Christiansen-Bragg optical filter

Details Christiansen-Bragg optical filter Christiansen-Bragg optical filter

1981-09-28

1985-02-26

Arnold, Bruce Y.

350 16, 350166, 350311, G02B 2700, G02B 520, G02B 522

Patent

active

045014701

ABSTRACT:
Disclosed is an optical bandpass filter for transmitting light in a narrow band around the wavelength .lambda..sub.c, including a first series of layers, each of thickness t, having a refractive index n.sub.1 and a second series of layers, each of thickness t, having a refractive index n.sub.2 and alternating with the first series. The thickness t is selected so that t=.lambda..sub.c /4n.sub.c and .vertline..DELTA..vertline.>.pi..vertline.D-1/.lambda..sub.c .vertline., where ##EQU1## and n.sub.c is the common value of n.sub.1 and n.sub.2 at the wavelength .lambda..sub.c. Also disclosed is a filter with each succeeding layer in the first and second series thicker than the preceding layer. The thickness of the thinnest layer is .lambda..sub.1 /4.sub.n and the thickness of the thickest layer is .lambda..sub.2 /4n Cos .theta., where .lambda..sub.1 is the minimum wavelength to be reflected by the filter, .lambda..sub.2 is the maximum wavelength, n=(n.sub.1 +n.sub.2)/2, and .theta. is the internal angle corresponding to .theta..sub.o, i.e., Sin .theta..sub.o =n Sin .theta..

REFERENCES:
patent: 4240696 (1980-12-01), Tracy et al.
patent: 4247166 (1981-01-01), Yeh
patent: 4269481 (1981-05-01), Yeh et al.
Clarke, A Theory for the Christiansen Filter, 7 Appl. Optics 861 (1968).
Lerner, Limitations in the Use of Dielectric Interference Filters in Wide Angle Optical Receivers, 10 Appl. Optics 1914 (1971).
Yariv, Guided-Wave Optics, Scientific American, Jan., 1979, pp. 64-72.
Yeh et al., Electromagnetic Propagation in Periodic Stratified Media, 67 J. Opt. Soc. Am. 423 (1977).

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