OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 42, Iss. 24 — Aug. 20, 2003
  • pp: 4855–4859

General properties of N × M self-images in a strongly confined rectangular waveguide

Sailing He, Xianyu Ao, and Vladimir Romanov  »View Author Affiliations

Applied Optics, Vol. 42, Issue 24, pp. 4855-4859 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (141 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



General properties of N × M self-images in a strongly confined rectangular waveguide are given. Analytical formulas are derived for the positions, amplitudes, and phases of the N × M images at the end of multimode interference section. The formulas are verified with numerical simulation of a three-dimensional semivectorial beam propagation method.

© 2003 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(130.3120) Integrated optics : Integrated optics devices
(230.1360) Optical devices : Beam splitters
(230.7370) Optical devices : Waveguides

Original Manuscript: February 3, 2003
Revised Manuscript: May 26, 2003
Published: August 20, 2003

Sailing He, Xianyu Ao, and Vladimir Romanov, "General properties of N × M self-images in a strongly confined rectangular waveguide," Appl. Opt. 42, 4855-4859 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. B. Soldano, E. C. M. Pennings, “Optical multi-mode interference devices based on self-imaging: principles and applications,” J. Lightwave Technol. 13, 615–627 (1995). [CrossRef]
  2. L. B. Soldano, F. B. Veerman, M. K. Smit, B. H. Verbeek, A. H. Dubost, E. C. M. Pennings, “Planar monomode optical couplers based on multimode interference effects,” J. Lightwave Technol. 10, 1843–1850 (1992). [CrossRef]
  3. M. Bachmann, P. A. Besse, H. Melchior, “General self-imaging properties in N × N multimode interference couplers,” Appl. Opt. 33, 3905–3911 (1994). [CrossRef] [PubMed]
  4. M. Bachmann, P. A. Besse, H. Melchior, “Overlapping-image multimode interference couplers with a reduced number of self-images for uniform and nonuniform power splitting,” Appl. Opt. 34, 6898–6910 (1995). [CrossRef] [PubMed]
  5. E. Voges, R. Ulrich, “Self-imaging by phase coincidences in rectangular dielectric waveguides,” presented at the 6th European Microwave Conference, Rome, Italy, 14–17 September 1976.
  6. S. L. Tsao, P. C. Peng, “Design of two-dimensional 1 × 16 and 1 × 32 array waveguide optical power splitters,” in Optoelectronic Materials and Devices II, Y.-K. Su, P. Bhattacharya, eds., Proc. SPIE4078, 373–382 (2000). [CrossRef]
  7. S. M. Garner, S. S. Lee, V. Chuyanov, A. Chen, A. Yacoubian, W. H. Steier, L. R. Dalton, “Three-dimensional integrated optics using polymers,” IEEE J. Quantum Electron. 35, 1146–1155 (1999). [CrossRef]
  8. Y. L. Hsueh, M. C. Yang, H. C. Chang, “Three-dimensional noniterative full-vectorial beam propagation method based on alternating direction implicit method,” J. Lightwave Technol. 17, 2389–2397 (1999). [CrossRef]
  9. W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer (PML) boundary condition for the beam propagation method,” IEEE Photon. Technol. Lett. 8, 649–651 (1996). [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 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited