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

@article{Bliokh2012GoosHnchenAI, title={Goos–H{\"a}nchen and Imbert–Fedorov beam shifts: an overview}, author={Konstantin Y. Bliokh and Andrea Aiello}, journal={Journal of Optics}, year={2012}, volume={15}, pages={014001} }

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…

## 317 Citations

Goos-Hänchen and Imbert-Fedorov shifts of higher-order Laguerre-Gaussian beams reflected from a dielectric slab.

- Medicine, PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2018

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

- Physics
- 2017

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.

- Physics, MedicineOptics express
- 2018

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

- PhysicsOptics Communications
- 2019

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.

- Physics, MedicineOptics express
- 2016

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

- Physics
- 2020

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.

- Medicine, PhysicsPhysical review letters
- 2018

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

- PhysicsJournal 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

- Physics
- 2021

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

- Physics
- 2019

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…

## References

SHOWING 1-10 OF 159 REFERENCES

Goos–Hänchen and Imbert–Fedorov shifts of an electromagnetic wave packet by a moving object

- Physics
- 2012

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.

- Physics, MedicineJournal of the Optical Society of America. A, Optics, image science, and vision
- 2012

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

- Physics
- 2011

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

- Physics, Mathematics
- 2012

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

- Physics
- 2012

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.

- Physics, MedicinePhysical 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

- Physics
- 2009

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

- Physics
- 1971

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

- Physics
- 1992

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

- Physics
- 2005

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…