Determining the full transformation relations in the transformation method

Abstract

Transformation method provides an efficient way to control wave propagation by materials. However, the degree to which this transformation concept can be applied to other physical phenomena remains an open question. Recently, Hu et al. presented a general framework for determining the transformation relations of the physical quantities in arbitrary partial differential equation (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 usual methods. The flexibility of this method is shown using an example.

6 pages, 2 figures

References in corpus (7)

• General Relativity in Electrical Engineering
• Acoustic cloaking theory
• Achieving control of in-plane elastic waves
• Full-wave invisibility of active devices at all frequencies
• Design Method for Electromagnetic Cloak with Arbitrary Shapes Based on Laplace's Equation
• An approximate method for controlling solid elastic waves by transformation media
• Constraint condition on transformed relation for generalized acoustics