Please wait a minute...
Chin. Phys. B, 2016, Vol. 25(12): 124303    DOI: 10.1088/1674-1056/25/12/124303
SPECIAL TOPIC—Acoustics Prev   Next  

Rayleigh reciprocity relations: Applications

Ju Lin(林巨), Xiao-Lei Li(李小雷), Ning Wang(王宁)
College of Information Science and Technology, Ocean University of China, Qingdao 266003, China
Abstract  

Classical reciprocity relations have wide applications in acoustics, from field representation to generalized optical theorem. In this paper we introduce our recent results on the applications and generalization of classical Rayleigh reciprocity relation:higher derivative reciprocity relations as a generalization of the classical one and a theoretical proof on the Green's function retrieval from volume noises.

Keywords:  Rayleigh reciprocity relation      higher derivative reciprocity      Green'      s function retrieval      symplectic structure  
Received:  09 June 2016      Revised:  09 September 2016      Accepted manuscript online: 
PACS:  43.20.+g (General linear acoustics)  
Corresponding Authors:  Ning Wang     E-mail:  wangyu@public.qd.sd.cn

Cite this article: 

Ju Lin(林巨), Xiao-Lei Li(李小雷), Ning Wang(王宁) Rayleigh reciprocity relations: Applications 2016 Chin. Phys. B 25 124303

[1] Rayleigh J W S 1945 The Theory of Sound, 2nd edn., Vol. I and Vol. II (Dover)
[2] Bojarski N N 1983 J. Acoust. Soc. Am. 74 281
[3] de HoopA T 1988 J. Acoust. Soc. Am. 84 1877
[4] Fokkema J T and van den Berg P M 1993 Seismic Applications of Acoustic Reciprocity (Elsevier)
[5] Godin O A 2006 Phys. Rev. Lett. 97 054301
[6] Wapenaar K Slob E and Snieder R 2006 Phys. Rev. Lett. 97 234301
[7] Snieder RWapenaar K and Wegler U 2007 Phys. Rev. E 75 036103
[8] Tarantola A 1987 Inverse Problem Theory and methods for data fitting and model parameter estimation (Elsevier)
[9] Marquering H, Nolet G and Dahlen F A 1998 Geophys. J. Int. 132 521
[10] Marsden J E, Patrick G W and Shkoller S 1998 Commun. Math. Phys. 199 351
[11] Lee J and Wald R M 1990 J. Math. Phys. 31 725
[12] Julia B and SilvaS 2002 Gen. Relativ. Quantum Cosmol. arXiv:hep-th/0205072
[13] Peierls R E 1952 Proc. Roy. Soc. A 214 143
[14] DeWitt B 1960 Phys. Rev. Lett. 4 317
[15] Curtis A, Gerstoft P, Sato H, Snieder R and Wapenaar K 2006 The Leading Edge 25 1082
[16] Larose E, Margerin L, Derode A, van Tiggelen B, Campillo M, Shapiro N, Paul A, Stehly L and Tanter M 2006 Geophysics 71 SI11
[17] Wapenaar K, Dragonv D and Robertsson J 2006 Geophysics 71 SI1
[18] Lobkis O I and Weaver R L 2001 J. Acoust. Soc. Am. 110 3011
[19] Wapenaar K 2004 Phys. Rev. Lett. 93 254301
[20] Wapenaar K, Fokkema J and Snieder R 2005 J. Acoust. Soc. Am. 118 2783
[21] Weaver R L and LobkisO I 2004 J. Acoust. Soc. Am. 116 2731
[22] Sánchez-Sesma F J, Pérez-Ruiz J A, Campillo M and Luzón F 2006 Geophys. Res. Lett. 33 L13305
[23] Sánchez-Sesma F J and Campillo M 2006 Bull. Seismol. Soc. Am. 96 1182
[24] Derode A, Larose E, Tanter M, de Rosny J, Tourin A, Campillo M and Fink M 2003 J. Acoust. Soc. Am. 113 2973
[25] Derode A, Larose E, Campillo M and Fink M 2003 Appl. Phys. Lett. 83 3054
[26] Snieder R 2004 Phys. Rev. E 69 046610
[27] Campillo M and Paul A 2003 Science 299 547
[28] Shapiro N M and Campillo M 2004 Geophys. Res. Lett. 31 L07614
[29] Shapiro N M, Campillo M, Stehly L and Ritzwoller M H 2005 Science 307 1615
[30] SabraK G, Kuperman W A and Fehler M C 2005 Geophys. Res. Lett. 32 L14311
[31] Sabra K G, Gerstoft P, Roux P, Kuperman W A and Fehler M C 2005 Geophys. Res. Lett. 32 L03310
[32] Bakulin A and Calvert R 2006 Geophysics 71 SI139
[33] Schuster G T, Yu J, Sheng J and Rickett J 2004 Geophys. J. Int. 157 838
[34] Halliday D and Curtis C 2008 Geophys. J. Int. 175 1067
[35] Paul A, Campillo M, Margerin L, Larose E and Derode A 2005 J. Geophys. Res. 110 B08302
[1] Research on the discrete variational method for a Birkhoffian system
Liu Shi-Xing (刘世兴), Hua Wei (花巍), Guo Yong-Xin (郭永新). Chin. Phys. B, 2014, 23(6): 064501.
No Suggested Reading articles found!