Analytical description of sub-diffraction dark spot

Li, Chuankang; Li, Yuzhu; Li, Yuhang; Liu, Xin; Zhan, Zhengyi; Hao, Xiang; Kuang, Cuifang; Xu, Long

doi:10.1016/j.optcom.2021.127295

Cited by 3 publications

(4 citation statements)

References 32 publications

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“…Optical waves carrying orbital angular momentums (OAMs) have been applied in optical manipulation, microscopy, quantum optics, and information encoding 1 since its first discovery by Allen et al 30 years ago. 2 To expand the controllability of optical vortices, efforts have been made to modify the doughnutshaped intensity distribution of the vortex beams, such as using the interference of Laguerre-Gaussian (LG) beams in a Mach-Zehnder interferometer to rotate optically trapped particles, 3 generating tiny dark spot diffraction of nonzero LG laser beams by an opaque disk, 4 generating continuously adjustable vortex beams by coaxial or small-angle interference, 5 using laser beams of different wavelengths incoherently overlaid to produce a subdiffraction dark spot, 6 or generating concentric multirings by compound spiral phase plates. 7 An important feature of the optical vortex beams is that the beam axis marks a singularity in the optical phase, and the amplitude of light becomes zero.…”

Section: Introductionmentioning

confidence: 99%

“…30 years ago 2 . To expand the controllability of optical vortices, efforts have been made to modify the doughnut-shaped intensity distribution of the vortex beams, such as using the interference of Laguerre–Gaussian (LG) beams in a Mach–Zehnder interferometer to rotate optically trapped particles, 3 generating tiny dark spot diffraction of nonzero LG laser beams by an opaque disk, 4 generating continuously adjustable vortex beams by coaxial or small-angle interference, 5 using laser beams of different wavelengths incoherently overlaid to produce a subdiffraction dark spot, 6 or generating concentric multirings by compound spiral phase plates 7 …”

Section: Introductionmentioning

confidence: 99%

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Characteristics of a Gaussian focus embedded within spiral patterns in common-path interferometry with phase apertures

Tan

2023

Adv. Photon. Nexus

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A phase-only method is proposed to transform an optical vortex field into desired spiral diffractioninterference patterns. Double-ring phase apertures are designed to produce a concentric high-order vortex beam and a zeroth-order vortex beam, and the diffracted intensity ratio of two beams is adjustable between 0 and 1. The coherent superposition of the two diffracted beams generates a brighter Airy spot (or Poisson spot) in the middle of the spiral pattern, where the singularity for typical vortex beam is located. Experiments employing circular, triangular, and rectangular phase apertures with topological charges from 3 to 16 demonstrate a stable, compact, and flexible apparatus for vortex beam conversion. By adjusting the parameters of the phase aperture, the proposed method can realize the optical Gaussian tweezer function and the optical vortex tweezer function simultaneously along the same axis or switch the experimental setup between the two functions. It also has potential applications in light communication through turbulent air by transmitting an orbital angular momentum-coded signal with a concentric beacon laser.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Characteristics of a Gaussian focus embedded within spiral patterns in common-path interferometry with phase apertures

Tan

2023

Adv. Photon. Nexus

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“…The study provides a method to obtain various charming shapes of the focusing intensity which may determine the trapping effects. At the same time, it may be widely used in optical microscopy [16][17][18][19], imaging [20][21][22], material processing [23,24] and other fields [25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Tight focusing of high-order polarized anomalous vortex beam

Xu¹,

Qin²,

Ji³

et al. 2022

Laser Phys.

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Based on the vector Debye theory, the tight focusing properties of a high-order polarized anomalous vortex (HPAV) beam are studied. The corresponding mathematical expressions of the HPAV beam are derived theoretically. We accomplish the inner and outer gear shapes of the focusing intensity where the number of the gear tooth can be modulated by polarization order. The results show that the focusing gear intensity can be flexibly modulated by initial polarization azimuth which may determine the trapping effects. Various charming focusing field patterns can be used to capture two kinds of different refractive indices particles simultaneously. The compactness of the intensity distribution can be freely adjusted by the HPAV beam topological charges and polarization order. The focal spot size, which is far beyond the Rayleigh diffraction limitation can be achieved. It may be expected to have potential applications in optical microscopy, imaging, optical telecommunication and other fields.

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“…In recent years, the tightly focused characteristics of radially and azimuthally polarized beams become a research hotspot [7][8][9][10]. Its unique properties have important applications in the fields of electron acceleration [11][12][13], particle capture [14,15] and high-resolution imaging [16,17]. Tightly focused radially polarized beam will produce a strong axial component electric field near the optical axis [18].…”

Section: Introductionmentioning

confidence: 99%

Primary aberrations in tightly focused polarized anomalous vortex beams

Xu¹,

Qin²,

Ji³

et al. 2022

Laser Phys.

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Based on the Richards Wolf vector diffraction theory, the intensity profiles of the radially and azimuthally polarized anomalous vortex beams focused by a high numerical aperture (NA) lens in the presence of primary aberration are obtained. The effects of the primary aberration coefficient on the intensity distribution, longitudinal field and the quality of the aberrated focused field through calculating the Strehl ratio under various polarized input beams are analyzed. The results show that spherical aberration destroys the rotational symmetry of the focused intensity about the optical axis. Coma will shift the focal spot which gradually presents an obvious comet shape. Astigmatism will elongate the focal spot. Meanwhile, defocus technology on compensating aberrations is studied. The results have potential applications in the design and assembly of high NA systems or overcoming aberrations in the future.

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Analytical description of sub-diffraction dark spot

Cited by 3 publications

References 32 publications

Characteristics of a Gaussian focus embedded within spiral patterns in common-path interferometry with phase apertures

Characteristics of a Gaussian focus embedded within spiral patterns in common-path interferometry with phase apertures

Tight focusing of high-order polarized anomalous vortex beam

Primary aberrations in tightly focused polarized anomalous vortex beams

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