OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 27, Iss. 2 — Jan. 15, 2002
  • pp: 89–91

Blind phase retrieval and source separation of electromagnetic fields

Jyh-Long Chern, Ching-Chung Li, and Sheng-Hui Tseng  »View Author Affiliations

Optics Letters, Vol. 27, Issue 2, pp. 89-91 (2002)

View Full Text Article

Acrobat PDF (133 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Blind source separation of two electromagnetic fields is investigated. The difficulty of this task lies in the fact that only the power, which is the square of the sum of the electromagnetic fields, can be directly measured; the cross term of the electromagnetic fields is inevitable, and a strong correlation occurs in blind deconvolution. However, the relative phase is physically different from the field intensities, and, hence, extracting the phase during separation seems inconceivable. Our results demonstrate that the intensities and the relative phase of two electromagnetic waves can be determined with eigenvalue problem formalism even when the mixing processes are completely unknown.

© 2002 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(350.5030) Other areas of optics : Phase
(350.7420) Other areas of optics : Waves

Jyh-Long Chern, Ching-Chung Li, and Sheng-Hui Tseng, "Blind phase retrieval and source separation of electromagnetic fields," Opt. Lett. 27, 89-91 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. J. Maddox, Nature 369, 517 (1994).
  2. F. Cristopher and C. Morrisean, Proc. Xeme Coll. CRETSI, 1017 (1985).
  3. S. Williamson, M. Hoke, G. Stroink, and M. Kotani, eds., Advances in Biomagnetism (Plenum, New York, 1990).
  4. H. W. Strube, Signal Process. 3, 355 (1981).
  5. C. Jutten and J. Herault, Signal Process. 24, 1 (1991).
  6. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 88, 6462 (1991).
  7. A. Cichocki and R. Unbehauen, Neural Networks for Optimization and Signal Processing (Wiley, New York, 1995).
  8. A. J. Bell and T. J. Sejnowski, Neural Comput. 7, 1129 (1995).
  9. P. Comon, Signal Process. 36, 287 (1994).
  10. D. Yellin and E. Weinstein, IEEE Trans. Signal Process. 42, 2158 (1994).
  11. S. Haykin, ed., Blind Deconvolution (Prentice-Hall, Englewood Cliffs, N.J., 1994).
  12. L. Molgedey and H. G. Schuster, Phys. Rev. Lett. 72, 3634 (1994).
  13. J.-Y. Ko, M.-C. Ho, J.-L. Chern, R.-R. Hsu, and C.-S. Wang, Phys. Rev. E 58, 4872 (1998).
  14. S. C. Yang, CDMA RF System Engineering (Artech House, Norwood, Mass., 1998); more-advanced information on the development of code-division multiple access can be found at http://www.3gpp.org.
  15. F. C. Moon, Chaotic and Fractal Dynamics (Wiley, New York, 1992).
  16. V. Doya, O. Legrand, and F. Mortessagne, Opt. Lett. 26, 872 (2001).
  17. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems (Kluwer, Dordrecht, The Netherlands, 1999).
  18. Available, e.g., from New Focus, http://www.NewFocus.com.
  19. B. L. Shoop, Photonic Analog-to-Digital Conversion (Springer-Verlag, Berlin, 2001).
  20. F. Ehlers and H. G. Schuster, IEEE Trans. Signal Process. 45, 2608 (1997).

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited