Pancharatnam–Berry optical lenses

Yu, Hao; Zhou, Ziyuan; Qi, Yongle; Zhang, Xinfang; Wei, Qi‐Huo

doi:10.1364/josab.36.00d107

Cited by 21 publications

(16 citation statements)

References 42 publications

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“…Therefore, we can obtain:

d Φ / ​ d x = 2 π r / ​ (λ_{0} \sqrt{r^{2} + f^{2}})

. [ 56 ] Finally, the relationship between LC lens with focal length f , the PB phase and the director orientation of the LC molecules can be correlated and explicitly given by Equation ().

\begin{matrix} Φ = 2 θ = \frac{2 π}{λ_{0}} (\sqrt{r^{2} + f^{2}} - f) \end{matrix}

…”

Section: Design Principlesmentioning

confidence: 99%

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Design, Fabrication, and Applications of Liquid Crystal Microlenses

Chen

Hou

Shu-qing

et al. 2021

Advanced Optical Materials

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Microlenses and microlens arrays are one of the indispensable components in modern optical systems ranging from imaging and beam shaping to polarization control and switchable 2D/3D displays. Among them, the liquid crystal microlenses (LCMs) with size below 1 mm have attracted more and more attention due to their stimuli‐responsiveness and tunability in focal length and polarization. Compared with microlenses based on inorganic binary optics, diffractive optical elements, or metasurface, LCMs are more cost‐effective and can be easily tuned. In this paper, an in‐depth review of the design principles, fabrication techniques, emerging applications, and recent advances of LCMs and arrays is presented, aiming to clarify the characteristics, limitations, and challenges in LCMs design and fabrication. This review may provide directions for solving those challenges, and expand the applications of LCMs.

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“…Therefore, we can obtain:

d Φ / ​ d x = 2 π r / ​ (λ_{0} \sqrt{r^{2} + f^{2}})

. [ 56 ] Finally, the relationship between LC lens with focal length f , the PB phase and the director orientation of the LC molecules can be correlated and explicitly given by Equation ().

\begin{matrix} Φ = 2 θ = \frac{2 π}{λ_{0}} (\sqrt{r^{2} + f^{2}} - f) \end{matrix}

…”

Section: Design Principlesmentioning

confidence: 99%

“…Such distribution conversely reduces the efficiency of PB lens, which is particularly prominent at low f ‐number. [ 56 ] Therefore, how to reduce the step size has a vital role in the PB lens design and fabrication.…”

Section: Design Principlesmentioning

confidence: 99%

Design, Fabrication, and Applications of Liquid Crystal Microlenses

Chen

Hou

Shu-qing

et al. 2021

Advanced Optical Materials

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“…This case is discussed in Ref. [14]. We may consider a third particular case, when C = 0 and L = π, which, in principle, is not substantially different from the general situation, because there is still a leakage wave and there is a change of polarization with respect to the input, but we will discuss this case in more detail in Section 4.…”

Section: A Geometrical Phase Optical Component Based On a General Retmentioning

confidence: 99%

Geometrical Phase Optical Components: Measuring Geometric Phase without Interferometry

Arteaga

Bendada

2020

Crystals

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Optical components that are based on Pancharatnam–Berry phase feature a polarization-dependent diffraction that can be used to fabricate lenses and gratings with unique properties. In recent years, the great progress made in the fabrication of the metasurfaces that are required for these optical components has lowered their cost and has made them widely available. One of the often-overlooked properties of optical components based on geometrical phases (GPs) is that, contrary to dynamical phases, their phase can be measured while using a polarimetric technique without the need to resort to interferometry methods. This is possible because the Pancharatnam–Berry phase is not controlled by an optical path difference; it results from a space variant polarization manipulation. In this work, we apply Mueller matrix microscopy in order to measure the geometrical phase of GP lenses and polarization gratings. We show that a single space resolved Mueller matrix measurement with micrometric resolution is enough to obtain a full characterization phase-profile of these GP-based optical components and evaluate their performance.

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“…The geometric phase of the nanoslit lies in the two plasmonic resonant modes under vertical and horizontal linear polarizations (VLP and HLP) having different phase retardations, which is similar to birefringent materials such as liquid crystals [47]. The optical field distribution and the transmission spectrum of the metasurface under circular polarization basis are simulated by employing the CST Studio Suite package, where the periodic boundary conditions are used along x and y directions for the unit cell.…”

Section: Design Of Ring-shaped Plasmonic Metasurfacementioning

confidence: 99%

Generation of Nondiffracting Vector Beams with Ring-Shaped Plasmonic Metasurfaces

2019

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Nondiffracting Bessel, Mathieu and Weber vector beams are generated by using the ring-shaped plasmonic geometric metasurfaces. The nondiffracting vector beam is produced by the superposition of two off-axis right-handed and left-handed circularly polarized nondiffracting scalar beams described by the Whittaker integral, which are simultaneously generated by the single metasurface with the ring-shaped phase profile. The polarization states of the generated nondiffracting vector beams are analyzed by the Stokes parameters and the orbital angular momentum states are measured by the beam interference. Besides, the self-healing properties of nondiffracting vector beams are further demonstrated, showing that not only the beam profiles but also the polarization states can be recovered behind the small opaque obstacle. The demonstrated ring-shaped plasmonic metasurfaces provide a compact and efficient platform to produce complex nondiffracting vector beams and pave the way to many promising applications related to spin and orbital angular momentum conversion, quantum information processing, optical manipulation, and optical communication.

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Pancharatnam–Berry optical lenses

Cited by 21 publications

References 42 publications

Design, Fabrication, and Applications of Liquid Crystal Microlenses

Design, Fabrication, and Applications of Liquid Crystal Microlenses

Geometrical Phase Optical Components: Measuring Geometric Phase without Interferometry

Generation of Nondiffracting Vector Beams with Ring-Shaped Plasmonic Metasurfaces

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