References
- Liu, Z., Zhang, X., Mao, Y., Zhu, Y. Y., Yang, Z., Chan, C. T. and Sheng, P., 2000, Locally Resonant Sonic Materials, Science, Vol. 289, No. 5485, pp. 1734-1736. https://doi.org/10.1126/science.289.5485.1734
- Zhou, X. and Hu, G., 2009, Analytic Model of Elastic Metamaterials with Local Resonances, Physical Review B, Vol. 79, No. 19, 195109. https://doi.org/10.1103/PhysRevB.79.195109
- Modinos, A., Yannopapas, V. and Stefanou, N., 2000, Scattering of Electromagnetic Waves by Nearly Periodic Structures, Physical Review B, Vol. 61, No. 12, pp. 8099-8107. https://doi.org/10.1103/PhysRevB.61.8099
- Wu, Y., Lai, Y. and Zhang, Z.-Q., 2007, Effective Medium Theory for Elastic Metamaterials in Two Dimensions, Physical Review B, Vol. 76 , No. 20, 205313. https://doi.org/10.1103/PhysRevB.76.205313
- Wu, Y. and Zhang, Z.-Q., 2009, Dispersion Relations and Their Symmetry Properties of Electromagnetic and Elastic Metamaterials in Two Dimensions, Physical Review B, Vol. 79, No. 19, 195111. https://doi.org/10.1103/PhysRevB.79.195111
- Liu, Z., Chan, C. T. and Sheng, P., 2005, Analytic Model of Phononic Crystals with Local Resonances, Physical Review B, Vol. 71, No. 1, 014103. https://doi.org/10.1103/PhysRevB.71.014103
- Zhu, R., Liu, X. N., Huang, G. L., Huang, H. H. and Sun, C. T., 2012, Microstructural Design and Experimental Validation of Elastic Metamaterial Plates with Anisotropic Mass Density, Physical Review B, Vol. 86, No. 14, 144307. https://doi.org/10.1103/PhysRevB.86.144307
- Lai, Y., Wu, Y., Sheng, P. and Zhang, Z.-Q., 2011, Hybrid Elastic Solids, Nature Materials, Vol. 10, No. 8, 5. https://doi.org/10.1038/nmat2927
- Liu, A. P., Zhu, R., Liu, X. N., Hu, G. K. and Huang, G. L., 2012, Multi-displacement Microstructure Continuum Modeling of Anisotropic Elastic Metamaterials, Wave Motion, Vol. 49, No. 3, pp. 411-426. https://doi.org/10.1016/j.wavemoti.2011.12.006
- Ding, Y., Liu, Z., Qiu, C. and Shi, J., 2007, Metamaterial with Simultaneously Negative Bulk Modulus and Mass Density, Physical Review Letters, Vol. 99, No. 9, 093904. https://doi.org/10.1103/PhysRevLett.99.093904
- Wu, Y., Lai, Y. and Zhang, Z.-Q., 2011, Elastic Metamaterials with Simultaneously Negative Effective Shear Modulus and Mass Density, Physical Review Letters, Vol. 107, No. 10, 105506. https://doi.org/10.1103/PhysRevLett.107.105506
- Liu, X. N., Hu, G. K., Huang, G. L. and Sun, C. T., 2011, An Elastic Metamaterial with Simultaneously Negative Mass Density and Bulk Modulus, Applied Physics Letters, Vol. 98, No. 25, 251907 https://doi.org/10.1063/1.3597651
- Milton, G. W., Briane, M. and Willis, J. R., 2006, On Cloaking for Elasticity and Physical Equations with a Transformation Invariant Form, New Journal of Physics, Vol. 8, No. 10, 248. https://doi.org/10.1088/1367-2630/8/10/248
- Lee, M. K. and Kim, Y. Y., 2013, Horizontal Cloaking and Vertical Reflection by Transformation Acoustics, AIP Advances, Vol. 3, No. 5, 052114. https://doi.org/10.1063/1.4805353
- Schurig, D., Mock, J. J., Justice, B. J., Cummer, S. A., Pendry, J. B., Starr, A. F. and Smith, D. R., 2006, Metamaterial Electromagnetic Cloak at Microwave Frequencies, Science, Vol. 314, No. 5801, pp. 977-980. https://doi.org/10.1126/science.1133628
- Lin, S. S., Huang, T. J, Sun, J.-H. and Wu, T.-T, 2009, Gradient-index Phononic Crystals, Physical Review B, Vol. 79, No. 9, 094302. https://doi.org/10.1103/PhysRevB.79.094302
- Wu, T.-T., Chen, Y.-T., Sun, J.-H., Lin, S.-C. S. and Huang, T. J., 2011, Focusing of the Lowest Antisymmetric Lamb Wave in a Gradientindex Phononic Crystal Plate, Applied Physics Letters, Vol. 98, No. 17, 171911. https://doi.org/10.1063/1.3583660
- Lee, H. J., Kim, H. W. and Kim, Y. Y., 2011, Far-field Subwavelength Imaging for Ultrasonic Elastic Waves In a Plate Using An Elastic Hyperlens, Applied Physics Letters, Vol. 98, No. 24, 241912. https://doi.org/10.1063/1.3600634
- Lee, M. K., Ma, P. S., Lee, I. K., Kim, H. W. and Kim, Y. Y., 2011, Negative Refraction Experiments with Guided Shear-horizontal Waves in Thin Phononic Crystal Plates, Applied Physics Letters, Vol. 98, No. 1, 011909. https://doi.org/10.1063/1.3533641
- Ma, P. S., Kim, H. W., Oh, J. H. and Kim, Y. Y., 2011, Mode Separation of a Singlefrequency Bi-modal Elastic Wave Pulse by a Phononic Crystal, Applied Physics Letters, Vol. 99, No. 20, 201906. https://doi.org/10.1063/1.3662446
- Kushwaha, M. S., Halevi, P., Dobrzynski, L. and Djafari-Rouhani, B., 1993, Acoustic Band Structure of Periodic Elastic Composites, Physical Review Letters, Vol. 71, No. 13, pp. 2022-2025. https://doi.org/10.1103/PhysRevLett.71.2022
- Ao, X. and Chan, C. T., 2008, Far-field Image Magnification for Acoustic Waves Using Anisotropic Acoustic Metamaterials, Physical Review E, Vol. 77, No. 2, 025601.
- Oh, J. H., Seung, H. M. and Kim, Y. Y., 2014, A Truly Hyperbolic Elastic Metamaterial Lens, Applied Physics Letters, Vol. 104, No. 7, 073503. https://doi.org/10.1063/1.4865907
- Zhang, X. and Liu, Z., 2004, Negative Refraction of Acoustic Waves in Twodimensional Phononic Crystals, Applied Physics Letters, Vol. 85, No. 2, pp. 341-343. https://doi.org/10.1063/1.1772854
- Ke, M., Liu, Z., Cheng, Z., Li, J., Peng, P. and Shi, J., 2007, Flat Superlens by Using Negative Refraction in Two-dimensional Phononic Crystals, Solid State Communications, Vol. 142, No. 3, pp. 177-180. https://doi.org/10.1016/j.ssc.2007.01.046
- Qiu, C., Liu, Z., Shi, J. and Chan, C. T., 2005, Directional Acoustic Source Based on the Resonant Cavity of Two-dimensional Phononic Crystals, Applied Physics Letters, Vol. 86, No. 22, 224105. https://doi.org/10.1063/1.1942642
- Song, K., Lee, S.-H., Kim, K., Hur, S. and Kim, J., 2014, Emission Enhancement of Sound Emitters Using an Acoustic Metamaterial Cavity, Scientific Reports, Vol. 4, No. 4165, 04165.
- Chen, S., Zhang, Y., Hao, C., Lin, S. and Fu, Z., 2014, Functionally Graded Materials For Impedance Matching in Elastic Media, Physics Letters A, Vol. 378, No. 1-2, pp. 77-81. https://doi.org/10.1016/j.physleta.2013.10.040
- Lee, I. K., Kim, Y. J., Oh, J. H. and Kim, Y. Y., 2013, One-dimensional Broadband Phononic Crystal Filter with Unit Cells Made of Two Non-uniform Impedance-mirrored Elements, AIP Advances, Vol. 3 , No. 2, 022105. https://doi.org/10.1063/1.4790638
- Oudich, M., Assouar, M. B. and Hou, Z., 2010, Propagation of Acoustic Waves and Waveguiding in a Two-dimensional Locally Resonant Phononic Crystal Plate, Applied Physics Letters, Vol. 97, No. 19, 193503. https://doi.org/10.1063/1.3513218
- Oh, J. H., Lee, I. K., Ma, P. S. and Kim, Y. Y., 2011, Active Wave-guiding of Piezoelectric Phononic Crystals, Applied Physics Letters, Vol. 99, No. 8, 083505. https://doi.org/10.1063/1.3630231
- Merheb, B., Deymier, P. A., Jain, M., Aloshyna-Lesuffleur, M., Mohanty, S., Berker, A. and Greger, R. W., 2008, Elastic and Viscoelastic Effects in Rubber/Air Acoustic Band Gap Structures: A Theoretical and Experimental Study, Journal of Applied Physics, Vol. 104, No. 6, 064913. https://doi.org/10.1063/1.2980330
- Oh, J. H., Kim, Y. J. and Kim, Y. Y., 2013, Wave Attenuation and Dissipation Mechanisms in Viscoelastic Phononic Crystals, Journal of Applied Physics, Vol. 113, No. 10, 106101. https://doi.org/10.1063/1.4795285
- Mei, J., Ma, G., Yang, M., Yang, Z., Wen, W. and Sheng, P., 2012, Dark Acoustic Metamaterials as Super Absorbers for Lowfrequency Sound, Nature Communications, Vol. 3, 756. https://doi.org/10.1038/ncomms1758
- Zhu, R., Liu, X. N., Hu, G. K., Sun, C. T. and Huang, G. L., 2014, A Chiral Elastic Metamaterial Beam for Broadband Vibration Suppression, Journal of Sound and Vibration, Vol. 333, No. 10, pp. 2759-2773. https://doi.org/10.1016/j.jsv.2014.01.009
- Stenger, N., Wilhelm, M. and Wegener, M., 2012, Experiments on Elastic Cloaking in Thin Plates, Physical Review Letters, Vol. 108, No. 1, 014301. https://doi.org/10.1103/PhysRevLett.108.014301
- Wu, L.-Y., Chen, L.-W. and Liu, C.-M., 2009, Acoustic Energy Harvesting Using Resonant Cavity of a Sonic Crystal, Applied Physics Letters, Vol. 95, No. 1, 013506. https://doi.org/10.1063/1.3176019