Abstract
Optical properties of a resonant diffraction grating with a period varying in the periodicity direction are studied at oblique incidence of light. Using rigorous numerical simulations based on the Fourier modal method, it is shown that in the case of relatively compact varying-period gratings, the period change rate must be taken into account, and the local periodic approximation commonly used for the description of such structures becomes inapplicable. Coupled-mode equations with varying parameters are obtained for the case of oblique incidence and solved analytically in terms of the complementary error function. The predictions of the developed coupled-mode theory appear to be in good agreement with the rigorous numerical results.
Similar content being viewed by others
REFERENCES
Zhou, W., Zhao, D., Shuai, Y.-C., Yang, H., Chuwongin, S., Chadha, A., Seo, J.-H., Wang, K.X., Liu, V., Ma, Z., and Fan, S., Progress in 2D photonic crystal Fano resonance photonics, Prog. Quantum Electron., 2014, vol. 38, no. 1, pp. 1–74.
Quaranta, G., Basset, G., Martin, O.J.F., and Gallinet, B., Recent advances in resonant waveguide gratings, Laser Photon. Rev., 2018, vol. 12, no. 9, 1800017.
Soloviev V.S., Timoshenkov, S.P, Timoshenkov, A.S., Vinogradov, A.I., Kondratiev, N.M., and Raschepkina, N.A., Modeling the input of radiation into plane linear waveguides using diffraction gratings for a new technology for the manufacture of waveguide systems, Comput. Opt., 2020, vol. 44, no. 6, pp. 917–922.
Kotlyar, V.V., Stafeev, S.S., O’Faolain, L., and Kotlyar, M.V., High numerical aperture metalens for the formation of energy backflow, Comput. Opt., 2020, vol. 44, no. 5, pp. 691–698.
Emadi, A., Wu, H., de Graaf, G., and Wolffenbuttel, R., Design and implementation of a sub-nm resolution microspectrometer based on a linear-variable optical filter, Opt. Express, 2012, vol. 20, no. 1, pp. 489–507.
Qian, L., Zhang, D., Tao, C., Hong, R, and Zhuang, S., Tunable guided-mode resonant filter with wedged waveguide layer fabricated by masked ion beam etching, Opt. Lett., 2016, vol. 41, no. 5, pp. 982–985.
Qian, L., Wang, K., and Han, C., Tunable filter with varied-line-spacing grating fabricated using holographic recording, IEEE Photon. Technol. Lett., 2017, vol. 29, no. 11, pp. 925–928.
Hsiung, C.-T. and Huang, C.-S., Refractive index sensor based on a gradient grating period guided-mode resonance, IEEE Photon. Technol. Lett., 2019, vol. 31, no. 3, pp. 253–256.
Triggs, G.J., Wang, Y., Reardon, C.P., Fischer, M., Evans, G.J.O., and Krauss, T.F., Chirped guided-mode resonance biosensor, Optica, 2017, vol. 4, no. 2, pp. 229–234.
Wang, Y.-C., Jang, W-Y., and Huang, C.-S., Lightweight torque sensor based on a gradient grating period guided-mode resonance filter, IEEE Sens. J., 2019, vol. 19, no. 16, pp. 6610–6617.
Moharam, M.G., Grann, E.B., Pommet, D.A., and Gaylord, T.K., Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings, J. Opt. Soc. Am. A, 1995, vol. 12, no. 5, pp. 1068–1076.
Nesterenko, D.V., Hayashi, S., and Soifer, V., Ab initio spatial coupled-mode theory of Fano resonances in optical responses of multilayer interference resonators, Phys. Rev. A, 2022, vol. 106, no. 2, 023507.
Haus, H.A., Waves and Fields in Optoelectronics, Englewood Cliffs: Prentice-Hall, 1984.
Nesterenko, D.V., Resonance characteristics of transmissive optical filters based on metal/dielectric/metal structures, Comput. Opt., 2020, vol. 44, no. 2, pp. 219–228.
Bykov, D.A., Bezus, E.A., Morozov A.A., Podlipnov, V.V., and Doskolovich, L.L., Optical properties of guided-mode resonant gratings with linearly varying period, Phys. Rev. A, 2022, vol. 106, no. 5, 053524.
Funding
This work was supported by the Russian Science Foundation, project no. 22-12-00120.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
About this article
Cite this article
Bykov, D.A., Bezus, E.A. & Doskolovich, L.L. Resonant Effects in Subwavelength Diffraction Gratings with Varying Period in the Case of Oblique Incidence. Opt. Mem. Neural Networks 32 (Suppl 1), S84–S89 (2023). https://doi.org/10.3103/S1060992X23050053
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1060992X23050053