Unitary transformation in polarization of vector beams via biaxial cascade crystals

Sun, Xinde; Liu, Lanqin; Zhu, Qihua; Huang, Wanqing; Zhang, Ying; Wang, Wenyi; Chen, Yuan; Geng, Yaoxiang

doi:10.1088/2040-8986/ab60c2

Cited by 4 publications

(7 citation statements)

References 29 publications

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“…This non-uniform spin and orbital angular momentum distribution of the light field could generate the optical curl force, as pointed out in Ref. 27 . Our studies demonstrate that changing the angle of the crystals and the SoP of incident beam can control the spatial structure of the polarization, making it feasible to tailor the optical force on a particle.…”

Section: The Extended Research For the Angular Momentummentioning

confidence: 77%

“…In the section above, we have demonstrated the light field distribution in the theoretical analysis of Ref. 27 . According to the light field distribution, the angular momentum (AM) distribution of the light field can be deduced, which has influence on the interaction between the light and the particle.…”

Section: The Extended Research For the Angular Momentummentioning

confidence: 93%

“…is the radius of the refracted ring beam beyond the crystal. Through the second lens, the light field in the output plane of our system can be expressed as 27 , e x e y T represents the SoP of input beam, for instance, [1 i] T and [0 1] T denote the left-handed circular and y-linear polarization, respectively. The transformation matrix T has been demonstrated to be a Unitary matrix satisfying T * • T = I with arbitrary rotation angle α , as shown in Fig.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…According to the previous studies by Berry and Phelan 25 , 28 , the Fourier transform of the electric field , which is transformed by conical diffraction at the plane with the length of Z from FIP can be expressed as 27 is the dimensionless transverse wavevector of plane waves . is the Fourier transform of the input electric field .…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Based on the characters of the conical refraction, in our previous research in 2017 26 , one kind of structured light beam with periodical polarization and phase singularities was theoretically and experimentally obtained from a setup consisting of conical refraction transformation and 4f-system. This beam was verified to be one kind of full Poincaré beams in the research 27 , and the effects of using cascade biaxial crystals on the manipulation of polarization was investigated. The Jones matrix for this transformation was presented to be a Unitary matrix independent of the angle of two crystals, resulting in the manipulation of SoP with the invariant intensity of near-field.…”

Section: Introductionmentioning

confidence: 95%

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Unitary transformation for Poincaré beams on different parts of Poincaré sphere

Sun

Geng

Zhu

et al. 2020

Sci Rep

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We construct an experimental setup, consisting of conical refraction transformation in two biaxial cascade crystals and 4f-system, to realize Unitary transformation of light beam and the manipulation of Poincaré beams on the different parts of Poincaré sphere. The spatial structure of the polarization can be controlled by changing the polarization of the incident beam or rotating the angle between these two crystals. The beams with different SoPs covering the full-Poincaré sphere, part-Poincaré sphere and one point on the sphere are generated for the different angles between crystals. The Unitary transformation of light beam is proposed in the experiment with the invariant intensity distribution. Subsequently, the spin angular momentum is derived from the distribution of polarization measured in our experiment. Moreover, the conversion between orbital angular momentum and spin angular momentum of light beam is obtained by changing the angle between crystals. And the conversion progress can also be influenced by the polarization of incident beam. We realized the continuous control of the spatial structure of the angular momentum density, which has potential in the manipulation of optical trapping systems and polarization-multiplexed free-space optical communication. Up to now, as an intrinsic and fundamental vectorial nature of light, the SoP has attracted wide attention owing to its important role in propagation behaviors, focusing properties, and light-matter interactions. In 2010, Beckely introduced and demonstrated one kind of novel vector beams, named full Poincaré (FP) beams, in the experiment 1,2. One dominant characteristic of FP beams is that the states of polarization (SoPs) in the crosssection cover the entire surface of Poincaré sphere. As a result, any SoP on Poincaré sphere can be found in the FP beams Due to the special SoP distribution, The FP beams have potential for many practical applications in beam shaping 34 , manipulation of particles 5 , generating transverse spin angular momentum 6-8 and significantly reducing turbulence-induced scintillation 9,10. High-order FP beams have been proposed to have benefit in achieving a smooth flat-top transverse profile with steep edge roll-off 11,12. The orders herein are determined by the number of times that the SoP covers all possible polarization states over a Poincaré sphere. Accordingly, there are numerous methods and devices proposed in previous researches for generating the FP beams to achieve further applications, including spatial light modulators 13-15 , uniaxial crystals 16,17 , q-plates and dielectric metasurface 18-20 , geometric phase control inside a laser cavity 21 , and so forth. Conical refraction was demonstrated to be a method to manipulate the SoP of beams as an intrinsic property of biaxial crystals. The cascade conical diffraction phenomenon was comprehensively studied in detail elsewhere 22-25. The further manipulation of SoP were realized, with the multiple-concentric-rings intensity distribution. Based on the characters of the con...

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Section: The Extended Research For the Angular Momentummentioning

confidence: 77%

Section: The Extended Research For the Angular Momentummentioning

confidence: 93%

Section: Theoretical Analysismentioning

confidence: 99%

Section: Theoretical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

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Unitary transformation for Poincaré beams on different parts of Poincaré sphere

Sun

Geng

Zhu

et al. 2020

Sci Rep

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Partially coherent conical refraction promises new counter-intuitive phenomena

Mylnikov

Dudelev

Рафаилов

et al. 2022

Sci Rep

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In this paper, we extend the paraxial conical refraction model to the case of the partially coherent light using the unified optical coherence theory. We demonstrate the decomposition of conical refraction correlation functions into well-known conical refraction coherent modes for a Gaussian Schell-model source. Assuming randomness of the electrical field phase of the input beam, we reformulated and significantly simplified the rigorous conical refraction theory. This approach allows us to consider the propagation of light through a conical refraction crystal in exactly the same way as in the classical case of coherent radiation. Having this in hand, we derive analytically the conical refraction intensity both in the focal plane and in the far field, which allows us to explain and rigorously justify earlier experimental findings and predict new phenomena. The last include the counterintuitive effect of narrowing of the conical refraction ring width, disappearance of the dark Poggendorff’s ring in the Lloyd’s plane, and shift of Raman spots for the low-coherent conical refraction light. We also demonstrate a universal power-law dependence of conical refraction cones coherence degree on the input correlation length and diffraction-free propagation of the low-coherent conical refraction light in the far field.

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Arbitrary spatially variant polarization by unitary transformations in a common path interferometer

Olvera-Santamaría¹,

Aguilar²,

Ostrovsky³

2022

J. Opt.

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We introduce a novel, common path interferometric technique, for generating hybrid spatially variant polarized fields and Poincare beams. The technique is based on unitary polarization transformations employing a single spatial light modulator in a Sagnac-like common path interferometer. This technique allows generating arbitrary fields as a superposition of orthogonal elliptically polarized vortex basis with opposite handedness. We demonstrate the generation of such fields theoretically and verify it experimentally for azimuthal and spiral polarization. As an example of application, we generated a radially polarized ring-shaped field and characterize it by Stokes polarimetry.

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Unitary transformation in polarization of vector beams via biaxial cascade crystals

Cited by 4 publications

References 29 publications

Unitary transformation for Poincaré beams on different parts of Poincaré sphere

Unitary transformation for Poincaré beams on different parts of Poincaré sphere

Partially coherent conical refraction promises new counter-intuitive phenomena

Arbitrary spatially variant polarization by unitary transformations in a common path interferometer

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