Effective-medium theory for two-component nonlinear composites

Yu, K. W.; Chu, Yul; Chan, Eliza M. Y.

doi:10.1103/physrevb.50.7984

Cited by 23 publications

(15 citation statements)

References 19 publications

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“…To be able to compare the dewetted samples' permittivity with that of pure Cr, we need to have an estimation of the effective permittivity of the structure. The effective permittivity ε eff of a dewetted metal layer can be described by using the effective medium approximation (EMA) [63] as…”

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confidence: 99%

Tuning the metal filling fraction in metal-insulator-metal ultra-broadband perfect absorbers to maximize the absorption bandwidth

et al. 2018

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In this paper, we propose a methodology to maximize the absorption bandwidth of a metal-insulator-metal (MIM) based absorber. The proposed structure is made of a Cr-Al 2 O 3-Cr multilayer design. At the initial step, the optimum MIM planar design is fabricated and optically characterized. The results show absorption above 0.9 from 400 nm to 850 nm. Afterward, the transfer matrix method is used to find the optimal condition for the perfect light absorption in an ultra-broadband frequency range. This modeling approach predicts that changing the filling fraction of the top Cr layer can extend light absorption toward longer wavelengths. We experimentally proved that the use of proper top Cr thickness and annealing temperature leads to a nearly perfect light absorption from 400 nm to 1150 nm, which is much broader than that of a planar design. Therefore, while keeping the overall process lithography-free, the absorption functionality of the design can be significantly improved. The results presented here can serve as a beacon for future performance-enhanced multilayer designs where a simple fabrication step can boost the overall device response without changing its overall thickness and fabrication simplicity.

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confidence: 99%

Tuning the metal filling fraction in metal-insulator-metal ultra-broadband perfect absorbers to maximize the absorption bandwidth

et al. 2018

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“…Numerous papers have been devoted to the problem of determining the effective constitutive law of random nonlinear composites in electrostatics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] , of importance for understanding various nonlinear phenomena, either entering the class of "weakly nonlinear" (WNL) phenomena, or that of "strongly nonlinear" phenomena such as random fuse-type or dielectric breakdown-type failure of materials 17 .…”

Section: Introductionmentioning

confidence: 99%

Field distributions and effective-medium approximation for weakly nonlinear media

Pellegrini

2000

Phys. Rev. B

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An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These distributions are computed to linear order from a Bruggeman-like self-consistent formula. The resulting effective-medium formula for the nonlinear medium reduces to Bruggeman's in the linear case. It is exact up to second order in a weakdisorder expansion, and close to the exact result in the dilute limit (in particular, it is exact for d = 1 and d = ∞). In a high contrast situation, the noise exponents are κ = κ ′ = 0 near the percolation threshold. Numerical results are provided for different weak nonlinearities. The use of the Bruggeman formula as a starting point for nonlinear homogeneization theories in dimensions d > 2 is questioned on the basis of known exact bounds on the noise exponents.

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“…was proposed to study the effective nonlinear response for larger volume fraction and to describe the critical behavior of nonlinear properties qualitatively.' [8][9][10][11] ' By using the connection between the third-nonlinear response of the nonlinear composite problem and the conductance (resistance) fluctuations of the corresponding random linear composite problem, the crossover physical parameters such as crossover electric field and current density are studied.' 9,10 ' Parallel to the study of the weakly nonlinear system, for a class of strongly nonlinear composite in which the component obeys the current-voltage (i-v) response of the form i = XV a , substantial progress has been made.…”

Section: Introductionmentioning

confidence: 99%

Critical Behavior of Nonlinear Properties in Percolating Superconductor/Nonlinear-Normal Conductor Networks

Gao¹,

Qing²,

Li³

1999

Commun. Theor. Phys.

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The critical behavior of nonlinear response in random networks of superconductor/nonlinear-normal conductors below the percolation threshold is investigated. Two cases are examined: (i) The nonlinear normal conductor has weakly nonlinear current (i)–voltage () response of the form . Both the crossover current density and the crossover electric field are introduced to mark the transition between the linear and nonlinear responses of the network and are found to have power-law dependencies and as the percolation threshold of the superconductor is approached from below, where , , and are the correlation length exponent and the critical exponent of linear conductivity in percolating S/N system respectively; (ii) The nonlinear-normal conductor has strongly nonlinear response, i.e., The effective nonlinear response , behaves as , where is the critical exponent of the nonlinear response and is -dependent in general. The results are compared with recently published data, reasonable agreement is found.

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Effective-medium theory for two-component nonlinear composites

Cited by 23 publications

References 19 publications

Tuning the metal filling fraction in metal-insulator-metal ultra-broadband perfect absorbers to maximize the absorption bandwidth

Tuning the metal filling fraction in metal-insulator-metal ultra-broadband perfect absorbers to maximize the absorption bandwidth

Field distributions and effective-medium approximation for weakly nonlinear media

Critical Behavior of Nonlinear Properties in Percolating Superconductor/Nonlinear-Normal Conductor Networks

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