Full-Wave Analysis of Layered Aperture Arrays

Schuchinsky, Alexander; Zelenchuk, Dmitry; Лерер, А. М.; Dickie, R.

doi:10.1109/tap.2005.863086

Cited by 23 publications

(18 citation statements)

References 32 publications

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“…In any of those regimes, the characterization of the periodic system can be carried out by means of highly efficient numerical methods based on the solution of the electric field integral equation (EFIE) for the tangential components of the aperture electric field. Schuchinsky et al provide in [15] an excellent example of the implementation of this method for a complex periodic layered structure involving several conducting surfaces with apertures. In this latter paper, the authors deal with infinite periodic structures since this makes it possible to reduce the analysis of the periodic structures to one single cell, which is an important simplification.…”

Section: Introductionmentioning

confidence: 99%

“…In this latter paper, the authors deal with infinite periodic structures since this makes it possible to reduce the analysis of the periodic structures to one single cell, which is an important simplification. A spectral domain approach combined with an analytical regularization of the EFIE is used in [15] for the efficient analysis of a large class of infinite periodic structures both in the resonant regime and in the extraordinary transmission regime. A different strategy is used in [16], where the authors use a hybrid spectral-spatial domain approach for the efficient solution of the EFIE arising in the analysis of multilayered infinite periodic structures with stacked metallic patches in the unit cell.…”

Section: Introductionmentioning

confidence: 99%

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Computationally efficient analysis of extraordinary optical transmission through infinite and truncated subwavelength hole arrays

2016

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The authors present a computationally efficient technique for the analysis of extraordinary transmission through both infinite and truncated periodic arrays of slots in perfect conductor screens of negligible thickness. An integral equation is obtained for the tangential electric field in the slots both in the infinite case and in the truncated case. The unknown functions are expressed as linear combinations of known basis functions, and the unknown weight coefficients are determined by means of Galerkin's method. The coefficients of Galerkin's matrix are obtained in the spatial domain in terms of double finite integrals containing the Green's functions (which, in the infinite case, is efficiently computed by means of Ewald's method) times cross-correlations between both the basis functions and their divergences. The computation in the spatial domain is an efficient alternative to the direct computation in the spectral domain since this latter approach involves the determination of either slowly convergent double infinite summations (infinite case) or slowly convergent double infinite integrals (truncated case). The results obtained are validated by means of commercial software, and it is found that the integral equation technique presented in this paper is at least two orders of magnitude faster than commercial software for a similar accuracy. It is also shown that the phenomena related to periodicity such as extraordinary transmission and Wood's anomaly start to appear in the truncated case for arrays with more than 100 (10 × 10) slots.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computationally efficient analysis of extraordinary optical transmission through infinite and truncated subwavelength hole arrays

2016

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“…The simulator FEKO, as we think, automatically takes into account the electrical field singularity on the mathematically sharp slot edge. Unlike the papers in [28][29][30], we did not supply the basic functions in Equation (2) with the factor accounting the E field singularity at the edges of the slot. Using 11 basic functions in Equation (1), we obtained a good converged value for f res .…”

Section: Numerical Simulations and Experimental Resultsmentioning

confidence: 99%

Coupling of Two Rectangular Waveguides Through a Diaphragm With a Dielectric Slab in the Slot

Yatsuk¹,

Lyakhovsky²,

Katrich³

et al. 2016

PIER M

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A scattering problem for two semi-infinite rectangular waveguides coupling through a narrow slot cut in the common end wall of the two waveguides is solved. The slot is partially filled with a dissipative or perfect dielectric insert. A mathematical model based on continuity of tangential components of magnetic field vectors on both surfaces of the diaphragm in the coupling waveguides is proposed. The magnetic field in the slot is represented by a set of slot eigenwaves. The electrical field distribution function is used as a basis function in the Galerkin's procedure allowing to find unknown amplitude coefficients. Simulation and experimental measurement have been carried out. Dependences of scattering parameters upon the wavelength were studied for various geometric parameters, insert position in the slot, and insert material permittivity and losses. A good agreement between simulation results and experimental data is obtained. It was shown that an estimate of the insert permittivity and losses can be done for unknown materials using experimental and simulated data.

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“…Using the 3D FDTD method, [43] studied optical transmission properties of subwavelength hole-arrays, with particular focus on the effects which the permittivity of the dielectric filling the holes have on the transmission. Sophisticated implementations of methods for treating periodic structures in the same context have been reported in [44][45][46]. Besides theoretical studies, experimental works on this topic of extraordinary transmission have also been performed in numerous papers such as those of [11,32,[47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Extraordinary Transmission Through Subwavelength Hole Arrays for General Oblique Incidence - Mechanism as Related to Surface Wave Dispersion and Floquet Lattice Diagrams

Kehn¹

2018

PIER B

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An array of rectangular holes pierced through a conducting screen is treated herein by a rigorous full-wave modal analysis using the moment method entailing Green's functions for rectangular cavities and planar multilayer structures in the spectral domain. Unexpectedly strong diffusions of incident plane waves are observed even at frequencies where the size of each hole is considerably less than the wavelength, posing a transmission efficiency that exceeds unity and thus leading to extraordinary transmission since this defies classical aperture diffraction theory. This paper fortifies the present understanding of the role surface plasmon polaritons (SPP) play in explaining this phenomenon, by using surface-wave dispersion and Floquet lattice diagrams to link up with the peaks in the transmission spectra. The incidence angle and polarization of the irradiation are taken into account in this work.

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Full-Wave Analysis of Layered Aperture Arrays

Cited by 23 publications

References 32 publications

Computationally efficient analysis of extraordinary optical transmission through infinite and truncated subwavelength hole arrays

Computationally efficient analysis of extraordinary optical transmission through infinite and truncated subwavelength hole arrays

Coupling of Two Rectangular Waveguides Through a Diaphragm With a Dielectric Slab in the Slot

Extraordinary Transmission Through Subwavelength Hole Arrays for General Oblique Incidence - Mechanism as Related to Surface Wave Dispersion and Floquet Lattice Diagrams

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