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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 25 — Dec. 10, 2007
  • pp: 16431–16441

Fresnel diffraction effects in Fourier-transform arrayed waveguide grating spectrometer

J. A. Rodrigo, P. Cheben, T. Alieva, M. L. Calvo, M. Florjańczyk, S. Janz, A. Scott, B. Solheim, D.-X. Xu, and A. Delâge  »View Author Affiliations


Optics Express, Vol. 15, Issue 25, pp. 16431-16441 (2007)
http://dx.doi.org/10.1364/OE.15.016431


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Abstract

We present an analysis of Fourier-transform arrayed waveguide gratings in the Fresnel diffraction regime. We report a distinct spatial modulation of the interference pattern referred to as the Moiré-Talbot effect. The effect and its influence in a FT AWG device is explained by deriving an original analytical expression for the modulated field, and is also confirmed by numerical simulations using the angular spectrum method to solve the Fresnel diffraction integral. We illustrate the retrieval of spectral information in a waveguide Fourier-transform spectrometer in the presence of the Moiré-Talbot effect. The simulated device comprises two interleaved waveguide arrays each with 180 waveguides and the interference order of 40. It is designed with a Rayleigh spectral resolution of 0.1 nm and 8 nm bandwidth at wavelength λ~1.5 µm. We also demonstrate by numerical simulations that the spectrometer crosstalk is reduced from -20 dB to -40 dB by Gaussian apodization.

© 2007 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(130.1750) Integrated optics : Components
(130.3120) Integrated optics : Integrated optics devices
(230.7380) Optical devices : Waveguides, channeled
(230.7390) Optical devices : Waveguides, planar
(250.5300) Optoelectronics : Photonic integrated circuits

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 25, 2007
Revised Manuscript: November 20, 2007
Manuscript Accepted: November 20, 2007
Published: November 27, 2007

Citation
J. A. Rodrigo, P. Cheben, T. Alieva, M. L. Calvo, M. Florjanczyk, S. Janz, A. Scott, B. Solheim, D. X. Xu, and A. Deláge, "Fresnel diffraction effects in Fourier-transform arrayed waveguide grating spectrometer," Opt. Express 15, 16431-16441 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-25-16431


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References

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