Theory of electromagnetic time-reversal mirrors

IEEE Transactions on Antennas and Propagation

Volumn 58, Issue 10, 2010, Pages 3139-3149

  De Rosny, Julien ^a   Lerosey, Geoffroy ^a   Fink, Mathias ^a  

^a INSTITUT LANGEVIN   (France)

Author keywords

Antenna arrays; diffraction; microwaves; phase conjugate mirrors; plasmonic; sub wavelength focusing; time reversal; time symmetry

Indexed keywords

PHASE CONJUGATE MIRRORS; PLASMONIC; SUB-WAVELENGTH; TIME-REVERSAL; TIME-SYMMETRY;

ANTENNA PHASED ARRAYS; DIFFRACTION; ELECTROMAGNETIC WAVES; ELECTROMAGNETISM; FOCUSING; GREEN'S FUNCTION; MAXWELL EQUATIONS; MIRRORS; PLASMONS; RADIO WAVES;

ANTENNAS;

EID: 77957759702     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2010.2052567     Document Type: Article

References (52)

1. M. Fink, C. Prada, F. Wu, and D. Cassereau, "Self focusing in inhomogeneous media with time reversal acoustic mirrors", in Proc. IEEE Ultrasonics Symp., Oct. 3-6, 1989, pp. 681-686.
2. M. Fink and C. Prada, "Acoustic time-reversal mirrors", Inverse Problems, vol. 17, no. 1, pp. R1-R38, 2001.
3. M. Skolnik, J. I. Sherman, and F. J. Ogg, "Statistically designed density-tapered arrays", IEEE Trans. Antennas Propag., vol. 12, pp. 408-417, Jul. 1964.
4. B. Sichelstiel, W. Waters, and T. Wild, "Self-focusing array research model", IEEE Trans. Antennas Propag., vol. 12, pp. 150-154, Mar. 1964.
5. G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, "Time reversal of electromagnetic waves", Phys. Rev. Lett., vol. 92, no. 19, p. 193904, 2004.
6. B. E. Henty and D. D. Stancil, "Multipath-enabled super-resolution for RF and microwave communication using phase-conjugate arrays", Phys. Rev. Lett., vol. 93, no. 24, p. 243904, 2004.
7. G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, "Time reversal of wideband microwaves", Appl. Phys. Lett., vol. 88, no. 15, p. 154101, 2006.
8. G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, "Time reversal of electromagnetic waves and telecommunication", Radio Sci., vol. 40, no. 6, p. RS612, 2005.
9. T. Strohmer, M. Emami, J. Hansen, G. Papanicolaou, and A. Paulraj, "Application of time-reversal with MMSE equalizer to UWB communications", in Proc. IEEE Global Telecommunications Conf., Dec. 2004, vol. 59, pp. 3123-3127, 1.
10. A. B. Ruffin, J. Van Rudd, J. Decker, L. Sanchez-Palencia, L. Le Hors, J. F. Whitaker, and T. B. Norris, "Time reversal terahertz imaging", IEEE J. Quantum Electron., vol. 38, pp. 1110-1119, Aug. 2002.
11. T. Buma and T. B. Norris, "Time reversal three-dimensional imaging using single-cycle terahertz pulses", Appl. Phys. Lett., vol. 84, no. 12, pp. 2196-2198, Mar. 2004.
12. P. Kosmas and C. M. Rappaport, "Time reversal with the FDTD method for microwave breast cancer detection", IEEE Trans. Microw. Theory Tech., vol. 53, no. 7, pp. 2317-2323, 2005.
13. G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, "Focusing beyond the diffraction limit with far-field time reversal", Science, vol. 315, p. 1120, 2007.
14. V. Fusco and O. Malyuskin, "Active phase conjugating lens with subwavelength resolution capability", IEEE Trans. Antennas Propag., to be published.
15. O. Malyuskin and V. Fusco, "Subwavelength source resolution using phase conjugating lens assisted with evanescent-to-propagating spectrum conversion", IEEE Trans. Antennas Propag., 2010, to be published.
16. D. Cassereau and M. Fink, "Time-reversal of ultrasonic fields. III. Theory of the closedtime-reversal cavity", IEEE Trans. Ultrason. Ferroelect. Freq. Control, vol. 39, no. 5, pp. 579-592, 1992.
17. D. Dowling and D. Jackson, "Narrow-band performance of phase-conjugate arrays in dynamic random media", J. Acoust. Soc. Am., vol. 91, no. 6, pp. 3257-3277, 1992.
18. K. Solna, "Focusing of time-reversed reflections", Waves Random Media, vol. 12, no. 3, pp. 365-385, 2002.
19. B. A. van Tiggelen, "Green function retrieval and time reversal in a disordered world", Phys. Rev. Lett., vol. 91, p. 243904, 2003.
20. C. Oestges, A. Kim, G. Papanicolaou, and A. Paulraj, " Characterization of space-time focusing in time-reversed random fields", IEEE Trans. Antennas Propag., vol. 53, pp. 283-293, 2005.
21. P. Blomgren and G. Papanicolaou, "Super-resolution in time-reversal acoustics", J. Acoust. Soc. Am., vol. 111, no. 1, pp. 230-248, 2001.
22. J. de Rosny, A. Tourin, A. Derode, B. van Tiggelen, and M. Fink, "Relation between time reversal focusing and coherent backscattering in multiple scattering media: A diagrammatic approach", Phys. Rev. E Stat. Nonlin. Soft Matter Phys., vol. 70, no. 4, pt. 2, p. 046601, Oct. 2004.
23. R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, "Theory of the time reversal cavity for electromagnetic fields", Opt. Lett., vol. 32, no. 21, pp. 3107-3109, 2007. (Pubitemid 351328447)
24. D. H. Chambers and J. G. Berryman, "Analysis of the time-reversal operator for a small spherical scatterer in an electromagnetic field", IEEE Trans. Antennas Propag., vol. 52, pp. 1729-1738, 2004.
25. A. J. Devaney, "Time reversal imaging of obscured targets from multistatic data", IEEE Trans. Antennas Propag., vol. 53, pp. 1600-1610, May 2005.
26. M. E. Yavuz and F. L. Teixeira, "Full time-domain dort for ultrawideband fields in dispersive, random inhomogeneous media", IEEE Trans. Antennas Propag., vol. 54, pp. 2305-2315, 2006.
27. G. Micolau, M. Saillard, and P. Borderies, "Dort method as applied to ultrawideband signals for detection of buried objects", IEEE Trans. Geosci. Remote Sensing, vol. 41, pp. 1813-1820, Aug. 2003.
28. C. Prada, S. Manneville, D. Spoliansky, and M. Fink, "Decomposition of the time reversal operator: Detection and selective focusing on two scatterers", J. Acoust. Society Amer., vol. 99, no. 4, pp. 2067-2076, 1996.
29. J. Jackson, Classical Electrodynamics. New York: Wiley, 1975, ch. 6, pp. 245-250.
30. C. Altman, A. Schatzberg, and K. Suchy, "Symmetry transformations and time reversal of currents and fields in bounded (bi) anisotropic media", IEEE Trans. Antennas Propag., vol. 32, pp. 1204-1210, Nov. 1984.
31. A. Sommerfeld, Elektrodynamik. Leipzig: Geest & Portig, 1961, ch. 26B.
32. L. B. Felsen and N. Marcuvitz, "Radiation and scattering of waves", in Series on Electromagnetic Waves, I. Press, Ed. New York: IEEE Press, 1994, ch. 1, p. 31.
33. K. Suchy, "The velocity of a wave packet in an anisotropic absorbing medium", J. Plasma Phys., vol. 8, p. 33, Aug. 1972.
34. J. A. Bennett, "Complex rays for radio waves in an absorbing ionosphere", IEEE Proc., vol. 62, pp. 1577-1585, Nov. 1974.
35. C. Krowne, "Electromagnetic theorems for complex anisotropic media", IEEE Trans. Antennas Propag., vol. 32, pp. 1224-1230, Nov. 1984.
36. I. V. Lindell, "Variational method for the analysis of lossless bi-isotropic (nonreciprocal chiral) waveguides", IEEE Trans. Microw. Theory Tech., vol. 40, pp. 402-405, Feb. 1992.
37. I. V. Lindell, A. Sihvola, and K. Suchy, "Six-vector formalism in electromagnetics of bianisotropic media", J. Electromagn. Waves Appl., vol. 9, pp. 887-903, 1995.
38. C. A. Balanis, Antenna Theory Analysis and Design. New York: Wiley-Interscience, 2005, ch. 3.
39. J. de Rosny and M. Fink, "Overcoming the diffraction limit in wave physics using a time-reversal mirror and a novel acoustic sink", Phys. Rev. Lett., vol. 89, no. 12, p. 124301, 2002.
40. S. J. Orfanidis, "Electromagnetic Waves and Antennas", 2009 [Online]. Available: http://www.ece.rutgers.edu/~orfanidi/ewa
41. T. Marshall, "Numerical Electromagnetics Code", [Online]. Available: http://www.nec2.org
42. A. Derode, A. Tourin, J. de Rosny, M. Tanter, S. Yon, and M. Fink, "Taking advantage of multiple scattering to communicate with timereversal antennas", Phys. Rev. Lett., vol. 90, no. 1, p. 014301, Jan. 2003.
43. H. T. Nguyen, J. B. Andersen, and G. F. Pedersen, "The potential use of time reversal techniques in multiple element antenna systems", IEEE Commun. Lett., vol. 9, no. 1, pp. 40-42, Jan. 2005.
44. J. B. Pendry, "Negative refraction makes a perfect lens", Phys. Rev. Lett., vol. 85, no. 18, pp. 3966-3969, Oct. 2000.
45. N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens", Science, vol. 308, no. 5721, pp. 534-537, 2005. (Pubitemid 40570580)
46. D. Melville and R. Blaikie, "Super-resolution imaging through a planar silver layer", Opt. Express, vol. 13, no. 6, pp. 2127-2134, 2005. (Pubitemid 40548777)
47. T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, and R. Hillenbrand, "Near-field microscopy through a SiC superlens", Science, vol. 313, no. 5793, p. 1595, 2006.
48. S. A. Maier, M. L. Brongersma, and H. A. Atwater, "Electromagnetic energy transport along arrays of closely spaced metal rods as an analogue to plasmonic devices", Appl. Phys. Lett., vol. 78, no. 1, pp. 16-18, 2001.
49. M. I. Stockman, "Nanofocusing of optical energy in tapered plasmonic waveguides", Phys. Rev. Lett., vol. 93, no. 13, p. 137404, Sep. 2004.
50. K. Wang and D. M. Mittleman, "Metal wires for terahertz wave guiding", Nature, vol. 432, no. 7015, pp. 376-379, Nov. 2004.
51. A. Sentenac and P. C. Chaumet, "Subdiffraction light focusing on a grating substrate", Phys. Rev. Lett., vol. 101, no. 1, p. 013901, 2008.
52. J. de Rosny and M. Fink, "Focusing properties of near-field time reversal", Phys. Rev. A: Atomic, Molecular, Opt. Phys., vol. 76, no. 6, p. 065801, 2007.