Goos–Hänchen and Imbert–Fedorov shifts: a novel perspective

Aiello, Andrea

doi:10.1088/1367-2630/14/1/013058

Cited by 121 publications

(101 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These optical and quantum effects are due to the fact that evanescent waves exist in the classical forbidden region. This intriguing shift which is always matter of scientific investigation [16][17][18][19] is, in general, a stationary shift. In this paper, we have analyzed in which situations this stationary shift becomes a dynamical shift.…”

Section: Discussionmentioning

confidence: 94%

“…Consequently, the Goos-Hänchen shift [11] is stationary in the direction of the beam propagation. The optical phenomenon in which linearly polarized light undergoes a small phase shift, δ ≈ λ, when totally internally reflected is widely investigated in litterature [12][13][14][15][16][17][18][19]. For incidence at and near critical angles [20][21][22], we find a frequency crossover in the GH shift which leads to an amplification effect, δ c ≈ √ k w 0 λ .…”

mentioning

confidence: 84%

See 1 more Smart Citation

The asymmetric Goos–Hänchen effect

Araújo¹,

Carvalho²

2013

J. Opt.

View full text Add to dashboard Cite

Abstract. We show in which conditions optical gaussian beams, propagating throughout an homogeneous dielectric right angle prism, present an asymmetric Goos-Hänchen (GH) effect. This asymmetric behavior is seen for incidence at critical angles and happens in the propagation direction of the outgoing beam. The asymmetric GH effect can be also seen as an amplification of the standard GH shift. Due to the fact that it only depends on the ratio between the wavelength and the minimal waist size of the incoming gaussian beam, it can be also used to determine one of these parameters. Multiple peaks interference is an additional phenomenon seen in the presence of such asymmetric effects.

show abstract

Section: Discussionmentioning

confidence: 94%

mentioning

confidence: 84%

The asymmetric Goos–Hänchen effect

Araújo¹,

Carvalho²

2013

J. Opt.

View full text Add to dashboard Cite

show abstract

“…Notwithstanding the great interest in the literature [11][12][13][14][15] (for clear and detailed reviews on the GH shift see Refs. [16,17]), the divergence problem of the Artmann formula was often overcome by using numerical calculations [14,18,19] to fit the experimental curves [7][8][9][10]. An analytical formula for the amplification of the GH shift at critical angle was recently proposed [14] but it is only valid for incidence at critical angles and does not explain the maximum obtained by numerical calculation for angles greater than the critical one.…”

Section: Introductionmentioning

confidence: 99%

Closed-form expression for the Goos-Hänchen lateral displacement

Araújo

Maia

2016

Phys. Rev. A

View full text Add to dashboard Cite

Abstract. The Artmann formula provides an accurate determination of the Goos-Hänchen lateral displacement in terms of the light wavelength, refractive index and incidence angle. In the total reflection region, this formula is widely used in the literature and confirmed by experiments. Nevertheless, for incidence at critical angle, it tends to infinity and numerical calculations are needed to reproduce the experimental data. In this paper, we overcome the divergence problem at critical angle and find, for Gaussian beams, a closed formula in terms of modified Bessel functions of the first kind. The formula is in excellent agreement with numerical calculations and reproduces, for incidence angles greater than critical ones, the Artmann formula. The closed form also allows one to understand how the breaking of symmetry in the angular distribution is responsible for the difference between measurements done by considering the maximum and the mean value of the beam intensity. The results obtained in this study clearly show the Goos-Hänchen lateral displacement dependence on the angular distribution shape of the incoming beam. Finally, we also present a brief comparison with experimental data and other analytical formulas found in the literature.

show abstract

“…This shift, which is probably one of the clearest manifestations of the evanescent nature of light, represents an additional contribution to the geometrical optical path predicted by the Snell law [13,14]. This quantum effect is still subject of careful and broad investigation and continues to stimulate new discussions [15][16][17][18][19][20][21][22]. Of particular interest tothe study presented in this paper, it is the GH shift frequency crossover [23].…”

Section: Introductionmentioning

confidence: 99%

Axial dependence of optical weak measurements in the critical region

Araújo

Maia

2015

J. Opt.

View full text Add to dashboard Cite

Abstract. The interference between optical beams of different polarizations plays a fundamental role in reproducing the optical analog of the electron spin weak measurement. The extraordinary point in optical weak measurements is represented by the possibility to estimate with great accuracy the Goos-Hänchen (GH) shift by measuring the distance between the peak of the outgoing beams for two opposite rotation angles of the polarizers located before and after the dielectric block. Starting from the numerical calculation of the GH shift, which clearly shows a frequency crossover for incidence near to the critical angle, we present a detailed study of the interference between s and p polarized waves in the critical region. This allows to determine in which conditions it is possible to avoid axial deformations and reproduce the GH curves. In view of a possible experimental implementation, we give the expected weak measurement curves for gaussian lasers of different beam waist sizes propagating through borosilicate (BK7) and fused silica dielectric blocks.

show abstract

Goos–Hänchen and Imbert–Fedorov shifts: a novel perspective

Cited by 121 publications

References 18 publications

The asymmetric Goos–Hänchen effect

The asymmetric Goos–Hänchen effect

Closed-form expression for the Goos-Hänchen lateral displacement

Axial dependence of optical weak measurements in the critical region

Contact Info

Product

Resources

About