Vasquez Fernando Guevara, Milton Graeme W, Onofrei Daniel
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
Phys Rev Lett. 2009 Aug 14;103(7):073901. doi: 10.1103/PhysRevLett.103.073901. Epub 2009 Aug 11.
A new cloaking method is presented for 2D quasistatics and the 2D Helmholtz equation that we speculate extends to other linear wave equations. For 2D quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding fields, yet produce very small scattered fields. The problem is reduced to finding a polynomial which is close to 1 in a disk and close to 0 in another disk, and such a polynomial is constructed. For the 2D Helmholtz equation it is numerically shown that three exterior cloaking devices placed around the object suffice to hide it.
本文提出了一种针对二维准静态和二维亥姆霍兹方程的新型隐身方法，我们推测该方法可扩展到其他线性波动方程。对于二维准静态情况，证明了如何使用单个有源外部隐身装置来使物体免受周围场的影响，同时产生非常小的散射场。该问题简化为寻找一个在一个圆盘内接近1而在另一个圆盘内接近0的多项式，并构造了这样一个多项式。对于二维亥姆霍兹方程，通过数值计算表明，在物体周围放置三个外部隐身装置就足以将其隐藏。
