Abstract

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 $545\mathrm{nm}$ with full width at half-maximum of $2\mathrm{nm}$ 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

Christiansen filters realized with cylindrical lenses of even symmetry

Kang Xie, Dianguo Ma, Ji Ma, Lanju Liang, Dequan Wei, Xueqin Wang, Meng Wang, Zhijia Hu, Junxi Zhang, and Qiuping Mao
J. Opt. Soc. Am. A 39(3) 431-439 (2022)

Christiansen filters realized with spherical lenses

Jian Li, Kang Xie, Haiming Jiang, and Nick Goddard
Appl. Opt. 49(8) 1201-1209 (2010)

A Theory for the Christiansen Filter

R. H. Clarke
Appl. Opt. 7(5) 861-868 (1968)

New Christiansen filters

K. Balasubramanian, M. R. Jacobson, and H. A. Macleod
Appl. Opt. 31(10) 1574-1587 (1992)

Christiansen filters for the far ultraviolet: an old spectral device in a new light

Uwe Wojak, Uwe Czarnetzki, and H. F. Döbele
Appl. Opt. 26(22) 4788-4790 (1987)