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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 23 — Nov. 9, 2009
  • pp: 21289–21301

Lamellar grating optimization for miniaturized fourier transform spectrometers

Onur Ferhanoglu, Hüseyin R. Seren, Stephan Lüttjohann, and Hakan Urey  »View Author Affiliations


Optics Express, Vol. 17, Issue 23, pp. 21289-21301 (2009)
http://dx.doi.org/10.1364/OE.17.021289


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Abstract

Microfabricated Lamellar grating interferometers (LGI) require fewer components compared to Michelson interferotemeters and offer compact and broadband Fourier transform spectrometers (FTS) with good spectral resolution, high speed and high efficiency. This study presents the fundamental equations that govern the performance and limitations of LGI based FTS systems. Simulations and experiments were conducted to demonstrate and explain the periodic nature of the interferogram envelope due to Talbot image formation. Simulations reveal that the grating period should be chosen large enough to avoid Talbot phase reversal at the expense of mixing of the diffraction orders at the detector. Optimal LGI grating period selection depends on a number of system parameters and requires compromises in spectral resolution and signal-to-bias ratio (SBR) of the interferogram within the spectral range of interest. New analytical equations are derived for spectral resolution and SBR of LGI based FTS systems.

© 2009 OSA

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(300.6290) Spectroscopy : Spectroscopy, four-wave mixing
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 14, 2009
Revised Manuscript: October 23, 2009
Manuscript Accepted: November 1, 2009
Published: November 6, 2009

Citation
Onur Ferhanoglu, Hüseyin R. Seren, Stephan Lüttjohann, and Hakan Urey, "Lamellar grating optimization for miniaturized fourier transform spectrometers," Opt. Express 17, 21289-21301 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-23-21289


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References

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