Generalized Ring Pearcey Beams with Tunable Autofocusing Properties

Abstract

In this paper, generalized ring Pearcey beams are proposed theoretically and their corresponding generation is demonstrated experimentally by use of the double‐phase method. Generalized ring Pearcey beams evolve into circular or elliptical ring Pearcey beams, depending on the elliptical parameter. It is shown that the autofocusing properties of such beams can be effectively controlled by adjusting the elliptical parameter and the spatial distribution factor. To perform a more comprehensive investigation, the radially polarized forms of the beams are also realized in experiments. It is found that for both cases of vector and scalar, the peak intensity of the beams at the autofocusing plane undergo a dramatic increase as compared with that at the initial plane. Finally, by taking optical trapping as an example, it is proved that generalized ring Pearcey beams could be a productive instrument for industrial applications.

Virtual Source of a Swallowtail Beam

“…which is also governed by Equation (13). By solving Equation ( 13), assuming z = 0 and comparing the coefficient with Equation( 14), we can obtain…”

“…[12] The form-invariant and the auto-focusing features during propagation make it applicable in many aspects. [13][14][15][16] According to the unique geometric structure, other five catastrophe lights determined by its potential function have been established in theory, which are given in increasing order: swallowtail, butterfly, elliptical umbilic, hyperbolic umbilic, and parabolic umbilic. [17][18][19] According to the far-field divergent angle expression [20] 𝜃 =…”

The Propagation Dynamics of the Symmetric Pearcey Gaussian Beam in the Kerr Medium

“…[14,15] The selffocusing beams can produce a large transverse gradient intensity in the focusing region, giving it a large gradient force for particles. [16] In recent years, many studies on ring Pearcey beams [17,18] andvector Pearcey beams [19,20] have shown us the great potential of Pierce beams. The properties of self-focusing beams also make them highly practical in the field of biology, [12,21] for example, using the focused region of the beam to manipulate the intended region of a biological organ can preserve the integrity of the previous region to a large extent.…”

A Rotationally Symmetric Multifocal Pearcey Beam with a Polygonal Profile

“…[ 7 ] Besides, the generalized ring Pearcey beam was proposed and experimentally realized in scalar and the radial polarized forms, which proved that the beam has remarkable autofocusing characteristics. [ 8 ] And then, the phase of the generalized ring Pearcey is used to measure the topological charges of optical vortex beams, and the modulus and sign of the topological charges are reflected by the number and orientation of the fringes in the diffraction patterns. [ 9 ] These researches mean specific wavefront modulations can create certain novel propagation properties of the Pearcey beam.…”