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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 12 — Apr. 20, 2013
  • pp: 2555–2563

Detailed calculation of spectral noise caused by measurement errors of Mach–Zehnder interferometer optical path phases in a spatial heterodyne spectrometer with a phase shift scheme

Kazumasa Takada, Mitsuyoshi Seino, Akito Chiba, and Katsunari Okamoto  »View Author Affiliations


Applied Optics, Vol. 52, Issue 12, pp. 2555-2563 (2013)
http://dx.doi.org/10.1364/AO.52.002555


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Abstract

We calculate the root mean square (rms) value of the spectral noise caused by optical path phase measurement errors in a spatial heterodyne spectrometer (SHS) featuring a complex Fourier transformation. In our calculation the deviated phases of each Mach–Zehnder interferometer in the in-phase and quadrature states are treated as statistically independent random variables. We show that the rms value is proportional to the rms error of the phase measurement and that the proportionality coefficient is given analytically. The relationship enables us to estimate the potential performance of the SHS such as the sidelobe suppression ratio for a given measurement error.

© 2013 Optical Society of America

OCIS Codes
(230.3120) Optical devices : Integrated optics devices
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms

ToC Category:
Spectroscopy

History
Original Manuscript: January 16, 2013
Revised Manuscript: February 21, 2013
Manuscript Accepted: March 1, 2013
Published: April 12, 2013

Citation
Kazumasa Takada, Mitsuyoshi Seino, Akito Chiba, and Katsunari Okamoto, "Detailed calculation of spectral noise caused by measurement errors of Mach–Zehnder interferometer optical path phases in a spatial heterodyne spectrometer with a phase shift scheme," Appl. Opt. 52, 2555-2563 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-12-2555


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References

  1. M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, “Multiaperture planar waveguide spectrometer formed by arrayed Mach–Zehnder interferometers,” Opt. Express 15, 18176–18189 (2007). [CrossRef]
  2. M. Florjańczyk, P. Cheben, S. Janz, A. Scott, B. Solheim, and D. X. Xu, “Spatial heterodyne planar waveguide spectrometer: theory and design” Proc. SPIE 7099, 70991L1 (2008). [CrossRef]
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  7. K. Takada, M. Seino, A. Chiba, and K. Okamoto, “Spectral noise due to measurement errors of Mach–Zehnder interferometer optical path phases in a complex Fourier-transform integrated-optic spatial heterodyne spectrometer,” Opt. Commun. (2013) (to be published).
  8. K. Takada, H. Yamada, and Y. Inoue, “Optical low coherence method for characterizing silica-based arrayed-waveguide grating multiplexers,” J. Lightwave Technol. 14, 1677–1689 (1996). [CrossRef]

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