Enhancement of Electromagnetic Fields Caused by Interacting Subwavelength Cavities

Babadjian, Jean-Franc Ois; Bonnetier, Éric; Triki, Faouzi

doi:10.1137/100787659

Cited by 24 publications

(25 citation statements)

References 19 publications

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“…By taking the inner product of (3.14) with e 1 and e 2 respectively, it follows that 15) where the matrix M is defined as…”

Section: Asymptotic Expansion Of the Boundary Integral Operatorsmentioning

confidence: 99%

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime

Lin¹,

Zhang²

2018

Multiscale Model. Simul.

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This is the first part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array of subwavelength slits. The scattering problem in the diffraction regime is investigated in this part, for which the size of the period is comparable to the incident wavelength. We distinguish scattering resonances and real eigenvalues, and derive their asymptotic expansions when they are away from the Rayleigh cut-off frequencies.Furthermore, we present quantitative analysis of the field enhancement at resonant frequencies, by quantifying both the enhancement order and the associated resonant modes. The field enhancement near the Rayleigh cut-off frequencies is also investigated. It is demonstrated that the field enhancement becomes weaker at the resonant frequency if it is close to the Rayleigh cut-off frequencies. Finally, we also characterize the embedded eigenvalues for the underlying periodic structure, and point out that transmission anomaly such as Fano resonant phenomenon does not occur for the narrow slit array.

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“…By taking the inner product of (3.14) with e 1 and e 2 respectively, it follows that 15) where the matrix M is defined as…”

Section: Asymptotic Expansion Of the Boundary Integral Operatorsmentioning

confidence: 99%

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime

Lin¹,

Zhang²

2018

Multiscale Model. Simul.

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“…The field enhancement at low frequencies has been investigated by the authors in [19], assuming that the wavelength is much larger than the thickness of the slab. We also refer to a closely related problem of scattering by subwavelength cavities in [7,8], where the layer potential techniques and Gohberg-Sigal theory are applied to study the resonances. A nice introduction to these techniques is given in [3].…”

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confidence: 99%

“…A nice introduction to these techniques is given in [3]. The techniques adopted in this paper for the analysis of resonances share the same spirit as the ones used in [7,8]. However, we avoid the operator version of residue theorem and Gohberg-Sigal theory by reducing the problem to the analysis of ordinary analytic functions.…”

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confidence: 99%

Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

Lin¹,

Zhang²

2017

SIAM J. Appl. Math.

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This paper is concerned with the scattering and field enhancement of a narrow slit perforated in a slab of perfect conductor. We demonstrate that the enhancement of the electromagnetic field for such a configuration can be induced by either Fabry-Perot type scattering resonances or certain non-resonant effect in the quasi-static regime. We derive the asymptotic expansions of Fabry-Perot type resonances and quantitatively analyze the field enhancement at the resonant frequencies, for which both the enhancement order and the shapes of resonant modes are precisely characterized. The field enhancement at non-resonant frequencies in the quasi-static regime is also investigated. It is shown that the fast transition of the magnetic field in the slit induces strong electric field enhancement.

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“…We may begin with simple geometries, where the analytical approaches are made possible to obtain an accurate description of the electromagnetic field. In [7,11], the field enhancement was considered for a single rectangle cavity and double rectangle cavities. Using asymptotic expansions of Green's function, they showed that the limiting Green function is a perfectly conducting plane with a dipole in place of the cavity when the width of the cavity shrinks to zero.…”

Section: Introductionmentioning

confidence: 99%