Influence of External Magnetic Field on a Symmetrical Gyrotropic Slab in Terms of Goos-Hã„nchen Shifts

Abstract

Abstract-A detailed study on the influence of an external magnetic field on a symmetrical gyrotropic slab in terms of Goos-Hänchen (GH) phase shifts is presented. The GH phase shifts at both boundaries of the slab are calculated, and the guidance condition is explained by means of them. It is found that the external magnetic field destroys the spatial symmetry of the field distribution, and we use the concepts of 'penetration' distance as well as effective thickness to illustrate the phenomenon. In term of the GH phase shifts, the spatial distribution of the time-average Poynting power is also derived. We find that influenced by the external magnetic field, the positive and negative time-average Poynting power along the waveguide direction can exist simultaneously in the gyrotropic medium, depending on the transverse position.

High-Efficiency Wireless Energy Transmission Using Magnetic Resonance Based on Negative Refractive Index Metamaterial

“…Through this mechanism, the magnetic field radiated by the coupling loop of the source device is focused to the coupling loop of the receiving device. Namely, because the radiation loss in the wireless energy transmission reduces by focusing the magnetic field through the negative permeability metamaterial structures, the efficiency of energy transmission can be further improved at the same transmission distance [15][16][17][18][19].…”

Lateral Displacement of an Electromagnetic Beam Reflected From a Grounded Indefinite Uniaxial Slab

“…The concept of Goos-Hänchen lateral shift has been expanded to partial reflection at arbitrary incident angle [10][11][12][13]. In order to get a large or negative lateral shift, many attempts have been made with various materials and configurations, such as dielectric slabs [14][15][16][17], metal surfaces [18][19][20], dielectricchiral surface [21], multilayered structures [22], metallic gratings [23], and photonic crystals [24]. Recently, left-handed metamaterial with negative permeability and permittivity has attracted a lot of attention due to their extraordinary electromagnetic characteristics [25][26][27][28][29][30][31][32], and negative lateral shift has been observed in left-handed materials [33][34][35][36][37].…”

Magnetic Interaction Between Two Non-Magnetic Particles Migrating in a Conductive Fluid Induced by a Strong Magnetic Field-an Analytical Approach

“…Information such as magnetic field distribution, interaction between the field and materials can be easily obtained [16,17]. For interparticle magnetic forces, the magnetic dipole-dipole attractive force has been well understood and measured under different conditions both analytically and experimentally by means of ferromagnetic materials [18,19].…”

“…The viscosity of the melt after imposing a magnetic field can be obtained according to the Stokes' law and Equations (11) to (16). Therefore, in the following calculations, we adopted Equation (17) to evaluate the magnetic field effect on the melt viscosity (effective viscosity). …”