META 2021, META'12

Font Size: 
Determining the full transformed relations in transformation method
Jin Hu, Xiang-Yang Lu

Last modified: 2012-07-08

Abstract


Transformation method provides an efficient way to control wave propagation by materials. The transformed relations for field and material during a transformation are essential to fulfill this method. However, there are no general methods to obtain the transformed relations for a general physic process; all the results in literatures are derived case by case. As a result, the degree to which this transformation concept can be applied to other physical phenomena remains an open question. Recently, Hu et al. present a general framework for determining the transformed relations of physical quantities in arbitrary PDE in its application scope according to the idea of transformation method. In this paper, we will review the main concepts of this general theory, particularly the difference between this idea and the usual method. The flexibility of this method is shown by an example.

Keywords


metamaterials;cloak;transformation method;elastodynamics