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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 8 — Mar. 10, 2010
  • pp: 1201–1209

Christiansen filters realized with spherical lenses

Jian Li, Kang Xie, Haiming Jiang, and Nick Goddard  »View Author Affiliations

Applied Optics, Vol. 49, Issue 8, pp. 1201-1209 (2010)

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We propose the use of a smooth spherical lens in the Christiansen filter cell. The realization of common filtering functions with such a filter configuration is discussed. A systematic design technique based on inverse Fourier cosine transform or inverse Laplace transform is established, with which a desired, prescribed response can be tailored by properly configuring the lens of the filter. Four Christiansen filters centered at 545 nm with a full width at half-maximum of 2 nm are analyzed in detail.

© 2010 Optical Society of America

OCIS Codes
(050.1965) Diffraction and gratings : Diffractive lenses
(070.2615) Fourier optics and signal processing : Frequency filtering
(230.7408) Optical devices : Wavelength filtering devices

ToC Category:
Optical Devices

Original Manuscript: November 16, 2009
Revised Manuscript: January 16, 2010
Manuscript Accepted: January 17, 2010
Published: March 2, 2010

Jian Li, Kang Xie, Haiming Jiang, and Nick Goddard, "Christiansen filters realized with spherical lenses," Appl. Opt. 49, 1201-1209 (2010)

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