Elliptic-symmetry vector optical fields
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In this article, an elliptic-symmetry vector optical field was proposed, which is more flexible than the cylindrical vector fields for controlling the spatial structure of polarization and for engineering the focusing fields.Abstract:
We present in principle and demonstrate experimentally a new kind of vector fields: elliptic-symmetry vector optical fields. This is a significant development in vector fields, as this breaks the cylindrical symmetry and enriches the family of vector fields. Due to the presence of an additional degrees of freedom, which is the interval between the foci in the elliptic coordinate system, the elliptic-symmetry vector fields are more flexible than the cylindrical vector fields for controlling the spatial structure of polarization and for engineering the focusing fields. The elliptic-symmetry vector fields can find many specific applications from optical trapping to optical machining and so on.read more
Citations
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Generation of arbitrary vector fields based on a pair of orthogonal elliptically polarized base vectors
TL;DR: It is found that the additional degree of freedom 2χ provided by arbitrary vector field with hybrid polarization allows one to control the spatial structure of polarization and to engineer the focusing field.
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Polarization singularities: Progress, fundamental physics, and prospects
TL;DR: Polarization singularities as mentioned in this paper describe the points where the state of polarization is indeterminate, revealing the polarization topology in vectorial optical fields, which include two-and three-dimensional topologies such as C-points, V-point, L-lines, Mobius strips, links and knots.
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Focus engineering based on analytical formulae for tightly focused polarized beams with arbitrary geometric configurations of linear polarization.
TL;DR: This paper derives and builds integrated analytical formulae for calculating the tightly focused field of polarized beams with arbitrary geometric configurations of linear polarization, and obtains a tunable three-dimensional optical cage, multifoci, optical needles, and channels in the focal volume of a high-numerical-aperture objective lens.
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Manipulation of dielectric Rayleigh particles using highly focused elliptically polarized vector fields.
TL;DR: It is shown that the additional degree of freedom provided by the elliptically polarized vector field allows one to control the spatial structure of polarization, to engineer the focusing field, and to tailor the optical force and torque on a dielectric Rayleigh particle.
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Focus shaping by tailoring arbitrary hybrid polarization states that have a combination of orthogonal linear polarization bases.
TL;DR: It is demonstrated that, apart from the orientation of the local polarization state, another two degrees of freedom including the local ellipticity and the handedness in the beam cross section can be used in focus shaping.
References
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Electromagnetic Diffraction in Optical Systems. II. Structure of the Image Field in an Aplanatic System
B. Richards,Emil Wolf +1 more
TL;DR: In this article, an investigation of the structure of the electromagnetic field near the focus of an aplanatic system which images a point source is made, and the results are illustrated by diagrams and in a tabulated form based on data obtained by extensive calculations on an electronic computor.
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Cylindrical vector beams: from mathematical concepts to applications
TL;DR: An overview of the recent developments in the field of cylindrical vector beams is provided in this paper, where the authors also discuss the potential of using these beams in other fields.
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Focusing of high numerical aperture cylindrical-vector beams.
TL;DR: It is shown that, in the particular case of a tightly focused, radially polarized beam, the polarization shows large inhomogeneities in the focal region, while the azimuthally polarized beam is purely transverse even at very high numerical apertures.
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Trapping metallic Rayleigh particles with radial polarization
TL;DR: Numerical studies show that optical tweezers using radial polarization can stably trap metallic particles in 3-dimension due to the spatial separation of the gradient force and scattering/absorption forces.
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Alternative formulation for invariant optical fields: Mathieu beams
TL;DR: A class of invariant optical fields that may have a highly localized distribution along one of the transverse directions and a sharply peaked quasi-periodic structure along the other and are described by the radial and angular Mathieu functions is presented.