OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 5 — Feb. 10, 2010
  • pp: 904–909

Maclaurin-series method for calculating dispersion in arrayed-waveguide grating multiplexers

Tomohiro Hirose and Kazumasa Takada  »View Author Affiliations


Applied Optics, Vol. 49, Issue 5, pp. 904-909 (2010)
http://dx.doi.org/10.1364/AO.49.000904


View Full Text Article

Enhanced HTML    Acrobat PDF (589 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a Maclaurin-series method for calculating the dispersion from phase error and amplitude distributions in arrayed waveguide grating (AWG) multiplexers. By using this method, we can easily derive the intercept, the gradient, and the curvature of the dispersion in the center frequency region of a passband. A third-order Maclaurin series was calculated by using the measured phase error and amplitude distributions of AWGs having a channel frequency spacing of 12.5 GHz . The calculated results are in good agreement with the dispersions measured with an optical network analyzer. We also discuss the physical effect of the phase error on dispersion by assuming certain limited cases.

© 2010 Optical Society of America

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.7408) Integrated optics : Wavelength filtering devices

ToC Category:
Integrated Optics

History
Original Manuscript: November 9, 2009
Manuscript Accepted: January 12, 2010
Published: February 8, 2010

Citation
Tomohiro Hirose and Kazumasa Takada, "Maclaurin-series method for calculating dispersion in arrayed-waveguide grating multiplexers," Appl. Opt. 49, 904-909 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-5-904


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. K. Smit, “New focusing and dispersive planar components based on an optical phase array,” Electron. Lett. 24, 385-386 (1988). [CrossRef]
  2. H. Takahashi, K. Oda, H. Toba, and Y. Inoue, “Transmission characteristics of arrayed waveguide N×N wavelength multiplexers,” J. Lightwave Technol. 13, 447-455 (1995). [CrossRef]
  3. H. Yamada, K. Okamoto, A. Kaneko, and A. Sugita “Dispersion resulting from phase and amplitude errors in arrayed-waveguide grating multiplexers-demultiplexers,” Opt. Lett. 25, 569-571 (2000). [CrossRef]
  4. M. C. Parker and S. D. Walker, “Design of arrayed-waveguide gratings using hybrid Fourier-Fresnel transform techniques,” IEEE J. Sel. Top. Quantum Electron. 5, 1379-1384 (1999). [CrossRef]
  5. J. Gehler and W. Spahn, “Dispersion measurement of arrayed-waveguide gratings by Fourier transforms spectroscopy,” Electron. Lett. 36, 338-339 (2000). [CrossRef]
  6. M. E. Marhic and X. Yi, “Calculation of dispersion in arrayed waveguide grating demultiplexers by a shifting-image method,” IEEE J. Sel. Top. Quantum Electron. 8, 1149-1157 (2002). [CrossRef]
  7. K. Takada, H. Yamada, and Y. Inoue, “Optical low coherence method for characterizing silica-based arrayed-waveguide grating multiplexers,” J. Lightwave Technol. 141677-1689(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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited