A generalized approach to beam wave interaction with a dielectric interface

Antar, Yahia M. M.; Boerner, W.-M.

doi:10.1007/bf00900326

Cited by 7 publications

(7 citation statements)

References 8 publications

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“…Most prominently perhaps the logarithmic derivative of the transmission coefficient in Eqs. (17) and (36), which is a familiar term from reflection. Interestingly, it is not this shared term which explain the very similar result for critical incidence.…”

Section: Discussionmentioning

confidence: 99%

“…We also show the angular GH shift as defined in (17) and the virtual shift alone. From this plot it is obvious that the virtual and real angular GH shift are competing effects, which leads to cancellations for the total shift.…”

Section: Angular Gh On Transmissionmentioning

confidence: 99%

“…Finding the maximum determines the peak position of the electric field as π/2 − ; the magnitude of the FF is then given by the difference between this peak position and the angle expected from Snell's law: (17). In fact, on considering all prefactors the term containing t (1) a is common to both formulas.…”

Section: Fresnel Filteringmentioning

confidence: 99%

“…In beam optics, on the other hand, the angular shift had been found to occur in the same setting as the spatial GH shift, but for incidence below the critical angle [16,17]. As the angular GH shift is a deflection of the beam's propagation direction A lightbeam is reflected from a region of higher refractive index.…”

Section: Introductionmentioning

confidence: 99%

“…For generic incidence Tureci and Stone did not give an explicit analytic result which could be compared to the sum ∆ GH v + ∆ GH a [see (12) and (17)]. In the remainder of this section we therefore derive an expression for the magnitude of the Fresnel filtering for generic incidence.…”

mentioning

confidence: 99%

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Are Fresnel filtering and the angular Goos–Hänchen shift the same?

Götte

Shinohara

Hentschel

2013

J. Opt.

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Abstract. The law of reflection and Snell's law are among the tenets of geometrical optics. Corrections to these laws in wave optics are respectively known as the angular Goos-Hänchen shift and Fresnel filtering. In this paper we give a positive answer to the question of whether the two effects are common in nature and we study both effects in the more general context of optical beam shifts. We find that both effects are caused by the same principle, but have been defined differently. We identify and discuss the similarities and differences that arise from the different definitions.

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Section: Discussionmentioning

confidence: 99%

Section: Angular Gh On Transmissionmentioning

confidence: 99%

Section: Fresnel Filteringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Are Fresnel filtering and the angular Goos–Hänchen shift the same?

Götte

Shinohara

Hentschel

2013

J. Opt.

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Accurate calculation of Goos-Hänchen shift at critical angle for complex laser beam profiles using beam propagation method

Shaaban

Hameed

Gomaa

et al. 2018

Optik

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Non-specular bistability at a delocalized nonlinear interface

Nasalski

1997

Journal of Modern Optics

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Bounded beams reflected at the interface between two dielectric media can undergo lateral displacements, focal shifts, angular deviations, changes in the beam waist size and complex amplitude. These effects are examined for beams incident from a linear medium onto a nonlinear defocusing Kerr-type material, where the nonlinear medium changes are supposed to be homogeneously non-local. An exact solution to the reflection problem is numerically iterated by a sequence of solutions to the respective linear problems and a rigorous first-order analysis of the non-specular phenomena is also given. The beam-interface interaction is described in terms of the Wigner distribution function invariant with respect to the nonspecular ABCD transformation. T h e results show that, for some specified beam parameters, the beam reflection may exhibit bistable switching, which is accompanied by bistable changes in all the non-specular effects. IntroductionThe nonlinear interface (NLI) is commonly known as a plane interface between a region of larger linear index of refraction that is not intensity dependent and a region of smaller nonlinear index of refraction which is Kerr-type intensity dependent. When a light beam is incident from the linear region at an angle smaller than the critical angle of reflection, the N L I persists in the partial transmission (PT) state, otherwise the total internal reflection (TIR) occurs. Owing to induced changes in the nonlinear refractive index the switching from T I R to P T and vice versa can be achieved by increasing or reducing the incident beam power. Since the N L I does not involve any resonator element it offers the possibility of ultrafast broad-band photonic switching, limiting, scanning and other signal processing operations.Much work has been done over the last two decades to model and understand the complexity of such a seemingly simple structure. Among other interesting phenomena the potential bistable switching has attracted a great deal of attention in the first place. Optical bistability at the N L I was first predicted by Kaplan [ l ] who developed a plane wave analytic theory of reflection and transmission at the NLI. Further experimental and theoretical research [2-81 on the interaction of spatially localized beams with the N L I appeared rather inconclusive and did not confirm the bistable behaviour of the N L I in two-dimensional (2D) and threedimensional (3D) geometries. Instead, multiple thresholds with low switching contrast and beam breakup in the nonlinear local self-focusing Kerr-type medium were observed.

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A generalized approach to beam wave interaction with a dielectric interface

Cited by 7 publications

References 8 publications

Are Fresnel filtering and the angular Goos–Hänchen shift the same?

Are Fresnel filtering and the angular Goos–Hänchen shift the same?

Accurate calculation of Goos-Hänchen shift at critical angle for complex laser beam profiles using beam propagation method

Non-specular bistability at a delocalized nonlinear interface

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