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   <subfield code="a">Magnetic Coupling Effect on Nonlinear Properties in Negative Index Metamaterials with a Kerr Nonlinearity</subfield>
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   <subfield code="a">We investigate magnetic coupling effect on nonlinear electromagnetic properties in a three-dimensional negative index metamaterial constituted by arrays of conducting wires and split-ring resonators embedded into a Kerr nonlinear dielectric. Numerical results show that the switches of nonlinear electromagnetic properties between right-handed and left-handed properties depend closely on magnetic coupling strength, which can be divided into several different coupling regions according to the angular frequency of incident light and the nonlinear types (focused or defocused) of the dielectric. These properties may be instructive for designing optimizely composite metamaterials with negative refraction and provide various routes to manipulating light.</subfield>
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