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The Effects of Grating Profile on Dispersion Relations of Surface Plasmon Polaritons in Kretschmann–Raether Configuration

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Abstract

The surface plasmon polaritons (SPPs) have been demonstrated with significant advantages in nano-photonic devices due to their ability to control and manipulate light. In this paper, the transmission characteristics of light and field properties of SPPs on the surface of different shapes of gratings in Kretschmann–Raether configurations are studied. With increase of frequency, the strength of SPPs and the light-SPP conversion efficiency decrease, and the conversion efficiency of grating is lower than that of the smooth gold film. The minimum reflection spectrum is obtained through connecting the minimum reflection coefficients corresponding to different incident angles. The valley points of the minimum reflection spectrums are close in gratings with different width while quite different in gratings with different groove depths, which means that the depth of the grooves in grating can regulate the maximum transmission frequency of light. The effective plasma frequency of metal grating is proposed to replace the plasma frequency of the gold film, which shows that the groove depth is negatively relevant to effective plasma frequency of the gold grating and the frequency of SPPs while the groove width does not affect them. Synthesizing the simulation results, we found that the effective plasma frequency of gold grating and dispersion relations of SPPs on the surface of grating change with the propagation trajectory of SPPs. The physical mechanism of this phenomenon is explained through an analogy of the surface wave on grating to slow wave in slow-wave-structure of vacuum electronic devices.

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Data Availability

The dataset that this work is based upon is available from the corresponding author upon reasonable request.

Code Availability

Results in this paper were obtained by COMSOL Multiphysics 5.5, and the code is available from the corresponding author upon reasonable request.

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Funding

This work was funded by the National Natural Science Foundation of China (Grant Nos. 61921002, 61501094, and 61988102).

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Authors and Affiliations

  1. School of Electronic Science and Engineering, University of Electronic Science and Technology of China, No.4, Section 2, North Jianshe Road, Chengdu, 610054, China

    Hongyang Guo, Ping Zhang, Shaomeng Wang, Yilin Pan, Xiaosong Wang, Zhanliang Wang & Yubin Gong

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  1. Hongyang Guo
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  2. Ping Zhang
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  3. Shaomeng Wang
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  4. Yilin Pan
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  5. Xiaosong Wang
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  6. Zhanliang Wang
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  7. Yubin Gong
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Contributions

Hongyang Guo did the main work and drafted the manuscript. Ping Zhang worked on the calculation method of the simulation model and theoretical formula derivation. Shaomeng Wang polished the manuscript and prepared the reply to comments. Yilin Pan and Xiaosong Wang worked on the simulation and proposed the initial set up. Zhanliang Wang participated in the discussion and put forward many useful suggestions. Yubin Gong thoughtfully guided the research direction and research content.

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Correspondence to Yubin Gong.

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Guo, H., Zhang, P., Wang, S. et al. The Effects of Grating Profile on Dispersion Relations of Surface Plasmon Polaritons in Kretschmann–Raether Configuration. Plasmonics 16, 2249–2258 (2021). https://doi.org/10.1007/s11468-021-01484-9

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