Ring resonator-based highly sensitive chemical/biochemical sensor created on holes in silicon slab 2D photonic crystal

2D photonic crystal ring resonator (2DPCRR)-based highly sensitive chemical/biochemical sensor is designed and simulated. It consists of triangular lattice air holes on a silicon slab of refractive index 3.46\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3.46$$\end{document}. The sensitivity is determined by shifts in the resonance wavelength as a function of the refractive index of sensing holes. Simulations are performed using the two-dimension finite-difference time-domain method, and the band diagram is calculated using the plane wave expansion method. The 2DPCRR has ultra-compact footprint of 75μm2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$75 {\mathrm{\mu m}}^{2}$$\end{document}, high-quality factor of 3105.58\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3105.58$$\end{document}, with a spectral width of 0.5nm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0.5\mathrm{ nm}$$\end{document} at the resonant wavelength of 1552.79nm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1552.79\mathrm{ nm}$$\end{document}. Sensor shows a high figure of merit (862RIU-1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(862{\mathrm{ RIU}}^{-1})$$\end{document}, a low detection limit (1.2∗10-4RIU)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(1.2*{10}^{-4}\mathrm{ RIU})$$\end{document}, and a maximum sensitivity of 431nm/RIU\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$431\mathrm{ nm}/\mathrm{RIU}$$\end{document}. The proposed sensor exhibits considerable performance enhancements in comparison with previously published results.