2016
DOI: 10.1364/ao.55.009049
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Managing focal fields of vector beams with multiple polarization singularities

Abstract: We explore the tight focusing behavior of vector beams with multiple polarization singularities, and analyze the influences of the number, position, and topological charge of the singularities on the focal fields. It is found that the ellipticity of the local polarization states at the focal plane could be determined by the spatial distribution of the polarization singularities of the vector beam. When the spatial location and topological charge of singularities have even-fold rotation symmetry, the transverse… Show more

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Cited by 9 publications
(9 citation statements)
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“…The total intensity distributions for different symmetries are shown in the left column, and the middle and right columns show the intensity distributions after a vertical and horizontal polarizer, respectively. The insets are corresponding numerical simulation results according to the vector diffraction integral theory 36 , 37 . In experiment, in order to directly present the focal field, we employ a Lens of f = 10 cm to focus the vector field.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The total intensity distributions for different symmetries are shown in the left column, and the middle and right columns show the intensity distributions after a vertical and horizontal polarizer, respectively. The insets are corresponding numerical simulation results according to the vector diffraction integral theory 36 , 37 . In experiment, in order to directly present the focal field, we employ a Lens of f = 10 cm to focus the vector field.…”
Section: Resultsmentioning
confidence: 99%
“…In order to elaborately generate multiple focal spots which has independent controllability in the focal plane, it is necessary to appropriately partition the incident beam and then apply different phase modulations. Here, we utilize the vector diffraction integral theory, of which the general focus formula can be expressed as 36 , 37 where, A = − kf /(2 π ), A 1 ( θ , ϕ ) is the amplitude of the incident beam, A 2 ( θ , ϕ ) is a 3 × 3 matrix related to the structure of objective, Δ α ( θ , ϕ ) is the phase distribution of the incident beam, p x , p y and p z is a matrix unit vector about the polarization of incidence light, θ is the converge angle given by sin θ = rNA /( Rn t ), NA is the numerical aperture of the objective, n t is the refractive index of the immersion medium, k is the wave number, ( r , ϕ ) and are the cylindrical coordinates in the pupil and focal planes, respectively.…”
Section: Methodsmentioning
confidence: 99%
“…We can generate a presupposed vector beam with an arbitrary polarization distribution just by loading a calculated phase map on the SLM. For example, the vector beams with multiple polarization singularities can be created by setting [50]…”
Section: Generating Arbitrary Vector Beamsmentioning
confidence: 99%
“…For splitting single CVBs into multiple identical beams, one-dimensional diffraction gratings are well proven [14]. It should be noted that the appropriate arrangement of multiple polarization singularities inherent to CVBs allows one to control the polarization distributions of the focal fields while the intensity maintains unchanged [15].…”
Section: Introductionmentioning
confidence: 99%