Direct experimental observation of the single reflection optical Goos-Hänchen shift

We report a precise direct measurement of the Goos-H?nchen shift after one reflection off a dielectric interface coated with periodic metal stripes. The spatial displacement of the shift is determined by image analysis. A maximal absolute shift of 5.18 and 23.39 mum for TE and TM polarized light, respectively, is determined. This technique is simple to implement and can be used for a large range of incident angles.     

Energy flux and Goos-Hänchen shift in frustrated total internal reflection

Using Yasumoto and ?ishi's energy flux method, a generalized analytical formulation for analyzing the Goos-H?nchen (GH) shift in frustrated total internal reflection is provided, from which the GH shift given by Artman's stationary phase method is shown to equal the GH calculated by Renard's conventional energy flux method plus a self-interference shift. The self-interference shift, originating from the interference between the incident and reflected beams, sheds light on the asymptotic behavior of the GH shift in such optical tunneling process in term of energy flux.     

Goos-Hänchen and Imbert-Fedorov shifts of a nondiffracting Bessel beam

Goos-H?nchen (GH) and Imbert-Fedorov (IF) shifts are diffractive corrections to geometric optics that have been extensively studied for a Gaussian beam that is reflected or transmitted by a dielectric interface. Propagating in free space before and after reflection or transmission, such a Gaussian beam spreads due to diffraction. We address here the question of how the GH and IF shifts behave for a "nondiffracting" Bessel beam.     

Role of spatial coherence in Goos-Hänchen and Imbert-Fedorov shifts

We present a theory for Goos-H?nchen (GH) and Imbert-Fedorov (IF) shifts for beams of light with arbitrary spatial coherence. By applying the well-known theory of partial spatial coherence, we can calculate explicitly spatial and angular GH and IF shifts for completely polarized beams of any shape and spatial coherence. For the specific case of a Gauss-Schell source, we find that only the angular part of GH and IF shifts is affected by the spatial coherence of the beam. A physical explanation of our results is given.     

Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts

We derive the polarization-dependent displacements parallel and perpendicular to the plane of incidence for a Gaussian light beam reflected from a planar interface, taking into account the propagation of the beam. Using a classical-optics formalism we show that beam propagation may greatly affect both Goos-H?nchen and Imbert-Fedorov shifts when the incident beam is focused.     

Role of spatial coherence in Goos-Hänchen and Imbert-Fedorov shifts: comment

It is shown that the spatial Goos-H?nchen shift is greatly affected by spatial coherence. A typical example is given.     

Phase control of Goos-Hänchen shifts in a four-level quantum dot nanostructure

In this letter, phase control of the Goos-Hänchen shifts of the reflected and transmitted probe light beams through a cavity containing four-level InGaN/GaN quantum dot nanostructure is theoretically discussed. In order to achieve the wave functions and their corresponding energy levels of the mentioned quantum dot nanostructure, Schrödinger and Poisson equations must be solved in a self consistent manner for carriers (here electron) in quantum dot. It is found that the coupling field, the pumping field as well as the cycling field can enhance the GH shifts of the reflected and transmitted probe beams. The effect of relative phase and the detuning of the probe light on the GH shifts of the reflected and transmitted probe beams are also investigated. We find that the GH shifts can be switched between the large positive and negative values by adjusting the controllable parameters.     

Giant Goos-Hänchen shifts and radiation-induced trapping of Helmholtz solitons at nonlinear interfaces

Giant Goos-H?nchen shifts and radiation-induced trapping are studied at the planar boundary separating two focusing Kerr media within the framework of the Helmholtz theory. The analysis, valid for all angles of incidence, reveals that interfaces exhibiting linear external refraction can also accommodate both phenomena. Numerical evidence of these effects is provided, based on analytical predictions derived from a generalized Snell's law.     

Goos-Hänchen shift from an anisotropic metamaterial slab

We have theoretically and numerically investigated the Goos-Hänchen shift (the lateral shift) from the anisotropic metamaterial slab. The sign and degree of the shift can be determined by the choices of the electromagnetic parameters and thicknesses of slab, which is different from the case of the isotropic media. We also find that the weak lossy may produce large positive or negative lateral shift.     

Acoustic Goos-Hänchen effect

We report two models of the lateral displacement of acoustic-wave scattering on a fluid-solid interface that reveal an acoustic analog of the Goos-Hänchen effect in optics. This acoustic analog is called the acoustic Goos-Hänchen effect. Using newly proposed models, we made numerical calculations for the system of a water-Perspex interface. Specifically, in the post-critical-angle region, we observed a lateral displacement (and transition time) of the reflected P-wave with respect to the incident P-wave. The first arrival of the acoustic signal from the interface is found to be a reflected P-wave rather than the sliding-refraction P-wave usually described in traditional acoustic-logging sliding P-wave theory. For both proposed models, the effective propagation speed of the reflected P-wave along the interface depends on not only the physical properties of the interfacial media but also the incident angle. These observations are intriguing and warrant further investigation.     

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

The Goos-H?nchen shift caused by total internal reflection at the interface between two media is analyzed. For two media of the same handedness the Goos-H?nchen phase shift opposes the phase variation associated with propagation through the incident medium. The Goos-H?nchen 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-H?nchen 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.     

Large and negative Goos-Hänchen shift near the Brewster dip on reflection from weakly absorbing media

Applying Artmann's formula to a light beam in the TM state of wave polarization, we show analytically the existence of a large and negative Goos-H?nchen shift near the angle of the Brewster dip on reflection from a weakly absorbing semi-infinite medium. The shift is opposite that in the case of total internal reflection, and it can be an order of magnitude larger than a wavelength if the absorption of the reflecting medium is sufficiently weak. Examples are given, and the detectibility of the shift is discussed.     

Demonstration of a quasi-scalar angular Goos-Hänchen effect

We show experimentally that the angular Goos-H?nchen (GH) effect can be easily observed, also without employing its resonant enhancement at Brewster incidence. An s-polarized beam was used to decouple the polarization from the propagation dynamics of the beam. We found that, in this case, the angular GH effect can be strongly enhanced by increasing the angular aperture of the Gaussian beam. Our experiments suggest a route toward observing the angular GH effect for true scalar waves, such as acoustic waves and quantum matter waves.     

Phase Control of the Giant Resonant Goos-Hänchen Shift

JETP Letters - It has been demonstrated that the lateral Goos-Hänchen shift of light beams reflected and transmitted through a layered dielectric structure can be effectively controlled by the...     

Goos-Hänchen shift in bilayer graphene

The quantum Goos-Hänchen (GH) shift of an electron (massive Dirac fermion) at a potential step in bilayer graphene is investigated. We show that the GH shift depends on the step height, the kinetic energy of the electron and incident angle. It is found that the GH shift can be large (positive or negative) under the suitable conditions.     

Goos-Hänchen effect in the gaps of photonic crystals

We show the presence of the Goos-H?nchen effect when a monochromatic beam illuminates a photonic crystal inside a photonic bandgap.     

Large negative Goos-Hänchen shift from a weakly absorbing dielectric slab

It is theoretically shown that the negative Goos-H?nchen shifts near resonance, Re[k(z)d] = m pi, can be an order of magnitude larger than the wavelength for both TE- and TM-polarized beams reflected from a weakly absorbing dielectric slab if the absorption of the slab is sufficiently weak, which is different from the case for a lossless dielectric slab [Phys. Rev. Lett. 91, 133903 (2003)].     

Nonlinear Goos–Hänchen shifts of reflected light from inhomogeneous Kerr-like slabs

We investigate the Goos–Hänchen (GH) shifts of reflected light from Kerr-like slabs, whose permittivities are inhomogeneous in space as well as light intensity dependent. The GH shifts exhibit bistable, multivalued properties or a more complicated hysteretic response to the input light intensity, and the different spatial dependences of the permittivity have a great effect on the hysteretic response. The bistable or multivalued GH shifts can be modulated by various parameters, such as the angle of incidence and the thickness of slab.     

Negative Goos-Hänchen shift in periodic media

We show that, under certain conditions, a negative Goos-H?nchen shift-a longitudinal displacement of a totally internally reflected wave packet-occurs in periodic media such as waveguide arrays.