Identifying Orbital Angular Momentum of Vectorial Vortices with Pancharatnam Phase and Stokes Parameters

Zhang, Dengke; Feng, Xue; Cui, Kaiyu; Liu, Fang; Huang, Yidong

doi:10.1038/srep11982

Cited by 24 publications

(27 citation statements)

References 43 publications

(61 reference statements)

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“…The average OAM charge in equation (1) can be found by examining the ratio of the z component of OAM to its energy over the transverse plane of light 22 . This is given as follows…”

Section: Resultsmentioning

confidence: 99%

“…where c is the speed of light in free space, ω is the angular frequency of light, j z is the z component of OAM density, p z is the z component of linear momentum density, and α and β are complex amplitudes of the x and y electric field components of the VVBs 22 . In fact, it is shown in the supplementary information that the average OAM charge in equation (1) is independent of the selection of polarization eigenstates of .…”

Section: Resultsmentioning

confidence: 99%

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Independent Manipulation of Topological Charges and Polarization Patterns of Optical Vortices

Yang

Chen

et al. 2016

Sci Rep

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We present a simple and flexible method to generate various vectorial vortex beams (VVBs) with a Pancharatnam phase based on the scheme of double reflections from a single liquid crystal spatial light modulator (SLM). In this configuration, VVBs are constructed by the superposition of two orthogonally polarized orbital angular momentum (OAM) eigenstates. To verify the optical properties of the generated beams, Stokes polarimetry is developed to measure the states of polarization (SOP) over the transverse plane, while a Shack–Hartmann wavefront sensor is used to measure the OAM charge of beams. It is shown that both the simulated and the experimental results are in good qualitative agreement. In addition, polarization patterns and OAM charges of generated beams can be controlled independently using the proposed method.

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“…The average OAM charge in equation (1) can be found by examining the ratio of the z component of OAM to its energy over the transverse plane of light 22 . This is given as follows…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Independent Manipulation of Topological Charges and Polarization Patterns of Optical Vortices

Yang

Chen

et al. 2016

Sci Rep

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“…As the micro-ring cavity and the scattering unit could be optimized independently, a large micro-ring cavity for a wide switching rang and a scattering unit for azimuthal polarization are adopted. By further utilizing the above special characteristics of our design, we believe that OAM modes with polarization diversity 40 41 42 , unidirectionality of emission and a much wider switching range could be achieved to bring far more potentials in applications of optical telecommunications 17 18 24 , quantum information 43 , particle manipulation 44 , and imaging 45 .…”

Section: Discussionmentioning

confidence: 96%

Integrated photonic emitter with a wide switching range of orbital angular momentum modes

Wang

Zhao

Feng

et al. 2016

Sci Rep

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Due to the nature of infinite dimensionality, the orbital angular momentum (OAM) has been considered as a new degree of freedom of light and widely expanded the scopes of substantial optical applications such as optical telecommunication, quantum information, particle manipulation and imaging. In recent years, the integrated photonic OAM emitters have been actively investigated due to both compactness and tunability. Essentially, the number of available OAM modes by dynamic switching should be large enough so that the dimensionality of OAM could be explored as much as possible. In this work, an integrated photonic emitter with a wide switching range of OAM modes is theoretically developed, numerically simulated, and experimentally verified. The independence of the micro-ring cavity and the scattering unit provides the flexibility to design the device and optimize the performance. Specifically, the dynamic switching of nine OAM modes (l = −4 ~ 4) with azimuthal polarization has been demonstrated by electrically controlled thermo-optic effect.

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“…The detailed deduction of equations (2) and (3) can be found in Appendix A. In equation (3), the derivative of ψ P± is known as the topological Pancharatnam charge [7,10]. With equations (2) and (3), the average OAM charge carried by the light beam can be fully expressed with the SAM (S 3 ) and the topological Pancharatnam charge (∂ψ P± /∂φ), which can depict the OAM states on a single Poincaré sphere as Refs.…”

Section: A Oam Of An Optical Vortex Beammentioning

confidence: 99%

“…With equations (2) and (3), the average OAM charge carried by the light beam can be fully expressed with the SAM (S 3 ) and the topological Pancharatnam charge (∂ψ P± /∂φ), which can depict the OAM states on a single Poincaré sphere as Refs. [10,33]. Thus, the corresponding geometric phase for any transformations can be conveniently identified on the same Poincaré spheres.…”

Section: A Oam Of An Optical Vortex Beammentioning

confidence: 99%

Orbital angular momentum induced by nonabsorbing optical elements through space-variant polarization-state manipulations

2018

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To manipulate orbital angular momentum (OAM) carried by light beams, there is a great interest in designing various optical elements from the deep-ultraviolet to the microwave. Normally, the OAM variation introduced by optical elements can be attributed to two terms, namely the dynamic and geometric phases. Up till now, the dynamic contribution induced by optical elements has been clearly recognized. However, the contribution of geometric phase still seems obscure, especially considering the vector vortex beams. In this work, an analytical formula is derived to fully describe the OAM variation introduced by the nonabsorbing optical elements, which perform space-variant polarization-state manipulations. It is found that the geometric contribution can be further divided into two parts: one is directly related to optical elements and the other one explicitly relies solely on the vortices before and after the transformations. Based on this result, the same OAM variation can be achieved with different combinations of the dynamic and/or geometric contributions. With numerical simulations, it is shown that transformation of the optical vortices can be fully and flexibly designed with a family of optical elements. We believe that these results are helpful to understand the effect of optical elements and offer a new perspective to design the optical elements for manipulating the OAM carried by light beams. * dkzhang@outlook.com † x-feng@tsinghua.edu.cn to the closed trajectory |a → |b → |b † J → |a † J → |a , where |a † J (|b † J ) holds the Stokes vector S a † J (b † J ) = S a(b) − 2(S a(b) · S J )S J

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Identifying Orbital Angular Momentum of Vectorial Vortices with Pancharatnam Phase and Stokes Parameters

Cited by 24 publications

References 43 publications

Independent Manipulation of Topological Charges and Polarization Patterns of Optical Vortices

Independent Manipulation of Topological Charges and Polarization Patterns of Optical Vortices

Integrated photonic emitter with a wide switching range of orbital angular momentum modes

Orbital angular momentum induced by nonabsorbing optical elements through space-variant polarization-state manipulations

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