META 2021, META'12

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Determining the full transformed relations in transformation method
J. Hu, X. Lu

Last modified: 2011-12-30

Abstract


Transformation method [1-3] 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, we present a general framework for determining the transformed relations of physical quantities in arbitrary PDE of first-order approximation according to the idea of transformation method [4-6]. In this paper, we will summarize the progress of this work and discuss the potential wide applications of this method.