energy conservation and time-reversal symmetry and validate the theory with numerical simulations. Based on the theory, we then elucidate that both the Fano interference and electromagnetic induced transparency (EIT)-like effect can be unified in a temporal coupled-mode equation, but with different background phase shifts. Such a model provides a general line shape formula of scattering and absorption cross sections for both cases. At last we discuss the super-scattering effect of a single subwavelength particle, where an arbitrarily large total scattering cross section can be achieved provided that one maximizes the contributions from a sufficiently large number of resonances.

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Authors and Affiliations

  1. Department of Physics, Zhejiang University, Hangzhou, 310027, China

    Yisheng Fang

  2. Department of Physics, Zhejiang University, and State Key Laboratory of Modern Optical Instrumentation, Hangzhou, 310027, China

    Zhichao Ruan

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  1. Yisheng Fang
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Correspondence to Zhichao Ruan .

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Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beersheba, Israel

    Eugene Kamenetskii

  2. Federal Research Center KSC SB RAS, Kirensky Institute of Physics, Krasnoyarsk, Russia

    Almas Sadreev

  3. School of Engineering and Information Technology, University of New South Wales, Canberra, ACT, Australia

    Andrey Miroshnichenko

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Fang, Y., Ruan, Z. (2018). Temporal Coupled-Mode Theory for Light Scattering and Absorption by Nanostructures. In: Kamenetskii, E., Sadreev, A., Miroshnichenko, A. (eds) Fano Resonances in Optics and Microwaves. Springer Series in Optical Sciences, vol 219. Springer, Cham. https://doi.org/10.1007/978-3-319-99731-5_7

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