OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 21 — Oct. 21, 2013
  • pp: 24702–24710

Four-domain dual-combination operation invariance and time reversal symmetry of electromagnetic fields

Yingming Chen and Bing-Zhong Wang  »View Author Affiliations

Optics Express, Vol. 21, Issue 21, pp. 24702-24710 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (824 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Current experimental investigations about time reversal (TR) electromagnetic (EM) fields always depended on TR mirror (TRM). However, EM fields can perform reversal operation invariance in four domains connected by Fourier Transform. A multiplication table and an appropriate operating figure about EM fields’ invariance are derived to describe a series of dual combined operations in the four domains, in which there are at least 10 dual-combination operations different from current TRM operations which can equivalently actualize TR symmetry. Theoretically, centrosymmetric operations of spatial position vector and spatial spectrum vector may have the potential to promote different reversal mirrors.

© 2013 Optical Society of America

OCIS Codes
(070.5040) Fourier optics and signal processing : Phase conjugation
(200.3050) Optics in computing : Information processing
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(350.6980) Other areas of optics : Transforms
(080.5084) Geometric optics : Phase space methods of analysis
(080.6755) Geometric optics : Systems with special symmetry

ToC Category:
Physical Optics

Original Manuscript: August 9, 2013
Revised Manuscript: September 30, 2013
Manuscript Accepted: October 1, 2013
Published: October 8, 2013

Yingming Chen and Bing-Zhong Wang, "Four-domain dual-combination operation invariance and time reversal symmetry of electromagnetic fields," Opt. Express 21, 24702-24710 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. Lerosey, J. de Rosny, A. Tourin, A. Derode, G. Montaldo, and M. Fink, “Time reversal of electromagnetic waves,” Phys. Rev. Lett.92(19), 193904 (2004). [CrossRef] [PubMed]
  2. 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]
  3. D. H. Chambers and J. G. Berryman, “Time-reversal analysis for scatterer characterization,” Phys. Rev. Lett.92(2), 023902 (2004). [CrossRef] [PubMed]
  4. 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). [CrossRef]
  5. P. Sundaralingam and V. Fusco, “Effect of quantisation and under sampling on time reversal spatial and temporal focusing in highly reverberant environment,” Proceedings of the 41st European Microwave Conference (2011).
  6. Y. M. Chen and B.-Z. Wang, “Seeing time-reversal transmission characteristics through kinetic anti-ferromagnetic Ising chain,” Chinese Phys. B21(2), 026401 (2012). [CrossRef]
  7. V. Dmitriev, “Space-time reversal symmetry properties of electromagnetic green’s tensors for complex and bianisotropic media,” PIER48, 145–184 (2004). [CrossRef]
  8. T. Strohmer, M. Emami, J. Hansen, G. Papanicolaou, and A. J. Paulraj, “Application of time-reversal with MMSE equalizer to UWB communications,” IEEE Global Telecommunications Conferenc5, 3123–3127 (2004).
  9. 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]
  10. 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]
  11. I. H. Naqvi, G. E. Zein, G. Lerosey, J. de Rosny, P. Besnier, A. Tourin, and M. Fink, “Experimental validation of time reversal ultra wide-band communication system for high data rates,” IET Microw. J. Antenna Propag.4(5), 643–650 (2010). [CrossRef]
  12. C. Zhou, N. Guo, and R. C. Qiu, “Time reversed ultra-wideband (UWB) multiple-input multiple-output (MIMO) based on measured spatial channels,” IEEE Trans. Vehicular Technol.58(6), 2884–2898 (2009). [CrossRef]
  13. R. C. Qiu, C. Zhou, N. Guo, and J. Q. Zhang, “Time reversal with MISO for ultra-wideband communications: experimental results,” IEEE Antennas Wirel. Propag. Lett.5(1), 269–273 (2006). [CrossRef]
  14. P. Sundaralingam, V. Fusco, and N. B. Buchanan, “Spatial field localisation and data transfer in a reverberant environment using analog real time phase conjugation,” Proceedings of the 40th European Microwave Conference (Paris, 2010), pp. 565–568.
  15. Y. Zhang, X. Z. Zhu, and Z. Q. Zhao, “Application of TRM in detection of metal buried in wall,” International Conference on Computational Problem-Solving (2012), pp. 287–290.
  16. J. Feng, C. Liao, L. L. Chen, and H. J. Zhou, “Amplification of electromagnetic waves by time reversal mirror in a leaky reverberation chamber,” International Conference on Microwave and Millimeter Wave Technology (5, 2012), pp. 1–4.
  17. D. A. B. Miller, “Time reversal of optical pulses by four-wave mixing,” Opt. Lett.5(7), 300–302 (1980). [CrossRef] [PubMed]
  18. D. Marom, D. Panasenko, R. Rokitski, P.-C. Sun, and Y. Fainman, “Time reversal of ultrafast waveforms by wave mixing of spectrally decomposed waves,” Opt. Lett.25(2), 132–134 (2000). [CrossRef] [PubMed]
  19. 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]
  20. 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]
  21. E. P. Wigner, Group Theory and its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, 1959), Chap. 26.
  22. A. Yu. Butrym, O. V. Kazanskiy, and N. N. Kolchigin, “Van Atta’s array consist of tapered slot antennas for wideband pulse signals,” 5th International Conference on Antenna Theory and Techniques (Ukraine, 2005), pp. 221–223.
  23. K. W. Wong, L. Chiu, and Q. Xue, “A 2-D Van Atta Array Using Star-Shaped Antenna Elements,” IEEE Trans. Antenn. Propag.55(4), 1204–1206 (2007). [CrossRef]
  24. D. D. Ivanchenko, O. V. Kazansky, and N. N. Kolchigin, “About influence of mutual coupling on pattern and wave form of pulse reradiated by Van Atta's array of tapered slot antennas,” 6th International Conference on Ultrawideband and Ultrashort Impulse Signals (Sevastopol, Ukraine, 2012), pp. 81–82. [CrossRef]
  25. A. Khaleghi, “Measurement and analysis of ultra-wideband time reversal for indoor propagation channels,” Wirel. Pers. Commun.54(2), 307–320 (2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited