The present paper proposes a Surface Plasmon Resonance (SPR) sensor utilizing Twisted Bilayer Graphene (TBG)- Hexagonal Boron Nitride (hBN) heterostructures to enhance the Goos-Hänchen (GH) shift. The study presents a theoretical demonstration of the adjustability of GH shift via tuning the TBG twist angle, the number of TBG layers, and the thickness of hBN, respectively. The two-dimensional twisted bilayer graphene twist angle effectively promotes the sensitivity of the sensor. With a relative twist angle of 76.87°, the sensitivity of this sensor structure is remarkably enhanced to 1.8×108 μm/RIU. The outcomes of this investigation offer a theoretical underpinning for the development of new high-sensitivity biosensors.
Compared to the non-magnetic ordinary dielectrics, the
negative-index metamaterials have not only a dispersive electric
permittivity but also a dispersive magnetic permeability. The purpose of this paper is to identify the role of dispersive
magnetic permeability in nonlinear propagation of ultrashort electromagnetic pulses in metamaterials. Firstly, we derived
a generalized system of coupled three-dimensional nonlinear Schroedinger equations suitable for few-cycle pulse
propagation in the metamaterial with both nonlinear electric polarization and nonlinear magnetization, which clearly
demonstrates the role of dispersive permeability in nonlinear pulse propagation: In the linear propagation aspect, its
contribution is buried in the ordinary dispersive terms; while in the nonlinear propagation aspect, the dispersive
permeability manifests itself as a nonlinear polarization dispersion, although it is a linear parameter. Secondly, by
exemplificatively using the coupled nonlinear Schroedinger equations in the Drude dispersive model, we quantitatively
discussed the influence of dispersive permeability on pulse propagation in metamaterials.
We study the propagation property of soliton pulses in negative-index metamaterials with a nonlinear polarization, and
especially analyze the influence of the controllable self-steepening effect, which is resulted from the dispersive magnetic
permeability in negative-index metamaterials, on soliton formation and propagation. The results indicate that the
negative self-steepening effect also leads to the asymmetry of soliton pulse, the center shift and the decay of higher-order
soliton. In addition, the controllable self-steepening effect can be used to counteract the shift of soliton pulse resulted
from the third order dispersion effect to make the soliton pulse propagation without center shift to some extent.
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