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Optics Letters

Optics Letters


  • Vol. 28, Iss. 6 — Mar. 15, 2003
  • pp: 447–449

Optical wavelength filtering by diffraction from a surface relief

Ruslan Belikov and Olav Solgaard  »View Author Affiliations

Optics Letters, Vol. 28, Issue 6, pp. 447-449 (2003)

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We present an analytical solution to the problem of finding a diffractive surface relief that generates a specific optical amplitude and phase spectral reflection in a particular direction. We show that any discrete finite impulse response filter can be generated to within a multiplicative constant at nonzero frequencies. We propose an implementation of such a filter that works in the visible and the near infrared, based on a two-dimensional array of dual-state tiltable mirrors. A 1024 × 1024 array results in a 1024-tap filter with 10-bit quantization of the impulse response. The applications of such a device include spectroscopy and wavelength-division multiplex switching.

© 2003 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(050.2770) Diffraction and gratings : Gratings
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.2440) Instrumentation, measurement, and metrology : Filters
(230.6120) Optical devices : Spatial light modulators
(350.2460) Other areas of optics : Filters, interference

Ruslan Belikov and Olav Solgaard, "Optical wavelength filtering by diffraction from a surface relief," Opt. Lett. 28, 447-449 (2003)

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  1. M. B. Sinclair, M. A. Butler, A. J. Ricco, and S. D. Senturia, Appl. Opt. 36, 3342 (1997).
  2. G. B. Hocker, D. Youngner, M. Butler, M. Sinclair, T. Plowman, E. Deutsch, A. Volpicelli, S. Senturia, and A. J. Ricco, presented at the Solid State Sensor and Actuator Workshop, Hilton Head Island, S.C., June 4–8, 2000.
  3. M. A. Butler, E. R. Deutsch, S. D. Senturia, M. B. Sinclair, W. C. Sweatt, D. W. Youngner, and G. B. Hocker, presented at the International Electron Devices Meeting, Washington, D.C., December 2–5, 2001.
  4. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), Chap. 4.

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