Anomalous light transport induced by deeply subwavelength quasiperiodicity in multilayered dielectric metamaterials

Breakdown of Maxwell Garnett theory due to evanescent fields at deep-subwavelength scale

“…It is noteworthy that the physical mechanism of the breakdown of EMT in 1D dielectric multilayers [16][17][18][19][20][21][22][23][24][25][26][27] and 2D/3D dielectric composite structures studied here is fundamentally different. In 1D dielectric multilayers, the EMT breaks down close to the total internal reflection angle originates from tunneling effects of evanescent waves.…”

“…On the other hand, deep-subwavelength all-dielectric composite materials, where surface wave resonances are not supported, are generally believed to tightly obey the Maxwell Garnett EMT. Interestingly, very recently, Sheinfux et al [16] show the breakdown of EMT in deep-subwavelength all-dielectric multilayers, which has been numerically and experimentally demonstrated [17][18][19][20][21][22][23][24][25][26][27]. They found that the transmission through the multilayer structure depends strongly on nanoscale variations at the vicinity of the effective medium's critical angle for total internal reflection.…”

Nonlocal effective-medium theory for periodic multilayered metamaterials

“…Furthermore, it is worth pointing out that as long as the dispersion relation of the structure is obtained, our approach can generally be used to explore the nonlocal effects induced by the aperiod spatial arrangement in aperiodically ordered PMMs [44][45][46]. Another interesting application is to study the Anderson localization effects in random ordered PMMs [47][48][49].…”

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…”