Observation of Goos-Hänchen shifts in metallic reflection

Abstract

We report the first observation of the Goos-Hänchen shift of a light beam incident on a bare metal surface. This phenomenon is particularly interesting because the Goos-Hänchen shift for p polarized light in metals is negative and much bigger than the positive shift for s polarized light. The experimental result for the measured shifts as a function of the angle of incidence is in excellent agreement with theoretical predictions. In an energy-flux interpretation, our measurement shows the existence of a backward energy flow at the bare metal surface when this is excited by a p polarized beam of light.

Enhancement of four reflection shifts by a three-layer surface-plasmon resonance

“…We consider the three-layer system glass-gold-air. This is the familiar Kretschmann-Raether configuration [12]: the light beam comes from the prism of glass and reflects with incident angle θ at the interface with air, where there is a thin film of gold with thickness d. In our anaysis the prism of glass has relative permittivity ǫ 0 = 2.19; the thin film of gold has complex relative permittivity: ǫ 1 = −29.02 + 2.03i for a wavelength λ = 830 nm [9]; the air has relative permittivity ǫ 2 = 1.The s-wave and p-wave reflection coefficients r s and r p of this three-layer system can be written in terms of generalized Fresnell equations [12] r s = r 01 s + r 12 s e 2iδ 1 + r 01 s r 12 s e 2iδ ,whereare the reflection coefficient at the 01 and 12 interfaces, andare the z components of the wavevectors of the light. Notice that k z1 gives the ratio between the complex phase parameter δ which appears in Eqs.…”

Optical Effects Induced by Bloch Surface Waves in One-Dimensional Photonic Crystals

“…After this, the Goos-Hänchen effect was discovered and extensively studied for electromagnetic waves propagating in various media [31][32][33][34][35], including surface plasmon polaritons at the boundary of a metal film [36]. A Goos-Hänchen shift significantly increases at resonances of the angular dependence of the reflection coefficient phase.…”

Advanced x-ray multilayer waveguide optics

“…Fig. 1.11(a) [48,50,52,53] shows the Goos-Hänchen effect at an interface between a material with n 1 and air with n 0 . When an incident beam with angle α i hits on the surface of the material n 1 , the reflected beam is not immediately reflected into air at point P ' 0 .…”