基于变换声学的角反射器的设计
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摘要
基于超材料的新型声学器件是近年来的研究热点,变换声学为这些新型声学器件的实现带来了可能。该文提出了一种基于变换声学的声反射器模型的设计方法。通过简单的线性映射,该声反射器具有均匀而各向异性的参数。利用Biot流体等效介质理论,通过周期分层结构可以对该反射器进行实现。仿真结果显示,在一定角度范围内,该反射器可以将声波按照入射方向进行反射,同时也验证了该结构的宽频有效性。
New devices based on metamaterials have attracted much attention in the past few years.The transformation acoustics provides the way to design these devices.In this paper,we propose a design approach of an acoustical retrodirective reflector.Based on the linear mapping rules,the acoustical retrodirective reflector requires homogeneous but anisotropic parameters.By utilizing the Biot fluid theory,this device can be further realized by periodic layered fluids.The simulated results show that the acoustical retrodirective reflector can work in a range of angles.Meanwhile,it also demonstrates that this device has a good performance over a wide operating band.
New devices based on metamaterials have attracted much attention in the past few years.The transformation acoustics provides the way to design these devices.In this paper,we propose a design approach of an acoustical retrodirective reflector.Based on the linear mapping rules,the acoustical retrodirective reflector requires homogeneous but anisotropic parameters.By utilizing the Biot fluid theory,this device can be further realized by periodic layered fluids.The simulated results show that the acoustical retrodirective reflector can work in a range of angles.Meanwhile,it also demonstrates that this device has a good performance over a wide operating band.
引文
[1]Ohba Y.On the radiation pattern of a corner reflector finite in width[J].IEEE Transactions on Antennas and Propagation,1963,11(2):127-132.
[2]Eckhardt H D.Simple model of corner reflector phenomena[J].Applied Optics,1971,10(7):1559-1566.
[3]Guenneau S,Gralak B,Pendry J B.Perfect corner reflector[J].Optics Letters,2005,30(10):1204-1206.
[4]Cummer S A,Schurig D.One path to acoustic cloaking[J].New Journal of Physics,2007,9(3):45.
[5]Chen H Y,Chan C T.Acoustic cloaking in three dimensions using acoustic metamaterials[J].Applied Physics Letters,2007,91(18):183518.
[6]Torrent D,Sanchez-Dehesa J.Acoustic cloaking in two dimensions:a feasible approach[J].New Journal of Physics,2008,10(6):063015.
[7]Norris A N.Acoustic cloaking theory[J].Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences.The Royal Society,2008,464(2097):2411-2434.
[8]Chen H,Chan C T.Acoustic cloaking and transformation acoustics[J].Journal of Physics D:Applied Physics,2010,43(11):113001.
[9]Popa B I,Zigoneanu L,Cummer S A.Experimental acoustic ground cloak in air[J].Physical Review Letters,2011,106(25):253901.
[10]Liu R,Ji C,Mock J J,et al.Broadband ground-plane cloak[J].Science,2009,323(5912):366-369.
[11]Zigoneanu L,Popa B I,Cummer S A.Three-dimensional broadband omnidirectional acoustic ground cloak[J].Nature Materials,2014,13(4):352.
[12]胡文林,杨军.隐声衣结构设计和实验研究新进展[J].应用声学,2013,32(2):91-99.Hu Wenlin,Yang Jun.New development in structure design and experimental study of acoustic cloaking[J].Journal of Applied Acoustics,2013,32(2):91-99.
[13]Lu W,Jia H,Bi Y,et al.Design and demonstration of an acoustic right-angle bend[J].The Journal of the Acoustical Society of America,2017,142(1):84-89.
[14]Yang Y,Jia H,Lu W,et al.Impedance-matching acoustic bend composed of perforated plates and side pipes[J].Journal of Applied Physics,2017,122(5):054502.
[15]Sun Z,Jia H,Chen Y,et al.Design of an underwater acoustic bend by pentamode metafluid[J].The Journal of the Acoustical Society of America,2018,143(2):1029-1034.
[16]Climente A,Torrent D,Sanchez-Dehesa J.Sound focusing by gradient index sonic lenses[J].Applied Physics Letters,2010,97:104103.
[17]Zigoneanu L,Popa B I,Cummer S A.Design and measurements of a broadband two-dimensional acoustic lens[J].Physical Review B,2011,84(2):024305.
[18]Su X,Norris A N,Cushing C W,et al.Broadband focusing of underwater sound using a transparent pentamode lens[J].The Journal of the Acoustical Society of America,2017,141(6):4408-4417.
[19]Kong F,Wu B I,Kong J A,et al.Planar focusing antenna design by using coordinate transformation technology[J].Applied Physics Letters,2007,91(25):253509.
[20]Gallina I,Castaldi G,Galdi V.Transformation media for thin planar retrodirective reflectors[J].IEEE Antennas and Wireless Propagation Letters,2008,7:603-605.
[21]Ma Y G,Ong C K,Tyc T,et al.An omnidirectional retroreflector based on the transmutation of dielectric singularities[J].Nature Materials,2009,8(8):639-642.
[22]Luo Y,He L X,Zhu S Z,et al.Flattening of conic reflectors via a transformation method[J].Physical Review A,2011,84(2):023843.
[23]Xiong S,Feng Y,Jiang T,et al.Designing retrodirective reflector on a planar surface by transformation optics[J].AIP Advances,2013,3(1):012113.
[24]Schoenberg M,Sen P N.Properties of a periodically stratified acoustic half-space and its relation to a Biot fluid[J].The Journal of the Acoustical Society of America,1983,73(1):61-67.
[25]Fokin V,Ambati M,Sun C,et al.Method for retrieving effective properties of locally resonant acoustic metamaterials[J].Physical Review B,2007,76(14):144302.
[2]Eckhardt H D.Simple model of corner reflector phenomena[J].Applied Optics,1971,10(7):1559-1566.
[3]Guenneau S,Gralak B,Pendry J B.Perfect corner reflector[J].Optics Letters,2005,30(10):1204-1206.
[4]Cummer S A,Schurig D.One path to acoustic cloaking[J].New Journal of Physics,2007,9(3):45.
[5]Chen H Y,Chan C T.Acoustic cloaking in three dimensions using acoustic metamaterials[J].Applied Physics Letters,2007,91(18):183518.
[6]Torrent D,Sanchez-Dehesa J.Acoustic cloaking in two dimensions:a feasible approach[J].New Journal of Physics,2008,10(6):063015.
[7]Norris A N.Acoustic cloaking theory[J].Proceedings of the Royal Society of London A:Mathematical,Physical and Engineering Sciences.The Royal Society,2008,464(2097):2411-2434.
[8]Chen H,Chan C T.Acoustic cloaking and transformation acoustics[J].Journal of Physics D:Applied Physics,2010,43(11):113001.
[9]Popa B I,Zigoneanu L,Cummer S A.Experimental acoustic ground cloak in air[J].Physical Review Letters,2011,106(25):253901.
[10]Liu R,Ji C,Mock J J,et al.Broadband ground-plane cloak[J].Science,2009,323(5912):366-369.
[11]Zigoneanu L,Popa B I,Cummer S A.Three-dimensional broadband omnidirectional acoustic ground cloak[J].Nature Materials,2014,13(4):352.
[12]胡文林,杨军.隐声衣结构设计和实验研究新进展[J].应用声学,2013,32(2):91-99.Hu Wenlin,Yang Jun.New development in structure design and experimental study of acoustic cloaking[J].Journal of Applied Acoustics,2013,32(2):91-99.
[13]Lu W,Jia H,Bi Y,et al.Design and demonstration of an acoustic right-angle bend[J].The Journal of the Acoustical Society of America,2017,142(1):84-89.
[14]Yang Y,Jia H,Lu W,et al.Impedance-matching acoustic bend composed of perforated plates and side pipes[J].Journal of Applied Physics,2017,122(5):054502.
[15]Sun Z,Jia H,Chen Y,et al.Design of an underwater acoustic bend by pentamode metafluid[J].The Journal of the Acoustical Society of America,2018,143(2):1029-1034.
[16]Climente A,Torrent D,Sanchez-Dehesa J.Sound focusing by gradient index sonic lenses[J].Applied Physics Letters,2010,97:104103.
[17]Zigoneanu L,Popa B I,Cummer S A.Design and measurements of a broadband two-dimensional acoustic lens[J].Physical Review B,2011,84(2):024305.
[18]Su X,Norris A N,Cushing C W,et al.Broadband focusing of underwater sound using a transparent pentamode lens[J].The Journal of the Acoustical Society of America,2017,141(6):4408-4417.
[19]Kong F,Wu B I,Kong J A,et al.Planar focusing antenna design by using coordinate transformation technology[J].Applied Physics Letters,2007,91(25):253509.
[20]Gallina I,Castaldi G,Galdi V.Transformation media for thin planar retrodirective reflectors[J].IEEE Antennas and Wireless Propagation Letters,2008,7:603-605.
[21]Ma Y G,Ong C K,Tyc T,et al.An omnidirectional retroreflector based on the transmutation of dielectric singularities[J].Nature Materials,2009,8(8):639-642.
[22]Luo Y,He L X,Zhu S Z,et al.Flattening of conic reflectors via a transformation method[J].Physical Review A,2011,84(2):023843.
[23]Xiong S,Feng Y,Jiang T,et al.Designing retrodirective reflector on a planar surface by transformation optics[J].AIP Advances,2013,3(1):012113.
[24]Schoenberg M,Sen P N.Properties of a periodically stratified acoustic half-space and its relation to a Biot fluid[J].The Journal of the Acoustical Society of America,1983,73(1):61-67.
[25]Fokin V,Ambati M,Sun C,et al.Method for retrieving effective properties of locally resonant acoustic metamaterials[J].Physical Review B,2007,76(14):144302.