Spies Martin
Fraunhofer-Institut Zerstörungsfreie Prüfverfahren (IZFP), Universität, Saarbrücken, Germany.
Ultrasonics. 2007 May;46(2):138-47. doi: 10.1016/j.ultras.2007.01.004. Epub 2007 Jan 20.
The Gaussian beam (GB) superposition approach can be applied to model ultrasound propagation in complex-structured materials and components. In this article, progress made in extending and applying the Gaussian beam superposition technique to model the beam fields generated by transducers with flat and focused rectangular apertures as well as with circular focused apertures is addressed. The refraction of transducer beam fields through curved surfaces is illustrated by calculation results for beam fields generated in curved components during immersion testing. In particular, the following developments are put forward: (i) the use of individually determined sets of GBs to model transducer beam fields with a number of less than ten beams; (ii) the application of the GB representation of rectangular transducers to focusing probes, as well as to the problem of transmission through interfaces; and (iii) computationally efficient transient modeling by superposition of 'temporally limited' GBs.
高斯光束（GB）叠加方法可用于对复杂结构材料和部件中的超声传播进行建模。本文阐述了在扩展和应用高斯光束叠加技术以对具有平面和聚焦矩形孔径以及圆形聚焦孔径的换能器所产生的波束场进行建模方面取得的进展。通过浸没测试期间在弯曲部件中产生的波束场的计算结果说明了换能器波束场通过曲面的折射。特别提出了以下进展：（i）使用单独确定的高斯光束集对少于十束光束的换能器波束场进行建模；（ii）将矩形换能器的高斯光束表示应用于聚焦探头以及通过界面的传输问题；（iii）通过“时间受限”高斯光束的叠加进行计算效率高的瞬态建模。
