Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (6): 700-705.

• 论文 • 上一篇    下一篇

VARIATION METHOD FOR ACOUSTIC WAVE IMAGING OF TWO DIMENSIONAL TARGETS

冯文杰, 邹振祝   

  1. Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China
  • 收稿日期:2001-03-03 修回日期:2003-02-19 出版日期:2003-06-18 发布日期:2003-06-18
  • 基金资助:
    the National Natural Science Foundation of China(19772029);the Research Found for Doctor of Hebei Province(B2001213)

VARIATION METHOD FOR ACOUSTIC WAVE IMAGING OF TWO DIMENSIONAL TARGETS

FENG Wen-jie, ZOU Zhen-zhu   

  1. Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P. R. China
  • Received:2001-03-03 Revised:2003-02-19 Online:2003-06-18 Published:2003-06-18
  • Supported by:
    the National Natural Science Foundation of China(19772029);the Research Found for Doctor of Hebei Province(B2001213)

摘要: A new way of acoustic wave imaging was investigated. By using the Green function theory a system of integral equations,which linked wave number perturbation function with wave field, was firstly deduced. By taking variation on these integral equations an inversion equation,which reflected the relation between the little variation of wave number perturbation function and that of scattering field, was further obtained. Finally, the perturbation functions of some identical targets were reconstructed, and some properties of the novel method including converging speed, inversion accuracy and the abilities to resist random noise and identify complex targets were discussed. Results of numerical simulation show that the method based on the variation principle has great theoretical and applicable value to quantitative nondestructive evaluation.

Abstract: A new way of acoustic wave imaging was investigated. By using the Green function theory a system of integral equations,which linked wave number perturbation function with wave field, was firstly deduced. By taking variation on these integral equations an inversion equation,which reflected the relation between the little variation of wave number perturbation function and that of scattering field, was further obtained. Finally, the perturbation functions of some identical targets were reconstructed, and some properties of the novel method including converging speed, inversion accuracy and the abilities to resist random noise and identify complex targets were discussed. Results of numerical simulation show that the method based on the variation principle has great theoretical and applicable value to quantitative nondestructive evaluation.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals