Comment on âDesign of acoustic devices with isotropic material via conformal transformationâ [Appl. Phys. Lett. 97, 044101 (2010)] Andrew N. Norrisa) Mechanical and Aerospace Engineering, Rutgers University, Piscataway, New Jersey 08854, USA (Received 3 December 2011; accepted 6 January 2012; published online 6 February 2012) [doi:10.1063/1.3681945] The wave equation for an acoustic medium with uniform density q0 and bulk modulus k0 is, assuming time dependence eÃixt, r à rp þ x2 ðq0 =k0 Ãp ¼ 0: (1) q0 ¼ cq0 ; k0 ¼ ck0 jf0 ðzÃj2 ; (8) Ren et al.1 demonstrated that under the conformal transfor0 mation xi ! xi , z(¼ x1 þ ix2) ! f(z), Eq. (1) becomes, for 0 i0 i p ðx à ¼ pðx Ã, r0 à r0 p0 þ x2 ðq0 =k0 Ãp0 ¼ 0; where k0 =q0 ¼ jf0 ðzÃj2 k0 =q0 : (3) (2) for constant c > 0. These are the correct expressions for the bulk modulus and density in the transformed medium. The general theory of transformation acoustics allows for the possibility of non-unique expressions for the material parameters in the transformed domain.2 The material descriptions range from what is known as inertial ï¬uids, with anisotropic density
Comment on “Design of acoustic devices with isotropic material via conformal transformation” (Appl. Phys. Lett. 97, 044101 (2010))
Abstract
Comment on âDesign of acoustic devices with isotropic material via conformal transformationâ [Appl. Phys. Lett. 97, 044101 (2010)] Andrew N. Norrisa) Mechanical and Aerospace Engineering, Rutgers University, Piscataway, New Jersey 08854, USA (Received 3 December 2011; accepted 6 January 2012; published online 6 February 2012) [doi:10.1063/1.3681945] The wave equation for an acoustic medium with uniform density q0 and bulk modulus k0 is, assuming time dependence...End of preview. The entire article is 1 page. To view the full-text, please rent this article to continue.
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Comment on “Design of acoustic devices with isotropic material via conformal transformation” (Appl. Phys. Lett. 97, 044101 (2010))
Norris, Andrew N.
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, Volume 100 (6)
American Institute of Physics – Feb 6, 2012
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