Theory of light transmission through subwavelength periodic hole arrays

Popov, Evgeny; Nevière, M.; Enoch, Stefan; Reinisch, R.

doi:10.1103/physrevb.62.16100

Cited by 382 publications

(247 citation statements)

References 37 publications

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“…After the discovery of Extraordinary Optical Transmission (EOT) through 1D metallo-dielectric gratings, a number of efforts, both numerical and semianalytical, has been undertaken to understand the physics behind this exceptional phenomenon [1][2][3][4][5][6][7][8][9]. Numerical approaches of modeling EOT devices include the transfer matrix formalism [1,5,10,11], the Finite Difference Time Domain (FDTD) method [9,12], the Rigorous Coupled Wave Analysis (RCWA) [3,6,8,13], and the Exact Modal Analysis (EMA) [14].…”

Section: Introductionmentioning

confidence: 99%

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

Rahman

Majewski

Vasilev

2013

Optics Communications

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Under the sub-wavelength condition (w < λ/2), an analytical model of light transmission and reflection through 1D metallo-dielectric gratings of real metals has been developed. It has been shown that the transmission intensity associated with the Fabry-Perot (FP) resonance of a 1D metallo-dielectric grating of a real metal decreases with the increasing grating thickness and the dielectric constant of the ridge material. Further, it has also been demonstrated that the intensity of the FP resonance increases with the increasing slit width while it is independent of the grating period (P ) and the incidence angle (when P << λ).

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Section: Introductionmentioning

confidence: 99%

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

Rahman

Majewski

Vasilev

2013

Optics Communications

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“…There have been many studies of geometries composed of a periodic array of slits [19][20][21][22][23][24] or grooves. 11,12,[25][26][27][28][29][30][31][32] There is also a substantial body of work concerning the enhanced transmission properties of arrays of holes [33][34][35][36][37][38][39][40][41][42] ͑also Ref. 43 and references therein͒.…”

Section: Introductionmentioning

confidence: 99%

Babinet’s principle and the band structure of surface waves on patterned metal arrays

Edmunds

Taylor

Hibbins

et al. 2010

Journal of Applied Physics

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The microwave response of an array of square metal patches and its complementary structure, an array of square holes, has been experimentally studied. The resonant phenomena, which yield either enhanced transmission or reflection, are attributed to the excitation of diffractively coupled surface waves. The band structure of these surface modes has been quantified for both p-͑transverse magnetic͒ and s-͑transverse electric͒ polarized radiation and is found to be dependent on the periodicity of the electric and magnetic fields on resonance. The results are in excellent accord with predictions from finite element method modeling and the electromagnetic form of Babinet's principle ͓Babinet, C. R. Acad. Sci. 4, 638 ͑1837͔͒.

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“…2 This extraordinary transmission is the result of resonant coupling to surface plasmon (SP) waves at the metal-dielectric interface via the array of holes. 3,4,5,6,7 As with other periodic systems, the optical response of the hole array is determined by both the lattice and the basis. The SP waves are longitudinal, so the polarization is collinear with their direction of propagation.…”

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confidence: 99%

Basis and Lattice Polarization Mechanisms for Light Transmission through Nanohole Arrays in a Metal Film

Gordon¹,

Hughes²,

Leathem³

et al. 2005

Nano Lett.

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The extraordinary light transmission through double-hole and elliptical nanohole arrays in a thin gold film is investigated for different orientations of the holes relative to the lattice. Even though these bases have similar symmetry characteristics, the polarization follows the orientation of the basis for the ellipse but remains fixed along a lattice vector for the double holes. Furthermore, the maximum transmitted intensity for linearly polarized light is constant for the ellipse, but decreases for the double holes as they are rotated away from being aligned with the lattice. Finite-difference time-domain simulations agree well with the experimental findings. These experiments show how the basis determines both the coupling into the surface plasmon waves and the evanescent transmission through the nanoholes. Both of these effects need to be considered when designing nanophotonic devices using the extraordinary transmission phenomenon.Light transmission through subwavelength holes can be increased by several orders of magnitude with respect to Bethe's theory 1 when the holes are periodically arranged in a thin metal film. 2 This extraordinary transmission is the result of resonant coupling to surface plasmon (SP) waves at the metal-dielectric interface via the array of holes. 3,4,5,6,7 As with other periodic systems, the optical response of the hole array is determined by both the lattice and the basis. The SP waves are longitudinal, so the polarization is collinear with their direction of propagation. 8 This means that the polarization direction of the incident field selects which resonance of the lattice is excited. Recent works have shown that changing the basis shape from circular holes to elliptical 9,10 and rectangular 11 holes has a strong influence on the polarization and resonance properties; as the aspect ratio is increased, the polarization perpendicular to the broad edge of the hole has enhanced transmission and the resonance peaks shift in wavelength. Those works focused on the situation in which the elongated basis was aligned with the array's lattice vector. As a result, they did not separate the contributions of the basis and the lattice. Furthermore, both the ellipses and the rectangles considered in those works have a strongly polarized (evanescent) transmission mode through the holes, which was not distinguishable from the other polarization effects.In this work, we investigate the effect of the array basis and its orientation on the transmission. By comparing the behavior of ellipses to double-hole arrays, the contributions of the lattice and basis are distinguished. When the ellipses and the double holes are aligned with the lattice, they both show enhanced transmission for light polarized perpendicular to their long axis. Upon rotation of the basis, however, the transmission of the ellipses and double holes have different polarization behaviors. These experimental results are in good agreement with theoretical simulations based on finitedifference time-domain (FDTD) calculations....

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Theory of light transmission through subwavelength periodic hole arrays

Abstract: The existing theories which aim to explain the extraordinary optical transmission of a metallic film pierced by a two-dimensional subwavelength hole array ͓T.

Cited by 382 publications

References 37 publications

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

Transmission and reflection through 1D metallo-dielectric gratings of real metals under sub-wavelength condition

Babinet’s principle and the band structure of surface waves on patterned metal arrays

Basis and Lattice Polarization Mechanisms for Light Transmission through Nanohole Arrays in a Metal Film

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