Direct measurement of the optical Goos-Hänchen effect in lasers

Bretenaker, Fabien; Floch, A. Le; Dutriaux, L.

doi:10.1103/physrevlett.68.931

Cited by 152 publications

(64 citation statements)

References 18 publications

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“…1 confirmed Artmann's prediction for incidence far enough from the critical region [3,5,[7][8][9][10].…”

Section: Introductionsupporting

confidence: 72%

“…and, consequently, the discrepancy between the Artmann formula and the experimental data in the critical region [9]. Notwithstanding the great interest in the literature [11][12][13][14][15] (for clear and detailed reviews on the GH shift see Refs.…”

Section: Introductionmentioning

confidence: 99%

“…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%

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Closed-form expression for the Goos-Hänchen lateral displacement

Araújo

Maia

2016

Phys. Rev. A

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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.

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“…1 confirmed Artmann's prediction for incidence far enough from the critical region [3,5,[7][8][9][10].…”

Section: Introductionsupporting

confidence: 72%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Closed-form expression for the Goos-Hänchen lateral displacement

Araújo

Maia

2016

Phys. Rev. A

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“…(8) which is proportional to function sin(2k 2z d)/2k 2z d tends to vanish and the lateral shift is dominated by the second term of Eq. (8). Hence, Eq.…”

Section: Lateral Shifts Of An Grounded Uniaxial Slabmentioning

confidence: 91%

“…The Goos-Hänchen effect [1,2], which usually refers to the lateral shift of a totally reflected beam displaced from the path of geometrical optics, has been widely analyzed both theoretically [3][4][5] and experimentally [6][7][8][9]. The concept of Goos-Hänchen lateral shift has been expanded to partial reflection at arbitrary incident angle [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Lateral Displacement of an Electromagnetic Beam Reflected From a Grounded Indefinite Uniaxial Slab

Kong¹,

Wu²,

Huang³

et al. 2008

PIER

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Abstract-A theoretical analysis of the lateral shift for an electromagnetic beam reflected from an uniaxial anisotropic slab coated with perfect conductor is presented. The analytic expression for the lateral shift is derived by using the stationary-phase approach, and the conditions for negative and positive lateral shifts are discussed. It is shown that the lateral shift depends not only on the slab thickness and the incident angle, but also on the constitutive parameters of the uniaxial medium. Enhancement and suppression of lateral shift are observed and are attributed to the interference between the reflected

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Observable tachyons in the tunneling regime?

Stahlhofen

Druxes

1998

Annalen der Physik

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Some aspects are discussed of experiments reporting superluminal velocities of electromagnetic waves propagating across a photonic barrier. Emphasis is put on optical tunneling in frustrated total internal reflection while using the propagation of evanescent modes as guiding idea. This allows to distinguish between obvious and hidden time scales in tunneling by monitoring nonspecular deformations of the incoming beam. The possibility of using specially designed systems for a detailed study of these deformations is addressed.

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Direct measurement of the optical Goos-Hänchen effect in lasers

Cited by 152 publications

References 18 publications

Closed-form expression for the Goos-Hänchen lateral displacement

Closed-form expression for the Goos-Hänchen lateral displacement

Lateral Displacement of an Electromagnetic Beam Reflected From a Grounded Indefinite Uniaxial Slab

Observable tachyons in the tunneling regime?

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