Finite element transmission matrix method for calculation of multi-element optical resonator modes

被引：1
|
作者：
Xiao G. [1 ]
Long X. [1 ]
Chen K. [1 ]
Zhang B. [1 ]
Zhao H. [1 ]
机构：
[1] College of Opto-Electronic Science and Engineering, National University of Defense Technology
来源：
Qiangjiguang Yu Lizishu/High Power Laser and Particle Beams | 2010年 / 22卷 / 11期
关键词：
Eigenvalue; Finite element fineness; Finite element transmission matrix method; Mode calculation relative error; Optical resonator;
D O I：
10.3788/HPLPB20102211.2517
中图分类号：
学科分类号：
摘要：
A finite element transmission matrix model is founded for the eigenmode of multi-element optical resonator. A novel conception of mode calculation relative error(MCRE) and its mathematical expression are introduced. The conception can well reflect the effect of finite element amount on the mode calculation precision of resonators with different Fresnel number, because it is mainly independent of Fresnel number. Another new conception of finite element fineness(FEF) is proposed to characterize the division precision of finite elements. FEF is defined as the ratio of the finite element amount of cavity mirror to Fresnel number, where Fresnel number is used as the relative requirement of the division number. The relationship between MCRE and FEF is analyzed, and an empirical expression between them is established through numerical calculation with residual error comparison.
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页码：2517 / 2520
页数：3
相关论文
共 10 条
  • [1] Chao J., Li B., Cheng Y., Et al., Simulation of optical field in laser resonators cavity by eigenvector method, Optics and Laser Technology, 39, pp. 490-499, (2007)
  • [2] Cheng Y., Wang Y., Hu J., An eigenvector method for optical field simulation, Opt Commun, 234, pp. 1-6, (2004)
  • [3] Selleri S., Vincetti L., Cucinotta A., Et al., Complex FEM modal solver of optical waveguides with PML boundary conditions, Optical and Quantum Electronics, 33, pp. 35-71, (2001)
  • [4] Manenkov A.B., Rozhnev A.G., Optical dielectric waveguide analysis based on the modified finite element and integral equation methods, Optical and Quantum Electronics, 30, pp. 31-70, (1998)
  • [5] Ling D., Fu Y., Fan Z., Matrix analysis of eigen mode-fields of the circular plano-concave resonator with a Gaussian-reflectivity mirror, Chinese Journal of Lasers, 30, 1, pp. 25-28, (2003)
  • [6] Xu Z., Zhang S., Liang D., Et al., Research of the laser transverse mode modulated by the cat's eye resonator, Acta Optica Sinica, 26, 1, pp. 86-90, (2006)
  • [7] Qin Y., Tang X., Zhong R., Et al., Study on mode calculation of transmission matrix for laser resonator, Chinese Journal of Lasers, 35, 10, pp. 1463-1468, (2008)
  • [8] Collins Jr. S.A., Lens-system diffraction integral written in term of matrix optics, J Opt Soc Am, 60, 9, pp. 1168-1177, (1970)
  • [9] Lu B., Laser Optics, pp. 191-231, (1992)
  • [10] Born M., Wolf E., Principles of Optics, pp. 182-190, (1978)
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