Nonreciprocal Goos–Hänchen effect at the reflection of electromagnetic waves from the one-dimensional magnetized ferrite photonic crystals

Abstract

Leveraging the traditional transfer matrix and stationary phase methods, the nonreciprocal Goos–Hänchen (GH) phenomena for the electromagnetic waves reflected at the surface of the one-dimensional photonic crystals with ferrite layers and dielectric layers are investigated numerically. The GH effect (the peak of the lateral shift value up to over 200 times the wavelength) produced by the forward and backward incidence of electromagnetic waves under the transverse electric wave is identified to arise at significantly different frequency positions in the terahertz (THz) regime, whereas the transverse magnetic wave produces almost no GH effect under the same condition. Based on such a nonreciprocal phenomenon, the effect of the incident angle on the nonreciprocal properties is covered initially, for every 20° increase in the angle of the incident TE wave, the frequency span at which the two GH shift peaks emerge will decrease by 0.1 THz. In addition, the thicknesses of dielectric layers are modified separately, and distinct sensitivities of them to the nonreciprocal phenomenon are displayed. Lastly, through the regulation of the external magnetic fields of ferrite layers, the nonreciprocal effect can be selectively presented in multiple forms, which provides a novel pathway to design nonreciprocal sensors.

Coexistence of giant Goos–Hänchen shift and high reflectance in Dirac semimetal based multilayered structure

“…Therefore, we choose to use the transfer matrix method (TMM) to calculate the reflectance coefficient of our designed multilayered structure. 49–52 We only consider the transverse electric (TE) polarized wave as the incident wave and the calculation of the GH shift under the transverse magnetic (TM) polarized wave can be treated similarly. The transfer matrix of each layer in the overall multilayered structure can be expressed as M k , and the overall transfer matrix can be obtained as follows:Here, β k = 2π d k n k cos θ k / λ 0 and , where n k , d k , θ k are the refractive index, thickness and refractive angle of the k th layer, respectively.…”

Giant and nonreciprocal photonic spin Hall effect in asymmetric multilayered structure with bulk Dirac semimetal

“…In addition, Rashidi et al combined the phase-change material, Ge 2 Sb 2 Te 5 (GST) and a 1DPC to achieve the different absorption along two opposite propagation directions, whose maximum difference between two opposite directions may reach up to 0.5 [33]. Shi et al proved that a magnetized ferrite photonic crystal has the nonreciprocal GH shift and it can be modulated by the angle of incidence, which offers new insights for the design of the directional dependent angle sensors [34]. Wu et al discussed the nonreciprocal transmission in a Weyl semimetal slab.…”

Temperature controllable Goos–Hänchen shift and high reflectance of monolayer graphene induced by BK7 glass grating

“…Goos-Hänchen (GH) shift refers to the optical phenomenon in which the reflected beam has a lateral displacement with respect to the incident beam when the beam is reflected at the interface between two different media [1][2][3]. Its manipulation is essential in the fundamental optoelectronic applications and the substantial efforts have been made towards this direction by using the candidates with electrical or magnetic field dependent optical properties [4][5][6][7][8][9][10][11][12]. For example, Luo et al proposed a scheme to tune the GH shift in the metal-insulator-semiconductor structure by an external voltage bias [13].…”