Abstract

We propose a method to construct paraxial light fields whose transverse intensity rotates as a whole during the field propagation (spiral beams), and the total rotation angle is an integer multiple of $\pi /2$ (multiple-twisted beams). We derive analytical expressions for the field complex amplitude by utilizing an integral description of Laguerre–Gaussian beams. This method provides a straightforward way to obtain multiple-twisted spiral beams of various intensity shapes and rotation rates.

© 2019 Optical Society of America

Twisted elliptical multi-Gaussian Schell-model beams and their propagation properties

Haiyun Wang, Xiaofeng Peng, Lin Liu, Fei Wang, and Yangjian Cai
J. Opt. Soc. Am. A 37(1) 89-97 (2020)

Nonparaxial propagation of spirally polarized optical beams

Riccardo Borghi and Massimo Santarsiero
J. Opt. Soc. Am. A 21(10) 2029-2037 (2004)

Symmetric array of off-axis singular beams: spiral beams and their critical points

Yana Izdebskaya, Vladlen Shvedov, and Alexander Volyar
J. Opt. Soc. Am. A 25(1) 171-181 (2008)

Partially coherent stable and spiral beams

T. Alieva, J. A. Rodrigo, A. Cámara, and E. Abramochkin
J. Opt. Soc. Am. A 30(11) 2237-2243 (2013)

Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate

Victor V. Kotlyar, Anton A. Almazov, Svetlana N. Khonina, Victor A. Soifer, Henna Elfstrom, and Jari Turunen
J. Opt. Soc. Am. A 22(5) 849-861 (2005)