Temperature drift compensation in Fourier-transform integrated micro-spectrometers

A. V. Velasco, J. Galindo-Santos, P. Cheben, M. L. Calvo, S. J. Schmid, A. Delage, Dan-Xia Xu, S. Sanz, P. Corredera


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Base Information

Volume

V48 - N4 / 2015 Ordinario

Reference

283-289

DOI

http://dx.doi.org/10.7149/OPA.48.4.283

Language

Spanish

Keywords

integrated optics, spectroscopy, Fourier transform, Silicon on insulator, temperature drift, spectral retrieval

Abstract

In this work, we analyze the effect of temperature drifts in a spatial heterodyne Fourier-transform micro-spectrometer fabricated in a Silicon-on-insulator chip. The device comprises an array of 32 Mach-Zehnder interferometers implemented with microphotonic spirals of linearly increasing length. This configuration provides a resolution of 42 pm in a footprint under 12 mm2. However, this resolution enhancement implies a greater sensitivity to environmental variations during the spectrometer operation. In this work, the effect of temperature drifts in the spectral retrieval algorithm is studied, and compensation techniques based on multiple calibration matrices is presented.

References

0

E. D. Becker, T. C. Farrar, "Fourier transform spectroscopy," Science 178, 361-368 (1972). DOI

1

P. R. Griffiths, J. A. De Haseth, Fourier Transform Infrared Spectrometry. New York, John Wiley & Sons (2007).

2

J. M. Harlander, F. L. Roesler, J. G. Cardon, C. R. Englert, R. R. Conway, "A spatial heterodyne spectrometer for remote sensing of Earth middle aAtmosphere," Appl. Opt. 41, 1343-1345 (2002). DOI

3

M.-L. Junttila, J. Kauppinen, E. Ikonen, "Performance limits of stationary Fourier spectrometers," J. Opt. Soc. Am 8, 1457-1462 (1991). DOI

4

M. Florjañczyk, C. Alonso-Ramos, P. Bock, A. Bogdanov, P. Cheben, í. Molina-Fernández, S. Janz, B. Lamontagne, A. Ortega-Moñux, A. Scott, K. Sinclair, B. Solheim, D.-X. Xu, "Development of a Fourier- transform waveguide spectrometer for space applications," Opt. Quant. Elect. 44, 549-556 (2012). DOI

5

P.J. Bock, P. Cheben, A.V. Velasco, J.H. Schmid, A. Delage, M. Florjañczyk, J. Lapointe, D.-X. Xu, M. Vachon, S. Janz, M. L. Calvo, "Subwavelength grating Fourier-transform interferometer array in silicon-on-insulator," Laser Photonics Rev. 7, L67-L70 (2013). DOI

6

P. Jacquinot, "The luminosity of spectrometers with prisms, gratings, or Fabry-Perot etalons," J. Opt. Soc. Am. 44, 761-765 (1954). DOI

7

P. Cheben, "Wavelength dispersive planar waveguide devices: Echelle gratings and arrayed waveguide gratings", Chap. 5 in Optical Waveguides: From Theory to Applied Technologies. M. L. Calvo, V. Laksminarayanan, Edts, London, CRC Press, (2007).

8

P. J. Bock, P. Cheben, J. H. Schmid, A. V. Velasco, A. Delage, S. Janz, D.-X. Xu, J. Lapointe, T. J. Hall, M. L. Calvo, "Demonstration of a curved sidewall grating demultiplexer on silicon," Opt. Express 20, 19882-19892 (2012). DOI

9

A. V. Velasco, P. Cheben, M. Florjañczyk, M. L. Calvo, "Spatial heterodyne Fourier-transform waveguide spectrometers," Progress in Optics 59, (2014). DOI

10

J.-M. Lee, D.-J. Kim, H. Ahn, S.-H. Park, G. Kim, "Temperature Dependence of Silicon Nanophotonic Ring Resonator With a Polymeric Overlayer," J. Lightwave Technol. 25, 2236 (2007). DOI

11

J. H. Schmid, M. Ibrahim, P. Cheben, J. Lapointe, S. Janz, P. J. Bock, A. Densmore, B. Lamontagne, R. Ma, W. N. Ye, D.-X. Xu, "Temperature-independent silicon wavelength grating waveguides," Opt. Lett. 36, 2110-2112 (2011). DOI

12

A. V. Velasco, P. Cheben, P. J. Bock, A. Delage, J. H. Schmid, J. Lapointe, S. Janz, M. L. Calvo, D.-X. Xu, M. Florjañczyk, M. Vachon, "High-resolution Fourier-transform spectrometer chip with microphotonic silicon spiral waveguides," Opt. Lett. 38, 706-708 (2013). DOI

13

P. Cheben, P. J. Bock, J. H. Schmid, J. Lapointe, S. Janz, D.-X. Xu, A. Densmore, A. Delage, B. Lamontagne, T. J. Hall, "Refractive index engineering with subwavelength gratings for efficient microphotonic couplers and planar waveguide multiplexers," Opt. Lett. 35, 2526-2528 (2010). DOI

14

K. Okamoto, H. Aoyagi, K. Takada, "Fabrication of Fourier-transform, integrated-optic spatial heterodyne spectrometer on silica-based planar waveguide," Opt. Lett. 35, 2103-2105 (2010). DOI

15

G. H. Golub, C. Reinsch, "Singular value decomposition and least squares solutions," Numerische Mathematik 14, 403 (1970). DOI