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Perturbation theory of transverse modes in the off-axis pumping cavity

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Abstract

Off-axis pumping scheme has been widely used in experiments to generate high-order transverse modes, and how to characterize the evolution principle of transverse modes in the off-axis pumping cavity has received widespread attention. In the present paper, we introduce an operator to convert the diffraction integral equation into the eigenequation and then exploit the perturbation theory of the eigenequation to perform a theoretical analysis for exploring the influence of off-axis pumping on transverse modes. Using operator, we can calculate the eigenequation of the off-axis pumping cavity without complicated integral calculation. Theoretical analysis shows that off-axis pumping can increase and decrease the order of transverse mode. It can provide a complete theoretical model for the off-axis pumping experiment and explain the phenomena in the experiment.

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Funding

This work was supported by the National Natural Science Foundation of China (61975208, 51761135115, and 62105334), the Scientific Instrument Developing Project of the Chinese Academy of Sciences (YZLY202001), Youth Innovation Promotion Association CAS (2022303), Fujian Science & Technology Innovation Laboratory for Optoelectronic Information of China (Grant No. 2021ZR203, 2020ZZ108 and 2021ZZ118), and the Project of Science and Technology of Fujian Province (2021H0047) for their support in this research.

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Authors and Affiliations

  1. Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou, 350002, Fujian, China

    Shengbo Song, Wenbin Liao, Bingxuan Li & Ge Zhang

  2. Fujian Normal University, Fuzhou, 350117, Fujian, China

    Shengbo Song

  3. Fujian Science and Technology Innovation Laboratory for Optoelectronic Information of China, Fuzhou, 350108, China

    Wenbin Liao, Bingxuan Li & Ge Zhang

Authors
  1. Shengbo Song
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  2. Wenbin Liao
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  3. Bingxuan Li
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  4. Ge Zhang
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Contributions

SS conceptualization (lead); data curation (lead); formal analysis (lead); methodology (equal); writing—original draft (lead); writing—review and editing (equal). WL writing—review and editing (equal). BL: methodology (equal); resources (equal); writing—review and editing (equal). GZ conceptualization (equal); supervision (lead); funding acquisition (lead); project administration (equal); writing—review and editing (equal).

Corresponding author

Correspondence to Bingxuan Li.

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Song, S., Liao, W., Li, B. et al. Perturbation theory of transverse modes in the off-axis pumping cavity. Appl. Phys. B 130, 16 (2024). https://doi.org/10.1007/s00340-023-08153-1

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