Goos–Hänchen shifts at the interfaces between left- and right-handed media

Abstract

The Goos-Hänchen shift caused by total internal reflection at the interface between two media is analyzed. For two media of the same handedness the Goos-Hänchen phase shift opposes the phase variation associated with propagation through the incident medium. The Goos-Hänchen lateral shift is in the same direction as the horizontal component of the incident energy flux. Conversely, for two media of opposite handedness the Goos-Hänchen phase shift reinforces the phase variation associated with propagation through the incident medium. The lateral shift is in the opposite direction of the horizontal component of the incident energy flux.

Negative and positive lateral shift of a light beam reflected from a grounded slab

“…The GH shift is usually proportional to the penetration depth at the order of a wavelength. Many attempts have been made to achieve large lateral shifts (positive or negative) under different circumstances, such as absorbing media [4,9], atomic resonant absorptive vapors [12,16], resonant artificial structures [7,[17][18], negative-permittivity media [19][20], negatively refractive media [21][22][23][24][25][26][27][28], dielectric slabs [8,[29][30], multi-layered structures [6,[31][32]. Recently Li [8] found that the lateral shift of a light beam passing through a lossless transmitting slab could be negative due to the interference between the reflected waves from the slab's two interfaces.…”

A Dressed-State Assisted Left-Handed Coherent Medium for High-Gain Optical Amplification

“…If the wave is incident into a lefthanded medium and then reflected, the lateral displacement, which is opposite to that in the ordinary Goos-Hänchen effect, will result from the negativity in the refractive index. Then one can demonstrate the atomic-vapor negative refraction by taking advantage of such a negative Goos-Hänchen shift effect [10,[51][52][53].…”

Propagation Characteristics in a Planar dielectric waveguide with Left-handed Medium

“…When electromagnetic waves propagates in such medium, its electric, magnetic and wave vector will form the three left-handed helical relationship, so Veselago named such medium as left-handed media. In recent years, with the negative refractive index materials of microwave synthetic has become the truth [2], the study of negative refractive index materials has become the focus in international academic physics and electromagnetism [3][4][5][6][7].In 2002, G.V.Eleftheriades in University of Toronto with his team used transmission line theory proved that in two-dimensional transmission line network load shunt inductor L and capacitor C in series consisting of a high -pass LC transmission line network under certain conditions have a negative [8][9] permittivity and negative permeability by such network elements constitute a twodimensional left-handed dielectric waveguide This paper mainly studies the propagation characteristics in planar waveguide with left-hand materials in the case of electromagnetic waves in two-dimensional, the mode of transmission with left-hand materials is analyzed theoretically, Simulation analysis has also been made on the propagation characteristics in planar waveguide with left-hand materials. Compared to traditional media planar dielectric waveguide, the planar waveguide with left-hand materials has better propagation properties.…”