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<p>A formula based on the Fresnel–Kirchhoff diffraction integral formula, which yields the self-reproducing mode of a plano-concave resonator with a nonreflective band on the cavity mirror, was derived and converted into a discrete numerical integral. The Fox–Li iterative method was then used to obtain the self-reproducing mode of the resonator. The results reveal that the nonreflective band transforms the laser mode from the fundamental Hermite–Gaussian (HG) mode to a distributional characteristic that resembles that of high-order HG modes, albeit with minor differences. Therefore, placement of a straight non-reflective band on the cavity mirror of a plano-concave resonator conveniently generates laser field distributions with features of high-order modes.</p>

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Numerical Simulation of High-Order-Mode Generation in a Plano-Concave Resonator with a Cavity Mirror Bearing a Nonreflective Band

  • 期刊论文

  • 发表日期：

    2026年1月15日

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  • K. Li,
  • W. Bie,
  • S. Xie,
  • J. Wang,
  • X. Song,
  • Y. Xue,
  • M. Tian

摘要

A formula based on the Fresnel–Kirchhoff diffraction integral formula, which yields the self-reproducing mode of a plano-concave resonator with a nonreflective band on the cavity mirror, was derived and converted into a discrete numerical integral. The Fox–Li iterative method was then used to obtain the self-reproducing mode of the resonator. The results reveal that the nonreflective band transforms the laser mode from the fundamental Hermite–Gaussian (HG) mode to a distributional characteristic that resembles that of high-order HG modes, albeit with minor differences. Therefore, placement of a straight non-reflective band on the cavity mirror of a plano-concave resonator conveniently generates laser field distributions with features of high-order modes.