Nonlocal effective-medium theory for periodic multilayered metamaterials

Abstract

Spatial-dispersion (nonlocal) effects are non-negligible in periodic multilayered metamaterials under certain specific conditions, which cannot be completely understood based on the local effective-medium theory, even though the metamaterials are constructed by deep subwavelength meta-atoms. Here, we present a simple yet robust effective-medium model for such media in which the nonlocal effects are properly considered. Our proposed nonlocal model is established by the analysis of the dispersion relation of the effective medium without any expansion-based approximation, which is applicable for description of the optical behavior of the multilayered metamaterials even under critical conditions, and works well for both TE and TM polarized waves. We believe our model will be a powerful tool for the investigation of electromagnetic nonlocality in the realm of metamaterials and subwavelength optics.

Ultra-thin midwavelength infrared absorber using bismuth based planar thin film metamaterials

“…Recently, lithography-free planar thin-film metamaterials have been proposed as a means of tackling the above-mentioned challenges, [24][25][26][27][28] owing to their ultra-thin total thickness and ease of fabrication steps without demanding any lithography process. One of the most common architecture is based on a metal-insulator-metal (MIM) planar cavity.…”

Anomalous transmission and Anderson localization for alternating propagated and evanescent waves at the deep-subwavelength scale

“…[16][17][18][19][20][21][22] More extensive deep-subwavelength structures including periodic, aperiodically ordered, and modified-Fibonacci multilayers were investigated, and the high order nonlocal effects were properly considered to describe the anomalous optical behavior. [23][24][25][26] More interestingly, on introducing disorder in the periodic potential, Anderson localization of the electron's wavefunction always occurs due to the interference between multiple scattering of the electron by disorder, which is fundamental and ubiquitous in various mesoscopic systems from sound waves, matter waves to EM waves. [27][28][29][30][31][32][33] Moreover, the photons were demonstrated as a versatile analogy system to stimulate the intriguing quantum phenomena in solid-state physics.…”

“…16–22 More extensive deep-subwavelength structures including periodic, aperiodically ordered, and modified-Fibonacci multilayers were investigated, and the high order nonlocal effects were properly considered to describe the anomalous optical behavior. 23–26…”

Large omnidirectional mid-infrared photonic bandgap in a one-dimensional ternary photonic crystal consisting of isotropic dielectric, elliptical metamaterial and plasma

“…Over the past decade, a kind of all-dielectric loss-free metamaterials called elliptical metamaterials (EMMs) have attracted immense interest due to their special iso-frequency curves (IFCs) [46][47][48][49][50][51][52]. Different from circular IFCs of isotropic dielectrics, IFCs of EMMs are ellipses under transverse magnetic (TM) polarization [49].…”