Simple technique for measuring the Goos–Hänchen effect with polarization modulation and a position-sensitive detector

Gilles, H.; Girard, Sylvain; Hamel, J.

doi:10.1364/ol.27.001421

Cited by 62 publications

(41 citation statements)

References 8 publications

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“…This confirms that only the field in the vicinity of the optical vortex determines the C--line shift, and that the Gaussian envelope is less relevant. We note that, in our experiment, we did not have to use a very sensitive position detection method such as a split detector in combination with a lock--in amplifier as is common in beam--shift experiments [11], because the vortex core position can be determined with very high accuracy. More than 60 years ago Wolter [12], suggested that the nodal line of a pair of plane waves [13] should be easier to detect than the centroid of an optical beam; our experimental results confirm that suggestion.…”

Section: Discussionmentioning

confidence: 99%

An experiment on the shifts of reflected C-lines

Löffler¹,

Nye²,

Hannay³

2014

J. Opt.

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Löffler et al., An experiment on the shifts of reflected C--lines 2 Abstract An experiment is described that tests theoretical predictions on how C--lines incident obliquely on a surface behave on reflection. C--lines in a polarised wave are the analogues of the optical vortices carried by a complex scalar wave, which is the usual model for describing light and other electromagnetic waves. The centre of a laser beam that carries a (degenerate) C--line is shifted on reflection by the well--known Goos--Hänchen and Imbert--Fedorov effects, but the C--line itself splits into two, both of which are shifted longitudinally and laterally; their shifts are different from that of the beam centre. To maximise the effect to be measured, internal reflection in a glass prism close to the critical angle was used. In a simple situation like this two recently published independent theories of C--line reflection overlap and it is shown that their predictions are identical. The measured differences in the lateral shifts of the two reflected C--lines are compared with theoretical expectations over a range of incidence angles. IntroductionWave dislocations [1,2] or optical vortices as they are now called, lines of zero disturbance, are features in the complex scalar fields commonly used to represent light. The phase circulates around them in the manner of a vortex. They occur generically, that is, they appear naturally in any general monochromatic scalar field. However, in the vector electromagnetic field that fully describes light, including its polarization, the end of the electric vector at each point describes a polarization ellipse, which collapses to zero only at special points; zeros are not generic. A feature in a vector wavefield that is generic and may be thought of as the counterpart of the line vortex in scalar waves is a line where the polarization ellipse is a circle, a CT--line (T for true). The polarization ellipse observed on a screen is not this but its projection. Points appear on the screen, C--points, where the observed projected polarization is a circle, and as the screen is moved parallel to itself the points trace out lines, C--lines, in space. It is these C--lines that are the concern of this paper.Previous papers [3][4][5] examined theoretically what happens when a laser beam containing a C--line is incident at an angle on a single plane interface between two different media. The usual Fresnel coefficients cannot be used directly here because they apply to a simple plane wave. Instead, the first of these theoretical papers and the last pair describe alternative schemes, each being a slightly different idealization of the core of the beam and each having its own advantages. The two schemes overlap, however, for a suitable simple beam, and this case is considered here -the experiment thereby acts to confirm both. It suffices to describe this overlap case by one of the two schemes-we choose the differentiated plane wave (DPW) approach and relate it to the other scheme briefly in an Appendix.Löffler et al., An ...

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Section: Discussionmentioning

confidence: 99%

An experiment on the shifts of reflected C-lines

Löffler¹,

Nye²,

Hannay³

2014

J. Opt.

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“…In the study reported in [22] . The use of a two-dimensional position-sensitive detector made it possible for Pillon et al [24] under conditions of a single total internal reflection to measure not only the longitudinal Goos-Hänchen shift, but also the much-smallerin-magnitude transverse Fedorov-Imbert shift.…”

Section: Spatial and Angular Shifts Incident To Refraction And Reflecmentioning

confidence: 96%

“…In [22] a single longitudinal Goos-Hänchen shift was measured using a one-dimensional position-sensitive detector. This method made it possible to determine with an accuracy of hundreds of nanometers the difference in the longitudinal shift for light polarized in the plane of incidence (р-polarization) and perpendicular to the plane of incidence (s-polarization).…”

Section: Spatial and Angular Shifts Incident To Refraction And Reflecmentioning

confidence: 99%

Coherent Light at the Interface Between Two Media

Кундикова

2016

Russ Phys J

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Reflection and refraction of coherent polarized radiation at the interface between two media are considered. It is shown that deviations from the well-known laws of geometrical optics are possible under certain conditions. The causes of such a deviation are considered.Keywords: Goos-Hänchen shift, optical Magnus effect, spin and orbital angular momenta, spin-orbit interaction of a photon, optical Hall effect.

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“…In addition to simple beam position monitoring, a few interesting applications of PSDs are worth citing: angle sensors [31,32], interferometry and phase measurements [25], Fourier transform spectrometry [33], and refractive index measurements [26,34]. PSDs have even been used for vortex beam calibration [35] or for measuring the Goos-Hänchen effect [36].…”

Section: Principlementioning

confidence: 99%

Transverse pseudo-nonlinear effects measured in solid-state laser materials using a sensitive time-resolved technique

et al. 2012

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We present a detailed study of the Baryscan technique, a new efficient alternative to the widespread Z-scan technique which has been demonstrated [Opt. Lett. 36:8, 2011] to reach among the highest sensitivity levels. This method is based upon the measurement of optical nonlinearities by means of beam centroid displacements with a position sensitive detector and is able to deal with any kind of lensing effect. This technique is applied here to measure pump-induced electronic refractive index changes (population lens), which can be discriminated from parasitic thermal effects by using a time-resolved Baryscan experiment. This method is validated by evaluating the polarizability variation at the origin of the population lens observed in the reference Cr 3+ :GSGG laser material.

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Simple technique for measuring the Goos–Hänchen effect with polarization modulation and a position-sensitive detector

Cited by 62 publications

References 8 publications

An experiment on the shifts of reflected C-lines

An experiment on the shifts of reflected C-lines

Coherent Light at the Interface Between Two Media

Transverse pseudo-nonlinear effects measured in solid-state laser materials using a sensitive time-resolved technique

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