• Chinese Optics Letters
  • Vol. 19, Issue 8, 083601 (2021)
Kiran Mujeeb1, Muhammad Faryad2, Akhlesh Lakhtakia3、*, and Julio V. Urbina4
Author Affiliations
  • 1Department of Electronics, Quaid-i-Azam University, Islamabad 45320, Pakistan
  • 2Department of Physics, Lahore University of Management Sciences, Lahore 54792, Pakistan
  • 3Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 4Department of Electrical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
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    DOI: 10.3788/COL202119.083601 Cite this Article Set citation alerts
    Kiran Mujeeb, Muhammad Faryad, Akhlesh Lakhtakia, Julio V. Urbina. Surface-plasmonic sensor using a columnar thin film in the grating-coupled configuration [Invited][J]. Chinese Optics Letters, 2021, 19(8): 083601 Copy Citation Text show less

    Abstract

    The excitation of a surface-plasmon-polariton (SPP) wave guided by a columnar thin film (CTF) deposited on a one-dimensional metallic surface-relief grating was investigated for sensing the refractive index of a fluid infiltrating that CTF. The Bruggemann homogenization formalism was used to determine the relative permittivity scalars of the CTF infiltrated by the fluid. The change in the refractive index of the fluid was sensed by determining the change in the incidence angle for which an SPP wave was excited on illumination by a p-polarized plane wave, when the plane of incidence was taken to coincide with the grating plane but not with the morphologically significant plane of the CTF. Multiple excitations of the same SPP wave were found to be possible, depending on the refractive index of the fluid, which can help increase the reliability of results by sensing the same fluid with more than one excitation of the SPP wave.
    ε̲̲CTF=S̲̲z·S̲̲y·(εau^zu^z+εbu^xu^x+εcu^yu^y)·S̲̲y1·S̲̲z1,

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    S̲̲y=(u^xu^x+u^zu^z)cosχ+(u^zu^xu^xu^z)sinχ+u^yu^y

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    S̲̲z=(u^xu^x+u^yu^y)cosγ+(u^yu^xu^xu^y)sinγ+u^zu^z

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    ε̲̲g(x,z)={εmI̲̲(εmI̲̲ε̲̲CTF)U[Lg+Lczg(x)],x[0,L1),ε̲̲CTF,x(L1,L],z(Lc,Lc+Lg),

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    U(ξ)={1,ξ0,0,ξ<0.

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    g(x)=Lgsin(πx/L1),

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    kx(n)=k0sinθ+n2π/L.

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    U̲̲=S̲̲z·S̲̲y(u^zu^z+γτu^xu^x+γbu^yu^y)·S̲̲y1·S̲̲z1,

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    {εa=[1.1961+1.5439ν0.7719ν2]2εb=[1.4600+1.0400ν0.5200ν2]2εc=[1.3532+1.2296ν0.6148ν2]2χ=arctan(3.1056tanχv),

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    S=ΔθpΔnL,

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    Kiran Mujeeb, Muhammad Faryad, Akhlesh Lakhtakia, Julio V. Urbina. Surface-plasmonic sensor using a columnar thin film in the grating-coupled configuration [Invited][J]. Chinese Optics Letters, 2021, 19(8): 083601
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