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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)

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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

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

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)

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