One class of nonscattering acoustic shells for a model of anisotropic acoustics

J. B. Pendry, D. Shurig, and D. R. Smith, “Controlling Electromagnetic Fields,” Science 312, 1780–1782 (2006).

D. Shurig, J.B. Pendry, and D. R. Smith, “Calculation ofMaterial Properties and Ray Tracing in TransformationMedia,” Opt. Express. 14, 9794–9804 (2006).

S. A. Cummer and D. Schurig, “One Path to Acoustic Cloaking,” New J. Phys. 9, 45 (2007).

H. Chen, B.-I. Wi, B. Zhang, and J. A. Kong, “Electromagnetic Wave Interactions with a Metamaterial Cloak,” Phys. Rev. Lett. 99, 063903 (2007).

S. A. Cummer, B. I. Popa, D. Schurig, et al. “Scattering Theory Derivation of a 3D Acoustic Cloaking Shell,” Phys. Rev. Let. 100, 024301 (2008).

V. G. Romanov, “The Inverse Diffraction Problem for Acoustic Equations,” Dokl. Akad. Nauk, Ross. Akad. Nauk 431(3), 319–322 (2010) [Dokl.Math. 81 (2), 238–240, (2010)].

V. S. Vladimirov, Equations of Mathematical Physics (Nauka, Moscow, 1981) [in Russian].

G. V. Alekseev, TheMethod of Normal Waves in Underwater Acoustics (Dal’nauka, Vladivostok, 2006) [in Russian].

G. V. Alekseev, “Inverse Source Problems of Underwater Acoustics,” European J. Appl. Math. 9, 589–605 (1998).