Goos–Hänchen and Imbert–Fedorov beam shifts: an overview

  title={Goos–H{\"a}nchen and Imbert–Fedorov beam shifts: an overview},
  author={Konstantin Y. Bliokh and Andrea Aiello},
  journal={Journal of Optics},
We consider reflection and transmission of polarized paraxial light beams at a plane dielectric interface. The field transformations taking into account a finite beam width are described based on the plane-wave representation and geometric rotations. Using geometrical-optics coordinate frames accompanying the beams, we construct an effective Jones matrix characterizing spatial-dispersion properties of the interface. This results in a unified self-consistent description of the Goos–Hanchen and… 
Goos-Hänchen and Imbert-Fedorov shifts of higher-order Laguerre-Gaussian beams reflected from a dielectric slab.
It is found that the generating parameter of the higher-order beam families strongly affects the shifts and reshaping of the incident wavefront with fixed order and azimuthal index changes the linear Goos-Hänchen shift up to one half of the beam radius, both negative and positive.
Numerical calculation of beam shifts for higher-order Laguerre-Gaussian beams upon transmission
Abstract We study numerically the spatial and angular contributions to Goos-Hanchen (GH) and Imbert-Fedorov (IF) shifts for higher-order ( | l | ≥ 1 ) Laguerre-Gaussian (LG) beams upon transmission
Upper-limited angular Goos-Hänchen shifts of Laguerre-Gaussian beams.
The angular Goos-Hänchen shift of vortex beam is investigated theoretically when a Laguerre-Gaussian beam is reflected by an air-metamaterial interface and the upper limit is found to be half of the divergence angle of the incident beam.
Tunable Goos–Hänchen and Imbert–Fedorov shifts
Abstract The optical beam shift is a spatial displacement of an optical beam in geometrical optics that particularly occurs when a laser beam reflects from an interface. In this paper, the dependence
Optimized weak measurements of Goos-Hänchen and Imbert-Fedorov shifts in partial reflection.
The ability to amplify, controllably decouple or combine the beam shifts via weak measurements may prove to be valuable for understanding the different physical contributions of the effects and for their applications in sensing and precision metrology.
Goos–Hänchen and Imbert–Fedorov shifts of a laser beam reflected from ITO under complex fields
Abstract Goos–Hanchen (GH) and Imbert–Fedorov (IF) shifts are investigated for P-polarized and S-polarized laser beams reflected from an ITO surface under complex fields. The lateral shifts and
Observation of a Goos-Hänchen-like Phase Shift for Magnetostatic Spin Waves.
By means of time-resolved scanning Kerr microscopy, this work is able to directly detect a phase shift between the incoming and reflected wave and shows that this phase shift naturally occurs for spin waves in the dipolar regime.
From Imbert–Fedorov shift to topologically spin-dependent walking off for highly confining fiber-guided twisted light
  • Liang Fang, Jian Wang
  • Physics
    Journal of Optics
  • 2021
Light–matter interaction at dielectric interfaces usually manifests as spin-dependent correction to light propagation, known as classical Imbert–Fedorov (IF) shift or photonic spin Hall effect, ruled
Photonic spin Hall effect in guided-wave resonance structure with consideration of beam propagation
We present a unified formalism about spatial and angular Goos-Hänchen (GH) and Imbert-Fedorov (IF) shifts. When a horizontally polarized Gaussian beam is reflected from guided-wave resonance
Shift vector as the geometric origin of beam shifts
Goos-Hanchen (GH) and Imbert-Fedorov (IF) shifts are lateral and transverse displacements of a wavepacket reflecting off a surface. A dramatic real-space manifestation of wavepacket phases, they have


Goos–Hänchen and Imbert–Fedorov shifts of an electromagnetic wave packet by a moving object
We present a solution to the problem of reflection and refraction of a polarized Gaussian beam at the interface between the transparent medium and the moving object based on Minkowski’s constitutive
Goos-Hanchen and Imbert-Fedorov shifts for Hermite-Gauss beams.
These are the first quantitative estimates of the shifts for Hermite-Gauss beams as per the authors' knowledge and are relevant for all cases of slab geometry.
Goos–Hänchen shift for higher-order Hermite–Gaussian beams
Abstract.We study the reflection of a Hermite–Gaussian beam at an interface between two dielectric media. We show that unlike Laguerre–Gaussian beams, Hermite–Gaussian beams undergo no significant
Goos–Hänchen and Imbert–Fedorov shifts: a novel perspective
When a beam of light is reflected by a smooth surface its behavior deviates from geometrical optics predictions. Such deviations are quantified by the so-called spatial and angular Goos?H?nchen (GH)
Generalized shifts and weak values for polarization components of reflected light beams
The simple reflection of a light beam of finite transverse extent from a homogeneous interface gives rise to a surprisingly large number of subtle shifts and deflections which can be seen as
Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet.
  • K. Bliokh, Y. Bliokh
  • Physics, Medicine
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2007
A solution to the problem of partial reflection and refraction of a polarized paraxial Gaussian beam at the interface between two transparent media and a diffraction effect of angular transverse shifts of the reflected and refracted beams is described.
Oblique section of a paraxial light beam: criteria for azimuthal energy flow and orbital angular momentum
Comparison of the intensity distributions in a transverse cross section, orthogonal to the beam propagation axis, and in an oblique section, inclined to the axis by some acute angle, provides
Lateral Displacement of Optical Beams at Multilayered and Periodic Structures
Many planar structures, including multilayered media and periodic configurations of the optical-grating type, are capable of supporting an electromagnetic field of the leaky-wave form. By exciting
Spin-orbit interaction of a photon in an inhomogeneous medium
As light propagates in an optically inhomogeneous medium, bending and twisting of the beam cause the rotation of the polarization plane. This is the well-known Rytov-Vladimirsky effect or Berry
Goos-Hänchen and Imbert-Fedorov shifts for leaky guided modes
The Goos-Hanchen shift for a light beam totally reflected on the external interface of a dielectric thin film deposited on a high-index substrate can be strongly enhanced through some specific