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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 18 — Jun. 20, 2007
  • pp: 3843–3849

Theoretical time-domain study of self-imaging properties in a multimode interference coupler

Hidenobu Hamada  »View Author Affiliations

Applied Optics, Vol. 46, Issue 18, pp. 3843-3849 (2007)

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We report a theoretical and numerical study of self-imaging properties, including time domain and pulse spreading, caused by modal group-delay dispersion in generalized N × N multimode interference devices achieved by using a mode-propagation analysis and finite-difference time-domain method. It was found that the spatial self-imaging condition does not realize temporal self-imaging but lets waveforms separate whose shape depends on input position and input field distribution. Pulse spreading, which is sensitive to beam diameter, has a very large variation ( 420   fs ) among input positions as well as rising to a very high 900   fs in response to a 21 fs and spatially Gaussian pulse for the conveniently smallest size with 10 channels.

© 2007 Optical Society of America

OCIS Codes
(230.7390) Optical devices : Waveguides, planar
(260.0260) Physical optics : Physical optics
(260.5950) Physical optics : Self-focusing

ToC Category:
Physical Optics

Original Manuscript: October 31, 2006
Revised Manuscript: February 9, 2007
Manuscript Accepted: March 12, 2007
Published: May 31, 2007

Hidenobu Hamada, "Theoretical time-domain study of self-imaging properties in a multimode interference coupler," Appl. Opt. 46, 3843-3849 (2007)

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  1. R. Ulrich, "Image formation by phase coincidences in optical waveguides," Opt. Commun. 13, 259-264 (1975). [CrossRef]
  2. O. Bryngdahl, "Image formation using self-imaging techniques," J. Opt. Soc. Am. 63, 416-419 (1973). [CrossRef]
  3. R. M. Jenkins, R. W. Deveraux, and J. M. Heaton, "Waveguide beam splitters and recombiners based on multimode propagation phenomena," Opt. Lett. 17, 991-993 (1992). [CrossRef] [PubMed]
  4. A. Ferreras, F. Rodríguez, E. Gómez-Salas, J. L. de Miguel, and F. Hernández-Gil, "Useful formulas for multimode interference power splitter/combiner design," IEEE Photon. Technol. Lett. 5, 1224-1227 (1993). [CrossRef]
  5. H. Hamada, "Preparation of a planar multimode interference coupler with a graded-index profile using polysilane with photobleaching properties," J. Opt. Soc. Am. B 23, 1666-1673 (2006). [CrossRef]
  6. K.-C. Lin and W.-Y. Lee, "Guided-wave 1.3/1.55 µm wavelength division multiplexer based on multimode interference," Electron. Lett. 32, 1259-1261 (1996). [CrossRef]
  7. L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995). [CrossRef]
  8. B. Jalali, S. Yegnanarayanan, T. Yoon, T. Yoshimoto, I. Rendina, and F. Coppinger, "Advances in silicon-on-insulator optoelectronics," IEEE J. Sel. Top. Quantum Electron. 4, 938-947 (1998). [CrossRef]
  9. M. Bachmann, P. A. Besse, and H. Melchior, "General self-imaging properties in N×N multimode interference couplers including phase relations," Appl. Opt. 33, 3905-3911 (1994). [CrossRef] [PubMed]
  10. D. C. Chang and E. F. Kuester, "A hybrid method for paraxial beam propagation in multimode optical waveguides," IEEE Trans. Microwave Theory Technol. MTT-29, 923-933 (1981). [CrossRef]
  11. G. W. Euliss, "Temporal characteristics and scaling considerations of multimode interference couplers," J. Lightwave Technol. 17, 1206-1210 (1999). [CrossRef]
  12. M. J. Yadlowsky and A. R. Mickelson, "Distributed loss and mode coupling and their effect on time-dependent propagation in multimode fibers," Appl. Opt. 32, 6664-6676 (1993). [CrossRef] [PubMed]
  13. L. Raddatz, I. H. White, D. G. Cunningham, and M. C. Nowell, "An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fiber links," J. Lightwave Technol. 16, 324-331 (1998). [CrossRef]
  14. S. Fan and J. M. Kahn, "Principal modes in multimode waveguides," Opt. Lett. 30, 135-137 (2005). [CrossRef] [PubMed]
  15. R. Pimpinella and A. Brunsting, "Differential mode delay (DMD) for multimode fiber types and its relationship to measured performance," presented at the Optical Fiber Communication Conference, Anaheim, Calif., March 2005, paper NWF2.
  16. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, 2000).
  17. C. Vazquez, F. J. Mustieles, and F. Hernandez-Gil, "Three-dimensional method for simulation of multimode interference couplers," J. Lightwave Technol. 13, 2296-2299 (1995). [CrossRef]

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