Table 2 Optimized radii of the rubber-lead rods for various \(\tan \delta\).

From: Omnidirectional acoustic cloaking against airborne sound realized by a locally resonant sonic material

i

 

1

2

3

4

\(\tan \delta =0.00\)

\(R_{\mathrm {out}}^{(i)}/R\)

0.19909

0.23752

0.16915

0.16365

\(R_{\mathrm {in}}^{(i)}/R\)

0.02452

0.09350

0.00797

0.00000

\(\tan \delta =0.01\)

\(R_{\mathrm {out}}^{(i)}/R\)

0.19207

0.21153

0.19316

0.16445

\(R_{\mathrm {in}}^{(i)}/R\)

0.00000

0.00000

0.02379

0.00000

\(\tan \delta =0.04\)

\(R_{\mathrm {out}}^{(i)}/R\)

0.18720

0.20698

0.19073

0.16765

\(R_{\mathrm {in}}^{(i)}/R\)

0.00000

0.00000

0.03251

0.00000

\(\tan \delta =0.10\)

\(R_{\mathrm {out}}^{(i)}/R\)

0.19043

0.22659

0.18315

0.17142

\(R_{\mathrm {in}}^{(i)}/R\)

0.00000

0.05137

0.00000

0.00000

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