Response to âComment on âDesign of acoustic devices with isotropic material via conformal transformationââ [Appl. Phys. Lett. 100, 066101 (2012)] Zhihai Xiang,a) Chunyu Ren, and Zhangzhi Cen AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China (Received 12 December 2011; accepted 13 January 2012; published online 6 February 2012) [doi:10.1063/1.3681946] Denoting a ¼ jf0 ðzÃj, it is easy to know @a @u @ 2 u @u @ 2 u ¼ þ =a ¼ 0; @u @x @x@u @y @y@u @a @v @ 2 v @v @ 2 v ¼ þ =a ¼ 0: @v @x @x@v @y @y@v Designing the meta-devices is an inverse problem, whose solutions could be non-unique. The transformation method just gives one possible solution. Equation (7) in this comment1 is generally correct. Equation (6) in our original letter2 and Eq. (8) in this comment1 are both special solutions to Eq. (7) (Ref. 1): 0 1 q0 r0 à q0 r0 p0 þ x2 q0 p0 ¼ 0. This can be clariï¬ed as k follows: Substituting Eq. (6),2 i.e., q0 ¼ q0 =jf0 ðzÃj and 0 k ¼ k0 jf0 ðzÃj, into Eq. (7) (Ref. 1) obtains
Response to “Comment on ‘Design of acoustic devices with isotropic material via conformal transformation’” (Appl. Phys. Lett. 100, 066101 (2012))
Abstract
Response to âComment on âDesign of acoustic devices with isotropic material via conformal transformationââ [Appl. Phys. Lett. 100, 066101 (2012)] Zhihai Xiang,a) Chunyu Ren, and Zhangzhi Cen AML, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China (Received 12 December 2011; accepted 13 January 2012; published online 6 February 2012) [doi:10.1063/1.3681946] Denoting a ¼ jf0 ðzÃj, it is easy...End of preview. The entire article is 1 page. To view the full-text, please rent this article to continue.
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Response to “Comment on ‘Design of acoustic devices with isotropic material via conformal transformation’” (Appl. Phys. Lett. 100, 066101 (2012))
Xiang, Zhihai; Ren, Chunyu; Cen, Zhangzhi
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, Volume 100 (6)
American Institute of Physics – Feb 6, 2012
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