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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 27, Iss. 1 — Jan. 1, 2010
  • pp: 100–108

Christiansen filter realized by an odd smooth cylindrical lens

Jian Li, N. Goddard, and Kang Xie  »View Author Affiliations

JOSA A, Vol. 27, Issue 1, pp. 100-108 (2010)

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The Christiansen filter that is realized by odd smooth cylindrical lenses is analyzed in detail. Several popular filtering functions are discussed. The corresponding lens profile functions are obtained by an inverse scattering theory, which enables the filter to synthesize a desired prescribed response function. This kind of Christiansen filter has a passband narrower than that of the traditional Christiansen filter. Three Christiansen filters centered at 545 nm with full width at half-maximum of 2 nm are synthesized, and the approach to a better suppression of halos from the main transmission peak of the filters is presented in a systematic way.

© 2009 Optical Society of America

OCIS Codes
(070.2615) Fourier optics and signal processing : Frequency filtering
(230.7408) Optical devices : Wavelength filtering devices
(100.3200) Image processing : Inverse scattering

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: August 31, 2009
Revised Manuscript: November 8, 2009
Manuscript Accepted: November 8, 2009
Published: December 11, 2009

Jian Li, N. Goddard, and Kang Xie, "Christiansen filter realized by an odd smooth cylindrical lens," J. Opt. Soc. Am. A 27, 100-108 (2010)

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