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Vectorial eigenvector method for simulating the polarization dependent resonator.

Youyou Hu, Xiaofeng He, Sisi Liu

    Optics Express
    |April 7, 2017
    PubMed
    Summary
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    A new vectorial eigenvector method (VEM) enables precise calculation of laser resonator modes, extending scalar models to vector models. This method successfully generated a stable, high-power radially polarized beam from a CO2 laser.

    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Computational Electromagnetics

    Background:

    • Traditional eigenvector methods (EM) are limited to scalar models for resonator mode calculations.
    • Polarization-dependent resonators require vector models to accurately describe complex mode characteristics.
    • Existing methods may not fully capture the behavior of cylindrical vector (CV) modes.

    Purpose of the Study:

    • To introduce a vectorial eigenvector method (VEM) for accurate mode calculation in polarization-dependent resonators.
    • To extend the capabilities of the eigenvector method from scalar to vector models.
    • To validate the VEM's efficacy through simulation and experimental verification.

    Main Methods:

    • Development of new transfer matrices using Jones matrix representation for laser resonant cavities with polarization-selective devices.

    Related Experiment Videos

  • Solving the matrix eigenequation to compute eigenvectors, which represent resonator mode characteristics.
  • Simulation of an axicon mirror resonator using the VEM.
  • Experimental validation using a fast axial flow (FAT) CO2 laser with an axicon mirror.

    • Main Results:

    • The VEM successfully extends scalar EM to vector models, inheriting its superiorities.
    • VEM simulations of an axicon mirror resonator demonstrated feasibility and efficacy.
    • Experimental results confirmed the validity of the VEM.
    • A stable 1.5 kW radially polarized beam was obtained from the FAT CO2 laser.

    Conclusions:

    • The vectorial eigenvector method (VEM) is a powerful and accurate tool for analyzing polarization-dependent resonators.
    • VEM enables the prediction and generation of complex vector modes, such as cylindrical vector (CV) modes.
    • The method has practical applications, as demonstrated by the successful generation of a high-power radially polarized beam.