Two-dimensional asymmetric Laguerre-Gaussian diffraction-free beams

Wei Ping Zhong*, Zhengping Yang, Milivoj Belić, Wen Ye Zhong

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We find asymmetric diffraction-free Laguerre-Gaussian solutions of the two-dimensional paraxial wave equation in free space. They are constructed by the Laguerre polynomials and trigonometric functions, and described by the radial and angular mode numbers, and modulation depth. Different optical field distributions of the asymmetric diffraction-free Laguerre-Gaussian beams are presented and analyzed. By selecting appropriate angular mode numbers, we identify novel types of asymmetric diffraction-free beams, obtained by the linear superposition of solutions, such as asymmetric vortex and asymmetric necklace-ring beams. Intensity distribution of the asymmetric diffraction-free beams at four times Rayleigh range with different mode parameters is presented analytically and simulated numerically. This research provides theoretical basis for possible experimental verification and utilization of asymmetric diffraction-free beams in free space or uniform transparent dielectrics.

Original languageEnglish
Article number127818
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume423
DOIs
Publication statusPublished - 31 Jan 2022
Externally publishedYes

Keywords

  • Asymmetric diffraction-free beams
  • Asymmetric vortex and asymmetric necklace-ring beams
  • Two-dimensional paraxial wave equation

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