Abstract

The effects of the variation of angle of incidence and temperature on the characteristics of some typical ir filters are discussed. Collimated radiation, Lambertian radiation, and focused radiation, from a point source at infinity are considered and theoretical calculations of the wavelength shifts and bandwidth changes of three narrow bandpass filter designs are presented. Measurements were made of other filters irradiated by collimated radiation at various angles of incidence and good correlation exists between theoretical and measured data. Measured variation of the characteristics of some filters with temperature are also presented. Results indicate that the filters shift toward shorter wavelengths if either the angle of incidence is increased or temperature is decreased.

© 1967 Optical Society of America

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References

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  1. P. H. Lissberger, W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959).
    [Crossref]
  2. P. Baumeister, Opt. Acta 8, 105 (1961).
    [Crossref]
  3. C. R. Pidgeon, S. D. Smith, J. Opt. Soc. Am. 54, 1459 (1964).
    [Crossref]

1964 (1)

1961 (1)

P. Baumeister, Opt. Acta 8, 105 (1961).
[Crossref]

1959 (1)

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Figures (17)

Fig. 1
Fig. 1

Wavelength shift of interference filters—collimated radiation.

Fig. 2
Fig. 2

Wavelength shift of three narrow bandpass filters—collimated radiation.

Fig. 3
Fig. 3

Bandwidth variation of three narrow bandpass filters—collimated radiation.

Fig. 4
Fig. 4

Change in spectral characteristics of three narrow bandpass filters under collimated radiation. (a) 1.4% bandwidth, (b) 1.1% bandwidth, (c) 2.4% bandwidth.

Fig. 5
Fig. 5

Wavelength shift of three narrow bandpass filters—Lambertian radiation.

Fig. 6
Fig. 6

Bandwidth variation of three narrow bandpass filters—Lambertian radiation.

Fig. 7
Fig. 7

Change in spectral characteristics of three narrow bandpass filters under Lambertian radiation. (a, above) 1.1% bandwidth (b, below) 1.4% bandwidth, (c, at right) 2.4% bandwidth.

Fig. 8
Fig. 8

Wavelength shift of three narrow bandpass filters under focused radiation.

Fig. 9
Fig. 9

Bandwidth variation of three narrow bandpass filters under focused radiation.

Fig. 10
Fig. 10

Change in spectral characteristics of three narrow bandpass filters under focused radiation. (a) 1.1% bandwidth, (b) 1.4% bandwidth, (c) 2.4% bandwidth.

Fig. 11
Fig. 11

Wavelength shift of 1.4% bandwidth filter.

Fig. 12
Fig. 12

Bandwidth variation of 1.4% bandwidth filter.

Fig. 13
Fig. 13

Change in spectral characteristics with f/number for 1.4% bandwidth filter.

Fig. 14
Fig. 14

Peak transmittance variation with f/number.

Fig. 15
Fig. 15

Measured variation of spectral characteristics of typical filters under collimated radiation. (a) wide bandpass, (b) long wavepass, and (c) narrow bandpass.

Fig. 16
Fig. 16

Wavelength shift of interference filters with temperature variation.

Fig. 17
Fig. 17

Measured variation of spectral characteristics of typical filters with change in temperature: (a) long wavepass, (b) and (c) narrow bandpass.

Equations (1)

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Δ λ S λ d λ

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