Related Experiment Video
Updated: May 23, 2026

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Generation of high-order Hermite-Gaussian modes in end-pumped solid-state lasers for square vortex array laser beam
Shu-Chun Chu1, Yun-Ting Chen, Ko-Fan Tsai
1Department of Physics and Advanced Optoelectronic Technology Center, National Cheng Kung University,1 Ta-Hsueh Road, Tainan 701, Taiwan. SCChu@mail.ncku.edu.tw
Optics Express
|March 29, 2012
Summary
Researchers developed a novel method to generate high-order Hermite-Gaussian modes (HGMs) in lasers. This technique enables the creation of square vortex array laser beams for potential applications in optical trapping.
Area of Science:
- Laser physics
- Quantum optics
- Photonics
Background:
- High-order Hermite-Gaussian modes (HGMs) are crucial for advanced laser applications.
- Existing methods for generating HGMs are often limited in scope or efficiency.
- Solid-state lasers offer a versatile platform for mode generation.
Purpose of the Study:
- To present the first systematic approach for exciting all high-order Hermite-Gaussian modes (HGMs) in end-pumped solid-state lasers.
- To numerically analyze and experimentally validate the excitation of HGMs.
- To demonstrate the generation of square vortex array laser beams using specific HGMs.
Main Methods:
- Utilized a metal-wire-inserted laser resonator.
- Employed the "off-axis pumping" technique for mode excitation.
- Performed numerical simulations and experimental verification of HGM generation.
- Used a Dove prism-embedded unbalanced Mach-Zehnder interferometer to create vortex arrays.
Main Results:
- Successfully excited a comprehensive range of high-order Hermite-Gaussian modes.
- Experimentally generated various HGM patterns in an end-pumped solid-state laser.
- Demonstrated the creation of square vortex array laser beams from specific HGMs (HGn,n+1 or HGn+1,n).
Conclusions:
- The developed method provides a systematic approach to HGM excitation in solid-state lasers.
- The generated square vortex array laser beams offer potential for applications such as multi-spot dark optical traps.
- This work advances the control and application of complex laser beam structures.

