Underwater acoustic metamaterial based on double Dirac cone characteristics in rectangular phononic crystals<xref rid="cpb_28_12_124301fn1" ref-type="fn">*</xref><fn id="cpb_28_12_124301fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11602269, 11972034, and 11802213), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB22040301), and the Research Program of Beijing, China (Grant Nos. Z161100002616034 and Z171100000817010).</p></fn>

Underwater acoustic metamaterial based on double Dirac cone characteristics in rectangular phononic crystals**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11602269, 11972034, and 11802213), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB22040301), and the Research Program of Beijing, China (Grant Nos. Z161100002616034 and Z171100000817010).

Pei Dong-Liang^{1, 2}, Yang Tao^{1, 2}, Chen Meng^{1, 2, †}, Jiang Heng^{1, 2, ‡}

(a) Frequency of the quadruply degenerate state at the corner M of the Brillouin zone as a function of scatterer width D and length L. (b) When D = 0.1a, the frequency of M changes with L. (c) When L = 0.48a, the frequency of M changes with D.