Filtering random matrices: The effect of incomplete channel control in multiple scattering

Physical Review Letters

Volumn 111, Issue 6, 2013, Pages

  Goetschy, A ^a   Stone, A D ^a  

^a Yale University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIMODAL DISTRIBUTION; DIFFUSIVE SCATTERING; DISTRIBUTION CHARACTERISTICS; GAUSSIAN RANDOM MATRICES; MICROWAVE EXPERIMENTS; MULTIPLE-SCATTERING MEDIUM; STATISTICAL PROPERTIES; TRANSMISSION EIGENVALUES;

EIGENVALUES AND EIGENFUNCTIONS; RANDOM VARIABLES; SCATTERING PARAMETERS;

SCATTERING;

EID: 84881533289     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.111.063901     Document Type: Article

References (27)

1. S. Feng, C. Kane, P. A. Lee, and A. D. Stone, Phys. Rev. Lett. 61, 834 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.61.834
2. A. P. Mosk and E. van Putten, Physics 3, 22 (2010). PHYSGM 1943-2879 10.1103/Physics.3.22
3. I. M. Vellekoop and A. P. Mosk, Phys. Rev. Lett. 101, 120601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.120601
4. S. M. Popoff, G. Lerosey, M. Fink, C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010). NCAOBW 2041-1723 10.1038/ncomms1078
5. T. Cizmar and K. Dolakhia, Nat. Commun. 3, 1027 (2012). NCAOBW 2041-1723 10.1038/ncomms2024
6. A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photonics 6, 283 (2012). NPAHBY 1749-4885 10.1038/nphoton.2012.88
7. O. N. Dorokhov, Solid State Commun. 51, 381 (1984). SSCOA4 0038-1098 10.1016/0038-1098(84)90117-0 (Pubitemid 14672226)
8. Y. Imry, Europhys. Lett. 1, 249 (1986). EULEEJ 0295-5075 10.1209/0295-5075/1/5/008
9. C. W. J. Beenakker, Rev. Mod. Phys. 69, 731 (1997). RMPHAT 0034-6861 10.1103/RevModPhys.69.731 (Pubitemid 127098258)
10. Y. D. Chong and A. D. Stone, Phys. Rev. Lett. 107, 163901 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.163901
11. R. Sprik, A. Tourin, J. de Rosny, and M. Fink, Phys. Rev. B 78, 012202 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.012202
12. A. Aubry and A. Derode, Phys. Rev. Lett. 102, 084301 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.084301
13. S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.100601
14. V. A. Marčenko and L. A. Pastur, Math. USSR-Sb 1, 457 (1967). 0025-5734 10.1070/SM1967v001n04ABEH001994
15. M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q-H. Park, and W. Choi, Nat. Photonics 6, 581 (2012). NPAHBY 1749-4885 10.1038/nphoton.2012.159
16. Z. Shi and A. Z. Genack, Phys. Rev. Lett. 108, 043901 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.043901
17. D. V. Voiculescu, J. Operator Theory 18, 223 (1987);
18. D. V. Voiculescu, K. J. Dykema, and A. Nica, Free Random Variables (American Mathematical Society, Providence, 1992).
19. A. M. Tulino and S. Verdú, Random Matrix Theory and Wireless Communications (Now Publishers, Delft, The Netherlands, 2004).
20. See Supplementary Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.111.063901 for the proof of Eq., a study of filtering with a nonrandom subset of channels, and a discussion of the phase transition in the Dyson gas picture.
21. A. Goetschy and A. D. Stone (unpublished).
22. Y. V. Nazarov, Phys. Rev. Lett. 73, 134 (1994). PRLTAO 0031-9007 10.1103/PhysRevLett.73.134
23. H. U. Baranger, D. P. DiVincenzo, R. A. Jalabert, and A. D. Stone, Phys. Rev. B 44, 10637 (1991). PRBMDO 0163-1829 10.1103/PhysRevB.44.10637
24. C. W. J. Beenakker, J. C. J. Paasschens, and P. W. Brouwer, Phys. Rev. Lett. 76, 1368 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.1368
25. N. A. Bruce and J. T. Chalker, J. Phys. A 29, 3761 (1996). JPHAC5 0305-4470 10.1088/0305-4470/29/14/005 (Pubitemid 126096467)
26. Z. Shi (private communication).
27. T. M. Cover and J. A. Thomas, Elements of information Theory (Wiley, New York, 1991).