Abstract
The optical nonlocality near the Dirac point in infinite periodic metal-dielectric multilayer metamaterials is investigated through the dispersion relation analysis according to the transfer-matrix method. It is revealed that both the symmetric and asymmetric surface plasmon polariton modes present the zero nonlocal effective permittivity, and the degeneracy of these two modes results in the emergence of the Dirac point. Furthermore, the Zitterbewegung effect near the Dirac point induced by the optical nonlocality is demonstrated due to the coherent coupling between the symmetric and asymmetric modes.
Highlights
Metal-dielectric multilayer metamaterials have been studied for realizing many intriguing photonics applications such as negative refraction [1, 2], subwavelength focusing [3, 4], diffraction-free propagation [5,6,7], anomalous indefinite cavities [8], and Goos-Hanchen shifts [9]
The optical nonlocality in the Au-Al2O3 multilayer stack can be analyzed through the nonlocal effective medium theory (EMT), where the multilayer stack is regarded as bulk nonlocal effective medium with the nonlocal effective permittivity depending on both frequency and wave vector
The optical nonlocality near the Dirac point in infinite periodic metal-dielectric multilayer metamaterials has been investigated by performing the dispersion relation analysis based on the transfer-matrix method
Summary
Metal-dielectric multilayer metamaterials have been studied for realizing many intriguing photonics applications such as negative refraction [1, 2], subwavelength focusing [3, 4], diffraction-free propagation [5,6,7], anomalous indefinite cavities [8], and Goos-Hanchen shifts [9]. The electromagnetic properties of periodic metal-dielectric multilayer metamaterials are simplify described by the local effective medium theory (EMT), since the meta-atoms (unit cells) of the multilayers are in the scale much smaller than the wavelength. According to the transfer-matrix method, the exact dispersion relation of the periodic metal-dielectric multilayers is analyzed to reveal the existence of both the symmetric and asymmetric SPP modes, where zero nonlocal effective permittity is obtained. The strong optical nonlocality induced Zitterbewegung effect [19, 20] is demonstrated near the Dirac point in metal-dielectric multilayer stack, due to the coherent coupling between the symmetric and asymmetric SPP modes
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