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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 26 — Dec. 25, 2006
  • pp: 12590–12612

Algorithms for the synthesis of complex-value spectral filters with an array of micromechanical mirrors

Matthieu Lacolle, Ruslan Belikov, Håkon Sagberg, Olav Solgaard, and Aasmund S. Sudbø  »View Author Affiliations


Optics Express, Vol. 14, Issue 26, pp. 12590-12612 (2006)
http://dx.doi.org/10.1364/OE.14.012590


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Abstract

We study optical spectral filter synthesis with arrays of pistonactuated micro-mirrors. We propose two algorithms for the calculation of the positions of the micro-mirrors, giving us control of both the amplitude and phase of the synthetic filter. Both algorithms for filter synthesis are explored in an analytic version and in numerical searches for the least deviations between the target and the synthesized filter. We measure the quality of the filter both in terms of the deviations and in filter transmissivity, and present results of numerical simulations for a wide selection of target filters. We find that numerical searches can sometimes yield considerable improvement in the filter synthesis compared to the analytic approximation.

© 2006 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.4790) Fourier optics and signal processing : Spectrum analysis
(230.3990) Optical devices : Micro-optical devices
(230.4110) Optical devices : Modulators

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 26, 2006
Revised Manuscript: November 21, 2006
Manuscript Accepted: November 21, 2006
Published: December 22, 2006

Citation
Matthieu Lacolle, Ruslan Belikov, Håkon Sagberg, Olav Solgaard, and Aasmund S. Sudbø, "Algorithms for the synthesis of complex-value spectral filters with an array of micromechanical mirrors," Opt. Express 14, 12590-12612 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-26-12590


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References

  1. R. Belikov, Diffraction-Based Optical Filtering: Theory and Implementation with MEMS, (Doctoral Dissertation, Stanford University, UMI Dissertation Publishing, 2005).
  2. MichealB. Sinclair, Micheal A. Butler, Anthony J. Ricco, and Stephen D. Senturia, "Synthetic spectra: a tool for correlation spectroscopy," Appl. Opt. 36, 3342-3348 (1997). [CrossRef] [PubMed]
  3. H. Sagberg, M. Lacolle, I.-R. Johansen, O. Løvhaugen, R. Belikov, O. Solgaard and A. Sudbø, "Micromechanical Gratings for Visible and Near-Infrared Spectroscopy," IEEE J. Sel. Top. Quantum. Electron. 10, 604-613 (2004). [CrossRef]
  4. M. Lacolle, H. Sagberg, I.R. Johansen, O. Løvhaugen, O. Solgaard and A. Sudbø, "Reconfigurable near-infrared optical filter with a micro-mechanical diffractive Fresnel lens," Photon. Technol. Lett. 17, 2622-2624 (2005). [CrossRef]
  5. W. H. Lee, "Sampled Fourier Transform Hologram Generated by Computer," Appl. Opt. 9, 639-643 (1970). [CrossRef] [PubMed]
  6. P. M. Birch, R. Young, D. Budgett, and C. Chatwin, "Two-pixel computer-generated hologram with a zero-twist nematic liquid-crystal spatial light modulator," Opt. Lett. 25, 1013-1015 (2000). [CrossRef]
  7. J. M. Florence, and R. D. Juday, "Full Complex Spatial Filtering with a Phase Mostly DMD," Proc. SPIE 1558, 487-498 (1991). [CrossRef]
  8. R. Belikov, "Programmable Optical Wavelength Filter Based on Diffraction from a 2-D MEMS Micromirror Arrays," in Proceedings of CLEO 2003, (Baltimore, Maryland, 2003).
  9. X. Li, C. Antoine, D. Lee, J.-S. Wang, O. Solgaard, "Tunbable Blazed Gratings," IEEE/ASMEJ. Microelectromech. Syst. 15, 597-604 (2006). [CrossRef]
  10. G. Zhou, F.E.H. Tay and F.S. Chau, "Design of diffractive optical elements for synthetic spectra," Opt. Express 11, 1392-1399 (2003). [CrossRef] [PubMed]
  11. A. M. Wiener, "Femtosecond pulse shaping using spatial light modulators," Rev. Sci. Instrum. 71, 1929-60 (2000). [CrossRef]
  12. R. Belikov, C. Antoine-Snowden, O. Solgaard, "Femtosecond Direct Space-to-Time Pulse Shaping with MEMS Micromirror Arrays," in IEEE/LEOS International Conference on Optical MEMS, (Hawaii, HI, August 2003).
  13. R. Belikov and O. Solgaard, "Optical wavelength filtering by diffraction from a surface relief," Opt. Lett. 28, 447-49 (2003). [CrossRef] [PubMed]
  14. M. Lacolle, Optical spectral filtering with segmented diffractive optical elements, (Dissertation for the Degree of Dr. Scient., Faculty of Mathematics and Natural Sciences, University of Oslo, Unipub, 2006).
  15. O. Solgaard, F.S.A. Sandejas and D.M. Bloom, "Deformable grating optical modulator," Opt. Lett. 17, 688-90 (1992). [CrossRef] [PubMed]
  16. J.P.llebach and B. Liu, "Minimax spectrum shaping with a bandwidth constraint," App. Opt. 14, 3062-72 (1975).

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