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Transformation method and wave control

delete2010-12-22
delete19
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OA
AI
常正 (Zheng Chang)
J
Jin Hu
G
Gengkai Hu *
DOI:10.1007/s10409-010-0386-8delete
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摘要

摘要

En 中文
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. We propose a systematic method to derive the transformed relations for a general physic process, the constraint conditions are obtained by considering geometrical and physical constraint during a mapping. The proposed method is applied to Navier's equation for elastodynamics, Helmholtz's equation for acoustic wave and Maxwell's equation for electromagnetic wave, the corresponding transformed relations are derived, which can be used in the framework of transformation method for wave control. We show that contrary to electromagnetic wave, the transformed relations are not uniquely determined for elastic wave and acoustic wave, so we have a freedom to choose them differently. Using the obtained transformed relations, we also provide some examples for device design, a concentrator for elastic wave, devices for illusion acoustic and illusion optics are conceived and validated by numerical simulations.
Keyword:
Wave control
Elastic wave
Acoustic wave
Electromagnetic wave
Local affine transformation

期刊

A
Acta Mechanica Sinica
IF:
4.6
论文数:
2.9K
被引数:
4.7K

机构

B
beijing institute of technology
学者数:
5.5W
论文数: 4.0W
被引数: 63
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