Abstract

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 $545\mathrm{nm}$ with a full width at half-maximum of $2\mathrm{nm}$ are analyzed in detail.

© 2010 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 filter realized by an odd smooth cylindrical lens

Jian Li, N. Goddard, and Kang Xie
J. Opt. Soc. Am. A 27(1) 100-108 (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)