Abstract

Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.

© 2023 Optica Publishing Group

Multiaxial super-geometric mode laser

Jing Pan, Zhaoyang Wang, Ziyu Zhan, Xing Fu, Yijie Shen, and Qiang Liu
Opt. Lett. 48(7) 1630-1633 (2023)

Measurement of acceleration and orbital angular momentum of Airy beam and Airy-vortex beam by astigmatic transformation

Brijesh Kumar Singh, Roei Remez, Yuval Tsur, and Ady Arie
Opt. Lett. 40(22) 5411-5414 (2015)

Super bursts of the orbital angular momentum in astigmatic-invariant structured LG beams

A. Volyar, E. Abramochkin, Y. Akimova, and M. Bretsko
Opt. Lett. 47(21) 5537-5540 (2022)

Quantum entanglement by a beam splitter analogous to laser mode transformation by a cylindrical lens

Y. F. Chen, M. X. Hsieh, H. T. Ke, Y. T. Yu, H. C. Liang, and K. F. Huang
Opt. Lett. 46(20) 5129-5132 (2021)

Transformation of spin and orbital angular momentum in second-harmonic generation process by the near-surface layer of isotropic nonlinear medium

V. A. Diukov, K. S. Grigoriev, and V. A. Makarov
Opt. Lett. 48(7) 1834-1837 (2023)