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Demonstration of nonlinear magnetoelectric coupling in metamaterials
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http://aip.metastore.ingenta.com/content/aip/journal/apl/101/5/10.1063/1.4738774
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Figures

Image of FIG. 1.

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FIG. 1.

Proposed VLSRR for demonstration of nonlinear magnetoelectric coupling at microwave frequencies, composed of a split copper ring with varactor diodes loaded into the ring’s two capacitive gaps. Lengths are given in millimeters.

Image of FIG. 2.

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FIG. 2.

Simulation and analysis of the VLSRRs. (a) The effective real (solid lines) and imaginary (dashed lines) linear properties. (b) The electric field norm (shading) and current (arrows) induced in response to an applied electric field (left) or magnetic field (right) at 0.97 GHz. (c) Illustration of the internal SHG process. Arrows indicate the relative directionality of the voltages across the varactors (white) and the varactors themselves (red). The “×” symbolize the product in Eq. (3). The effective second-order response is thus selected by the varactor orientations: in the anti-symmetric VLSRR, and in the symmetric VLSRR.

Image of FIG. 3.

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FIG. 3.

(a) Schematic of the experimental setup used in measuring the SH signals from the VLSRR samples. (b) Photograph of the single-layer VLSRR samples.

Image of FIG. 4.

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FIG. 4.

Measured (blue markers) and simulated (dashed lines) SHG from the two VLSRR samples. The reflected SH spectrums are plotted in the upper diagrams, while the phase differences between the transmitted and reflected SH signals are plotted below. For comparison, the insets illustrate SHG from thin homogeneous sheets with the indicated nonlinearity. As expected, the symmetric VLSRR shows behavior consistent with an effective second-order polarization, proportional to the square of the FF magnetic field.

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/content/aip/journal/apl/101/5/10.1063/1.4738774
2012-07-30
2014-04-19

Abstract

We demonstrate nonlinear magnetoelectric coupling in a varactor-loaded metamaterial at microwave frequencies. The nonlinear magnetoelectric coupling takes the form of second-harmonic generation in which incident magnetic fields at frequency ω drive an electric polarization at frequency 2ω. The magnitudes and phases of the generated signals from two nonlinear metamaterials are measured, verifying the dominant nonlinear process in each sample. We expect the metamaterial design employed in this letter to form the prototype for future investigations into nonlinear magnetoelectric coupling.

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Scitation: Demonstration of nonlinear magnetoelectric coupling in metamaterials
http://aip.metastore.ingenta.com/content/aip/journal/apl/101/5/10.1063/1.4738774
10.1063/1.4738774
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