An acoustic metamaterial with unusual wave properties
Tóm tắt
Several structural variants of a new acoustic metamaterial are proposed with unusual wave properties, and normal wave dispersion is studied. One of the variants is a bandpass filter in whose passband the phase velocity of a normal wave is negative. In another variant, there are two passbands: in the first, the phase velocity is positive; in the second, negative. As a result, unusual physical phenomena can be observed in it, in particular, a special type of birefringence and the combined Doppler effect. In the long-wavelength range, where the metamaterial behaves like a continuous medium, the corresponding equations have been derived in partial derivatives. Essential differences from the common wave equation are noted.
Tài liệu tham khảo
Acoustic Metamaterials, Ed. by R. V. Craster and S. Guenneau (Springer, Dordrecht, 2013).
Special issue on Acoustic Metamaterials, J. Acoust. Soc Am. 132(4), Pt. 2 (2012).
“Electromagnetic and Acoustic Waves in Metamaterials and Structures (Scientific Session of the Physical Sciences Division of the Russian Academy of Sciences),” Phys.-Usp. 54, 1161 (2011).
Proc. 1st All-Russ. Conf. “Wave Processes in Media with Micro- and Nanostructure,” N. Novgorod, September 21–23, 2009, Acoust. Phys. 56, 789–995 (2010).
Yu. I. Bobrovnitskii, Acoust. Phys. 60, 134 (2014).
G. W. Milton and P. Seppecher, arXiv:1105.0941v1 [physics.class-ph] (2011).
L. Brillouin and M. Parodi, Propagation des ondes dans les miliex periodiques (Masson, Paris, 1956).
H. Lamb, Proc. Math. Soc., Ser. 2, London 1, 473 (1904).
V. G. Veselago, Phys.-Usp. 10, 509 (1968).
C. Caloz and T. Itoh, Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications. The Engineering Approach (Wiley, New York, 2006).
N. Engheta and R. W. Ziolkowski, Metamaterials: Physics and Engineering Explorations (Wiley, New York, 2006).
E. Skudrzyk, Simple and Complex Vibratory Systems (Pensilvania Univ., Pensilvania, 1968).
G. D. Malyuzhinets, Zh. Tekh. Fiz. 21, 940 (1951).