Embedding techniques for directivities in acoustics and elasticity

在评估结构的安全性或评估飞机的雷达剖面时，经常需要衍射系数。这个系数表征了远离物体的信号;当参数改变时，这些参数可能很难评估和重新评估。嵌入提供了彻底改变这些参数计算方式的可能性，基本上可以解决一个主要问题，并评估其方向性。人们实际上想要的方向性是通过操作从中找到的，关键在于主问题中涉及的变量较少，因此您只需评估此方向性几次。因此，人们可以通过做一些计算来模拟，比如说，轨道上的裂缝的散射，并模拟改变入射波场的影响，而不必再次解决这个问题。

It is often required, during say the evaluation of the safety of a structure or evaluating the radar profile of an aircraft, that one needs a diffraction coefficient. This coefficient characterizes the signal seen far from the object; these can be awkward to evaluate and re-evaluate as a parameter changes.Embedding offers the possibility of revolutionizing how these are calculated, basically one instead solves a master problem and one evaluates its directivity. The directivity one actually wants to have is found from this by manipulations, the key point is that less variables are involved in the master problem so you evaluate this directivity only a few times. Hence one could potentially model, say, scattering by a crack in a rail track by doing just a few calculations and model the effect of altering the incoming wavefield without ever having solve the problem again.