OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 12 — Apr. 20, 2013
  • pp: 2659–2669

Diffractive optical elements for mode-division multiplexing of temporal signals with the aid of Laguerre–Gaussian modes

Shoam Shwartz, Michael Golub, and Shlomo Ruschin  »View Author Affiliations

Applied Optics, Vol. 52, Issue 12, pp. 2659-2669 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (1018 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Optical aspects of space-division multiplexing with orthogonal modes of coherent light were considered in theory and experiments with the coherent optical correlator. We resorted to the mathematical tool of generating functions and technologies of diffractive optical elements to implement complex spatial filters matched to rotationally symmetrical transverse modes. Successful multiplexing and demultiplexing in free-space transmission of low-frequency temporally modulated signals through different spatial modes was demonstrated. Experimental results show low cross talk between different mode channels and feasibility of further applications in multimode fiber optical communication data links.

© 2013 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(060.4230) Fiber optics and optical communications : Multiplexing
(140.3300) Lasers and laser optics : Laser beam shaping
(060.2605) Fiber optics and optical communications : Free-space optical communication

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: December 17, 2012
Revised Manuscript: March 11, 2013
Manuscript Accepted: March 15, 2013
Published: April 15, 2013

Shoam Shwartz, Michael Golub, and Shlomo Ruschin, "Diffractive optical elements for mode-division multiplexing of temporal signals with the aid of Laguerre–Gaussian modes," Appl. Opt. 52, 2659-2669 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. Berdagué and P. Facq, “Mode division multiplexing in optical fibers,” Appl. Opt. 21, 1950–1955 (1982). [CrossRef]
  2. S. Murshid, B. Grossman, and P. Narakorn, “Spatial domain multiplexing: a new dimension in fiber optic multiplexing,” Opt. Laser Technol. 40, 1030–1036 (2008). [CrossRef]
  3. E. Ip, A. P. T. Lau, D. J. F. Barros, and J. M. Kahn, “Coherent detection in optical fiber systems,” Opt. Express 16, 753–791 (2008). [CrossRef]
  4. M. B. Shemirani, W. Mao, R. A. Panicker, and J. M. Kahn, “Principal modes in graded-index multimode fiber in presence of spatial- and polarization-mode coupling,” J. Lightwave Technol. 27, 1248–1261 (2009). [CrossRef]
  5. S. Randel, R. Ryf, A. Sierra, P. J. Winzer, A. H. Gnauck, C. A. Bolle, R.-J. Essiambre, D. W. Peckham, A. McCurdy, and R. Lingle, “6×56  Gb/s mode-division multiplexed transmission over 33 km few-mode fiber enabled by 6×6 MIMO equalization,” Opt. Express 19, 16697–16707 (2011). [CrossRef]
  6. C.-P. Yu, J.-H. Liou, Y.-J. Chiu, and H. Taga, “Mode multiplexer for multimode transmission in multimode fibers,” Opt. Express 19, 12673–12678 (2011). [CrossRef]
  7. U. Levy, H. Kobrinsky, and A. A. Friesem, “Angular multiplexing for multichannel communication in a single fiber,” IEEE J. Quantum Electron 17, 2215–2224 (1981). [CrossRef]
  8. U. W. Krackhardt, R. Klug, and K.-H. Brenner, “Broadband parallel-fiber optical link for short-distance interconnection with multimode fibers,” Appl. Opt. 39, 690–697 (2000). [CrossRef]
  9. S. N. Khonina, V. V. Kotlyar, and V. A. Soifer, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543–1557 (2001).
  10. M. A. Golub, L. Shimshi, N. Davidson, and A. A. Friesem, “Mode-matched phase diffractive optical element for detecting laser modes with spiral phases,” Appl. Opt. 46, 7823–7828 (2007). [CrossRef]
  11. J. A. Anguita, M. A. Neifeld, and B. V. Vasic, “Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link,” Appl. Opt. 47, 2414–2429 (2008). [CrossRef]
  12. I. B. Djordjevic and M. T. Arabaci, “LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication,” Opt. Express 18, 24722–24728 (2010). [CrossRef]
  13. A. Gatto, M. Tacca, P. Martelli, P. Boffil, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Opt. 13, 064018 (2011). [CrossRef]
  14. Z. Wang, N. Zhang, and X.-C. Yuan, “High-volume optical vortex multiplexing and de-multiplexing for free-space optical communication,” Opt. Express 19, 482–492 (2011). [CrossRef]
  15. S. H. Murshid, A. Chakravarty, and R. Biswas, “Attenuation and modal dispersion models for spatially multiplexed co-propagating helical optical channels in step index fibers,” Opt. Laser Technol. 43, 430–436 (2011). [CrossRef]
  16. J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. E. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics 138, 1–9 (2012).
  17. D. Marcuse, Theory of Dielectric Optical Waveguides(Academic, 1974).
  18. S. Shwartz, M. A. Golub, and S. Ruschin, “Generating function approach for creation of coherent multimode beams by diffractive optics,” J. Mod. Opt. 59, 83–89 (2012). [CrossRef]
  19. S. Fan and J. M. Kahn, “Principal modes in multi-mode waveguides,” Opt. Lett. 30, 135–137 (2005). [CrossRef]
  20. M. A. Golub, A. M. Prokhorov, I. N. Sissakian, and V. A. Soifer, “Synthesis of spatial filters for investigation of the transverse mode composition of coherent radiation,” Quantum Electron. 12, 1208–1209 (1982). [CrossRef]
  21. V. A. Soifer and M. A. Golub, Laser Beam Mode Selection by Computer Generated Holograms (CRC, 1994).
  22. F. Dubois, P. Emplit, and O. Hugon, “Selective mode excitation in graded-index multimode fiber by a computer-generated optical mask,” Opt. Lett. 19, 433–435 (1994). [CrossRef]
  23. S. Makki and J. Leger, “Mode shaping of a graded-reflectivity-mirror unstable resonator with an intracavity phase element,” IEEE J. Quant. Electron. 37, 80–86 (2001). [CrossRef]
  24. R. Oron, N. Davidson, A. A. Friesem, E. Hasman, and E. Wolf, “Transverse mode shaping and selection in laser resonators,” Prog. Opt. 42, 325–386 (2001). [CrossRef]
  25. S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakonen, and J. Turunen, “Gauss–Laguerre modes with different indices in prescribed diffraction orders of a diffractive phase element,” Opt. Commun. 175, 301–308 (2000). [CrossRef]
  26. M. R. Duparre, B. Luedge, and S. Schroeter, “Etalons for pure and composite transversal modes,” Proc. SPIE 6101, 61011C (2006). [CrossRef]
  27. A. Syouji, K. Kurihara, A. Otomo, and S. Saito, “Diffraction-grating-type phase converters for conversion of Hermite–Laguerre–Gaussian mode into Gaussian mode,” Appl. Opt. 49, 1513–1517 (2010). [CrossRef]
  28. D. Flamm, D. Naidoo, C. Schulze, A. Forbes, and M. Duparré, “Mode analysis with a spatial light modulator as a correlation filter,” Opt. Lett. 37, 2478–2480 (2012). [CrossRef]
  29. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1998).
  30. W. H. Lee, “Binary computer-generated holograms,” Appl. Opt. 18, 3661–3669 (1979). [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.

Supplementary Material

» Media 1: AVI (2136 KB)     
» Media 2: AVI (2136 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited