Unveiling the photonic spin Hall effect with asymmetric spin-dependent splitting

Zhou, Xinxing; Ling, Xiaohui

doi:10.1364/oe.24.003025

Cited by 27 publications

(13 citation statements)

References 39 publications

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“…Another important attribute of the SHEL that originates from r s = r p is that the splitting occurs symmetrically in shift (|δ + | = |δ − |) under an arbitrarily polarized incidence. This result is opposed to the conventional wisdom that a circularly or elliptically polarized incidence is split asymmetrically into LCP and RCP [26][27][28][29][30] .…”

Section: The Analytical Proof Of Incident-polarization-independent Shiftcontrasting

confidence: 85%

“…A variety of nanophotonic devices and metamaterials have been proposed to enlarge the spin-dependent shift [11][12][13][14][15][16][17][18] , to increase the efficiency 19 , and to exploit the SHEL to identify geometric parameters 20,21 , electric and magnetic properties 22,23 , and chemical reactions 24,25 with high precision. Except for the studies of asymmetric SHEL, in which the magnitude of the shift is spin-dependent [26][27][28][29][30] , most previous studies have focused only on horizontally or vertically polarized incidence. By symmetry, a horizontally or vertically polarized light is split at the optical interface into equal amplitudes of left circularly polarized (LCP) and right circularly polarized (RCP) beams, which shift by the same magnitude but with opposite signs 6 .…”

Section: Introductionmentioning

confidence: 99%

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Spin Hall effect of light under arbitrarily polarized and unpolarized light

Kim,

Lee,

Rho

2021

Preprint

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The spin Hall effect of light (SHEL), which refers to a spin-dependent and transverse splitting at refraction and reflection phenomena, inherently depends on the polarization states of the incidence. Most of the previous research have focused on a horizontally or vertically polarized incidence, in which the analytic formula of the shift is well-formulated and SHEL appears symmetrically in both shift and intensity. However, the SHEL under an arbitrarily polarized or unpolarized incidence has remained largely unexplored. Whereas the SHEL under other polarization is sensitive to incident polarization and is asymmetrical, here we demonstrate that the SHEL is independent of the incident polarization and is symmetrical in shift if Fresnel coefficients of the two linear polarization are the same. The independence of the shift with respect to the incident polarization is proved both analytically and numerically. Moreover, we prove that under an unpolarized incidence composed of a large number of completely random polarization states, the reflected beam is split in half into two circularly polarized components that undergo the same amount of splitting but in opposite directions. This result means that under unpolarized incidence, the SHEL occurs exactly the same as under horizontally or vertically polarized incidence. We believe that the incident-polarization-independent SHEL can broaden the applicability of the SHEL to cover optical systems in which polarization is ill-defined.

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Section: The Analytical Proof Of Incident-polarization-independent Shiftcontrasting

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Spin Hall effect of light under arbitrarily polarized and unpolarized light

Kim,

Lee,

Rho

2021

Preprint

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“…In general, both the energy and the displacement of reflected beam are spin dependent. Therefore, the two spin components are asymmetrically separated 26 . This is different from the case of θ i < θ C , where the energies of two spin components are equal, and their displacements are equal in magnitude but opposite in sign.…”

Section: Resultsmentioning

confidence: 99%

The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface

Guan

et al. 2017

Sci Rep

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Optical spin splitting has a promising prospect in quantum information and precision metrology. Since it is typically small, many efforts have been devoted to its enhancement. However, the upper limit of optical spin splitting remains uninvestigated. Here, we investigate systematically the in-plane spin splitting of a Gaussian beam reflected from a glass-air interface and find that the spin splitting can be enhanced in three different incident angular ranges: around the Brewster angle, slightly smaller than and larger than the critical angle for total reflection. Within the first angular range, the reflected beam can undergo giant spin splitting but suffers from low energy reflectivity. In the second range, however, a large spin splitting and high energy reflectivity can be achieved simultaneously. The spin splitting becomes asymmetrical within the last angular range, and the displacement of one spin component can be up to half of incident beam waist w 0/2. Of all the incident angles, the spin splitting reaches its maximum at Brewster angle. This maximum splitting increases with the refractive index of the “glass” prism, eventually approaching an upper limit of w 0. These findings provide a deeper insight into the optical spin splitting phenomena and thereby facilitate the development of spin-based applications.

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“…To obtain the reflected filed, we can establish the relationship between incident and reflected angular spectrum by using the coordinate rotation. From the boundary condition, with the relationship between the incident and reflected wave-vector k rx = −k i x , k ry = −k iy , the reflected angular spectrum can be given by [40]…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Since then, a lot of investigations on SHEL have been carried out at air-glass interface [30]- [36]. IF spatial shift of Gaussian beam reflected from an air-prism interface at the Brewster angle was studied and discussed [37], and some new spin-dependent splitting phenomena, such as spin angular-splitting [38], scattering-related spin-splitting [39] and asymmetric spin-splitting [40], [41], were discovered. In recent years, some researchers have begun to study the transaction properties by considering the SHEL and IPSSL simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Spin-Dependent Splitting Rotation of a Gaussian Beam Reflected From an Air–Glass Interface

et al. 2019

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We investigate the spin-dependent splitting systematically by considering spin Hall effect of light and in-plane spin separation of light simultaneously, when a Gaussian beam is reflected from an air-glass interface. It is revealed that there exhibits a spindependent splitting rotation with the increase of the polarization angle, and the rotation direction and speed can be controlled by the incident angle. Remarkably, with the polarization angle increasing from 0 • to 90 • , the splitting rotates 180 • clockwise in total when the incident angle is less than Brewster angle, whereas it rotates an angle under 90 • counterclockwise first and then clockwise return to the original position when the incident angle is larger than Brewster angle. Their initial rotation speeds of splitting to x r direction both become larger as the incident angle approaches to Brewster angle, therefore when the incident angle is equal to Brewster angle, the splitting only forms a 90 • clockwise rotation. These general laws of spin-dependent splitting rotation are demonstrated by instances, and the rotation behaviors are considered as a result of various proportions of transverse spin separation and in-plane spin separation. This research provides a feasible way to manipulate the photon spin in optical nanodevice.

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Unveiling the photonic spin Hall effect with asymmetric spin-dependent splitting

Cited by 27 publications

References 39 publications

Spin Hall effect of light under arbitrarily polarized and unpolarized light

Spin Hall effect of light under arbitrarily polarized and unpolarized light

The upper limit of the in-plane spin splitting of Gaussian beam reflected from a glass-air interface

Spin-Dependent Splitting Rotation of a Gaussian Beam Reflected From an Air–Glass Interface

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