Abstract

Polycentric focus effect of time-reversal (TR) electromagnetic field is found in a rectangular resonant cavity. Theoretical deduction shows that the effect is due to the mirror symmetry of the cavity and the maximum number of focus points is 27 including 1 main focus point and 26 secondary focus points. A case of 6 focus points is calculated, in which the numerical results are consistent with the theoretical predictions, and particularly the 5 secondary focus points have directly resulted in inaccurate imaging and pulse signal interception.

© 2013 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
    [CrossRef] [PubMed]
  2. G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
    [CrossRef]
  3. P. Sundaralingam, V. Fusco, D. Zelenchuk, and R. Appleby, “Detection of an object in a reverberant environment using direct and differential time reversal,” 6th European Conference on Antennas and Propagation (2012), pp. 1115–1117.
  4. N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).
  5. P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).
  6. I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.
  7. B. Wu, W. Cai, M. Alrubaiee, M. Xu, and S. K. Gayen, “Time reversal optical tomography: locating targets in a highly scattering turbid medium,” Opt. Express19(22), 21956–21976 (2011).
    [CrossRef] [PubMed]
  8. A. Khaleghi, G. El Zein, and I. H. Naqvi, “Demonstration of time-reversal in indoor ultra-wideband communication: time domain measurement,” IEEE ISWCS (2007), pp. 465–468.
  9. X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).
  10. R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).
  11. Y. W. Jin and J. M. F. Moura, “Time-reversal detection using antenna arrays,” IEEE Trans. Signal Proc.57(4), 1396–1414 (2009).
  12. R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
    [CrossRef] [PubMed]
  13. O. Kuzucu, Y. Okawachi, R. Salem, M. A. Foster, A. C. Turner-Foster, M. Lipson, and A. L. Gaeta, “Spectral phase conjugation via temporal imaging,” Opt. Express17(22), 20605–20614 (2009).
    [CrossRef] [PubMed]
  14. Y. Sivan and J. B. Pendry, “Broadband time-reversal of optical pulses using a switchable photonic-crystal mirror,” Opt. Express19(15), 14502–14507 (2011).
    [CrossRef] [PubMed]
  15. J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

2013 (2)

P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

2011 (2)

2010 (2)

J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

2009 (2)

2007 (3)

N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

2006 (1)

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

Aleem, S. A.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Ali, S. B.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Alrubaiee, M.

Besnier, P.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Cai, W.

Carminati, R.

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
[CrossRef] [PubMed]

de Rosny, J.

J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

Derode, A.

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

El, G.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Fang, G. Y.

P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).

Fink, M.

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

Foster, M. A.

Gaeta, A. L.

Gayen, S. K.

Guo, N.

N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).

Jin, Y. W.

Y. W. Jin and J. M. F. Moura, “Time-reversal detection using antenna arrays,” IEEE Trans. Signal Proc.57(4), 1396–1414 (2009).

Kuzucu, O.

Lai, S. J.

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

Lerosey, G.

J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

Lipson, M.

Liu, X. F.

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

Moura, J. M. F.

Y. W. Jin and J. M. F. Moura, “Time-reversal detection using antenna arrays,” IEEE Trans. Signal Proc.57(4), 1396–1414 (2009).

Naqvi, I. H.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Okawachi, Y.

Pendry, J. B.

Pierrat, R.

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, “Theory of the time reversal cavity for electromagnetic fields,” Opt. Lett.32(21), 3107–3109 (2007).
[CrossRef] [PubMed]

Qiu, R. C.

N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).

Sadler, B. M.

N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).

Salem, R.

Sivan, Y.

Tourin, A.

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

Turner-Foster, A. C.

Usman, O.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Vandenbem, C.

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

Wang, B. Z.

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

Wu, B.

Xiao, S. Q.

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

Xu, M.

Zhang, P.

P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).

Zhang, X. J.

P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).

Appl. Phys. Lett. (1)

G. Lerosey, J. de Rosny, A. Tourin, A. Derode, and M. Fink, “Time reversal of wideband microwaves,” Appl. Phys. Lett.88(15), 154101 (2006).
[CrossRef]

IEEE Geosci. Remote Sci. Lett. (1)

P. Zhang, X. J. Zhang, and G. Y. Fang, “Comparison of the imaging resolutions of time reversal and back-projection algorithms in EM inverse scattering,” IEEE Geosci. Remote Sci. Lett.10(2), 357–361 (2013).

IEEE Trans. Antennas Propag. (2)

X. F. Liu, B. Z. Wang, S. Q. Xiao, and S. J. Lai, “Post-time-reversed MIMO ultrawideband transmission scheme,” IEEE Trans. Antennas Propag.58(5), 1731–1738 (2010).

J. de Rosny, G. Lerosey, and M. Fink, “Theory of electromagnetic time-reversal mirrors,” IEEE Trans. Antennas Propag.58(10), 3139–3149 (2010).

IEEE Trans. Signal Proc. (1)

Y. W. Jin and J. M. F. Moura, “Time-reversal detection using antenna arrays,” IEEE Trans. Signal Proc.57(4), 1396–1414 (2009).

IEEE Trans. Wireless Comm. (1)

N. Guo, B. M. Sadler, and R. C. Qiu, “Reduced-complexity UWB time-reversal techniques and experimental results,” IEEE Trans. Wireless Comm.6(12), 4221–4226 (2007).

Opt. Express (3)

Opt. Lett. (1)

Science (1)

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-Field time reversal,” Science315(5815), 1120–1122 (2007).
[CrossRef] [PubMed]

Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna (1)

R. Pierrat, C. Vandenbem, M. Fink, and R. Carminati, “Subwavelength focusing inside an open disordered medium by time reversal at a single point antenna,” Phys. Rev. A 87, 041801(R) (2013).

Other (3)

P. Sundaralingam, V. Fusco, D. Zelenchuk, and R. Appleby, “Detection of an object in a reverberant environment using direct and differential time reversal,” 6th European Conference on Antennas and Propagation (2012), pp. 1115–1117.

A. Khaleghi, G. El Zein, and I. H. Naqvi, “Demonstration of time-reversal in indoor ultra-wideband communication: time domain measurement,” IEEE ISWCS (2007), pp. 465–468.

I. H. Naqvi, S. A. Aleem, O. Usman, S. B. Ali, P. Besnier, and G. El, Zein, “Robustness of a time-reversal ultra-wideband system in non-stationary channel environments,” Wireless Communications and Networking Conference: PHY and Fundamentals (2012), pp. 37–41.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics