Steven A Cummer and David Schurig 2007 New J. Phys. 9 45 doi:10.1088/1367-2630/9/3/045
One path to acoustic cloaking
Steven A Cummer1 and David Schurig
Show affiliationsA complete analysis of coordinate transformations in elastic media by Milton et al has shown that, in general, the equations of motion are not form invariant and thus do not admit transformation-type solutions of the type discovered by Pendry et al for electromagnetics. However, in a two-dimensional (2D) geometry, the acoustic equations in a fluid are identical in form to the single polarization Maxwell equations via a variable exchange that also preserves boundary conditions. We confirm the existence of transformation-type solutions for the 2D acoustic equations with anisotropic mass via time harmonic simulations of acoustic cloaking. We discuss the possibilities of experimentally demonstrating acoustic cloaking and analyse why this special equivalence of acoustics and electromagnetics occurs only in 2D.
- PACS
-
43.28.Py Interaction of fluid motion and sound, Doppler effect and sound in flow ducts.
41.20.Jb Electromagnetic wave propagation; radiowave propagation
- Subjects
- Dates
-
Issue 3 (March 2007)
Received 10 November 2006
Published 2 March 2007
-
One path to acoustic cloaking
Steven A Cummer and David Schurig 2007 New J. Phys. 9 45
-
Analysis of a large-scale weighted network of one-to-one human communication
Jukka-Pekka Onnela et al 2007 New J. Phys. 9 179
-
Optical tweezers computational toolbox
Timo A Nieminen et al 2007 J. Opt. A: Pure Appl. Opt. 9 S196
-
Persistent entanglement in the classical limit
M J Everitt et al 2005 New J. Phys. 7 64
-
Ridged atomic mirrors and atomic nanoscope
D Kouznetsov et al 2006 J. Phys. B: At. Mol. Opt. Phys. 39 1605
-
Measurement of droplet size distribution of gasoline direct injection spray by droplet generator and planar image technique
Sangon Park et al 2002 Meas. Sci. Technol. 13 859
-
Transfer across the human gut of environmental technetium in lobsters (Homarus gammarus L.) from the Irish Sea
G J Hunt et al 2001 J. Radiol. Prot. 21 21
-
Implementation of the critical points model in the recursive convolution method for modelling dispersive media with the finite-difference time domain method
Alexandre Vial 2007 J. Opt. A: Pure Appl. Opt. 9 745
-
Giant optical transmission of sub-wavelength apertures: physics and applications
Tineke Thio et al 2002 Nanotechnology 13 429
-
Resetting global expectations from agricultural biofuels
Matt Johnston et al 2009 Environ. Res. Lett. 4 014004
Users also read
What's this?- Methane emissions from western Siberian wetlands: heterogeneity and sensitivity to climate change
- Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density
- Experimental study on negative effective mass in a 1D mass–spring system