“…1,2 Since PCs were first proposed by Kushwaha et al, 2 much attention has been devoted to PCs because of their substantial applications in waveguide, 3 sound attenuation, 4 absorber, 5,6 sound insulation, 7 acoustic lens, 8 enhanced inertia, 9 shield, 10 filtering, 11,12 sensor, 13 strong reflectors for surface acoustic waves, [14][15][16] and microfluidic manipulations. 17,18 In addition, PCs give rise to novel effects, such as negative refraction, [19][20][21] negative birefraction, 22 negative elastic modulus, 23 and negative mass density.…”