VARIATION METHOD FOR ACOUSTIC WAVE IMAGING OF TWO DIMENSIONAL TARGETS

• Published in: Applied mathematics and mechanics Vol. 24; no. 6; pp. 700 - 705
• Main Author: 冯文杰 邹振祝
• Format: Journal Article
• Language: English
• Published: Department of Mechanics and Engineering Science, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China 01.06.2003
• Subjects: 二维物体; 声波成像; 复杂目标; 扰动函数; 无损检测; 非破坏性评估; complex target; quantitative nondestructive evaluation; flaw identification; perturbation function; variation; acoustic wave
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/BF02437871

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.