Abstract

The interaction of two singular Lissajous lines emergent from a polychromatic vector beam is studied. It is shown that singular Lissajous lines disappear with propagation; meanwhile Lissajous singularities take place. The handedness reversal, the changes in the shape of Lissajous figures, and the degree of polarization of Lissajous singularities, as well as the creation and annihilation of a single singularity, may appear by varying the control parameters. In addition, the transformation of the shape of line $h=0$, the creation and annihilation of pairs of Lissajous singularities not only with opposite topological charge and same handedness, but also with same degree of polarization, take place with propagation.

© 2017 Optical Society of America

Composite polarization singularities in superimposed Laguerre-Gaussian beams beyond the paraxial approximation

Yamei Luo and Baida Lü
J. Opt. Soc. Am. A 27(3) 578-584 (2010)

Lissajous singularities

David A. Kessler and Isaac Freund
Opt. Lett. 28(2) 111-113 (2003)

Lissajous singularities in Young’s interference experiment

Wenrui Miao, Taco D. Visser, and Greg Gbur
Opt. Express 32(1) 813-824 (2024)

Electric and magnetic polarization singularities of first-order Laguerre–Gaussian beams diffracted at a half-plane screen

Yamei Luo, Zenghui Gao, Bihua Tang, and Baida Lü
J. Opt. Soc. Am. A 30(8) 1646-1653 (2013)

Propagation of spectral Stokes singularities of stochastic electromagnetic beams through an astigmatic lens

Hongwei Yan and Baida Lü
J. Opt. Soc. Am. B 27(3) 375-381 (2010)