Tightly focused properties of a partially coherent radially polarized power-exponent-phase vortex beam

Abstract

In this paper, a partially coherent beam called radially polarized multi-Gaussian Schell-model power-exponent-phase vortex beam is introduced. Both the analytical formula of the beam propagating through the high numerical aperture objective lens based on the vectorial diffraction theory, and the cross-spectral density matrix of the beam in the focal region are derived. Then, the tight focusing characteristics of partially coherent radially polarized power-exponent-phase vortex beam are studied numerically, and the intensity distribution, degree of polarization and coherence of the beams in the focusing region of different topological charge, power order, beam index and coherence width are analyzed in detail. The results show that the contour of the spot becomes clearer and smoother with the increase of beam index, and the focal fields of different structures including the flattened beam can be obtained by changing the coherence width. In addition, by changing the topological charge and power order, the intensity can gather to a point along the ring. These unique properties will have potential applications in particle capture and manipulation, especially in the manipulation of irregular particles.

Properties of focused Laguerre–Gaussian beam propagating in anisotropic ocean turbulence

“…The carrier wave carrying OAM is often referred to as vortex beams that have a wide range of applications in optical tweezers, particle manipulation, and quantum entanglement. [4][5][6][7] In particular, the efficiency and performance of vortex beam-based communication systems can be greatly improved in that the number of signal bits each photon carries is log 2 N, [8] where N is the number of OAM modes that can be available for information mulplexing, which is one of the research hotspots in the field of free-space optical communication. [9][10][11] It is worth noting that there appears to be distortion of the signal OAM mode and crosstalk between different energy states of adjacent OAM modes during the transmission of the vortex beam in turbulent medium, reducing the channel capacity of the OAM information transmission system severely, where the effect of refractive index fluctuation of turbulent medium is crucial.…”

Propagation properties of partially coherent radially polarized rotationally-symmetric power-exponent-phase vortex beams in turbulent atmosphere

“…Similarly, non-uniformly polarized beams like RP beam do a better job in turbulence transmission than linearly polarized beams [24,25], since the orthogonally polarized components of RP beam can offset the effects of turbulence on each other. Moreover, as introduced in the relevant research on partially coherent vector beams [26,27], the partially coherent RP-RSPEPVBs possess the characteristics of partially coherent beam and vector beam simultaneously, which may be more suitable for atmospheric turbulence propagation.…”

Statistical Properties of Partially Coherent Higher-Order Laguerre-Gaussian Power-Exponent Phase Vortex Beams

“…Power-exponent phase vortex (PEPV) beams are special optical vortexes with different phase velocities within the transverse dimension [1][2][3][4][5][6]. According to the intensity distribution, PEPV beams can be categorized as asymmetric and rotationally symmetric.…”