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Numerical Simulation of High-Order-Mode Generation in a Plano-Concave Resonator with a Cavity Mirror Bearing a Non-Reflective Band
Abstract
A formula based on the Fresnel–Kirchhoff diffraction integral formula, which yields the self-reproducing mode of a plano-concave resonator with a non-reflective 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 non-reflective 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 highorder modes.
Supporting agencies: This research was financially supported by the Key R&D and Promotion Program (Science and Technology) in Henan Province of China (Grant Nos. 252102221061, 252102220073, 242102221051, 252102211055, and 232102211022).
About the Authors
K. Li
School of Electrical and Mechanical Engineering, Henan Key Laboratory of Research for Central Plains Ancient Ceramics, Yaoshan Laboratory, Pingdingshan University
China
China
Pingdingshan, Henan
W. Bie
Henan Province Engineering Research Center of Ultrasonic Technology Application, Pingdingshan University
China
China
Pingdingshan
S. Xie
School of Electrical and Mechanical Engineering, Henan Key Laboratory of Research for Central Plains Ancient Ceramics, Yaoshan Laboratory, Pingdingshan University
China
China
Pingdingshan, Henan
J. Wang
School of Information Engineering, Pingdingshan University
China
China
Pingdingshan, Henan
X. Song
School of Electrical and Mechanical Engineering, Henan Key Laboratory of Research for Central Plains Ancient Ceramics, Yaoshan Laboratory, Pingdingshan University
China
China
Pingdingshan, Henan
Y. Xue
School of Electrical and Mechanical Engineering, Henan Key Laboratory of Research for Central Plains Ancient Ceramics, Yaoshan Laboratory, Pingdingshan University
China
China
Pingdingshan, Henan
M. Tian
School of Electrical and Mechanical Engineering, Henan Key Laboratory of Research for Central Plains Ancient Ceramics, Yaoshan Laboratory, Pingdingshan University
China
China
Pingdingshan, Henan
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Review
For citations:
Li K., Bie W., Xie S., Wang J., Song X., Xue Y., Tian M. Numerical Simulation of High-Order-Mode Generation in a Plano-Concave Resonator with a Cavity Mirror Bearing a Non-Reflective Band. Zhurnal Prikladnoii Spektroskopii. 2025;92(6):821.
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