Abstract

Measurements of the transmission characteristics of commercial narrow-band interference filters made by different manufacturers are described. The effect of angle of incidence on center wavelength, bandwidth, and maximum transmittance are shown to be important, and measurements on typical filters are compared with theory. Nonuniformity of transmission over the filter surface is shown to have a significant effect on the spectral quality and mean wavelength of the transmitted radiation. Variation of filter temperature from −60°C to +60°C resulted mainly in a wavelength shift in the transmission band of +0.1 Å/°C to 0.3 Å/°C with little change in form. The experimental results provide a basis for specification of the characteristics that are important in practical applications, and relatively simple mathematical expressions are shown to be useful in predicting some of the observed variations.

© 1966 Optical Society of America

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References

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  1. P. H. Lissberger, J. Opt. Soc. Am. 49, 121 (1959).
    [CrossRef]
  2. P. H. Lissberger, W. L. Wilcock, J. Opt. Soc. Am. 49, 126 (1959).
    [CrossRef]
  3. E. Barr, Thin Film Products Co., Cambridge, Mass., private communication.
  4. L. W. Nichols, A. L. Olson, K. E. Plain, Appl. Opt. 4, 138 (1965).
    [CrossRef]
  5. W. L. Wolfe, S. S. Ballard, K. A. McCarthy, AIP Handbook (McGraw-Hill, New York, 1963), Sec. 6-11.
  6. C. K. Coogan, Proc. Phys. Soc. (London) B70, 845 (1957).
  7. F. Lukes, Czech. J. Phys. 8, 423 (1958).
    [CrossRef]
  8. I. N. Shkliarevskii, A. N. Riazanov, Soviet Phys.-Tech. Phys. 1, 634 (1957).

1965 (1)

1959 (2)

1958 (1)

F. Lukes, Czech. J. Phys. 8, 423 (1958).
[CrossRef]

1957 (2)

I. N. Shkliarevskii, A. N. Riazanov, Soviet Phys.-Tech. Phys. 1, 634 (1957).

C. K. Coogan, Proc. Phys. Soc. (London) B70, 845 (1957).

Ballard, S. S.

W. L. Wolfe, S. S. Ballard, K. A. McCarthy, AIP Handbook (McGraw-Hill, New York, 1963), Sec. 6-11.

Barr, E.

E. Barr, Thin Film Products Co., Cambridge, Mass., private communication.

Coogan, C. K.

C. K. Coogan, Proc. Phys. Soc. (London) B70, 845 (1957).

Lissberger, P. H.

Lukes, F.

F. Lukes, Czech. J. Phys. 8, 423 (1958).
[CrossRef]

McCarthy, K. A.

W. L. Wolfe, S. S. Ballard, K. A. McCarthy, AIP Handbook (McGraw-Hill, New York, 1963), Sec. 6-11.

Nichols, L. W.

Olson, A. L.

Plain, K. E.

Riazanov, A. N.

I. N. Shkliarevskii, A. N. Riazanov, Soviet Phys.-Tech. Phys. 1, 634 (1957).

Shkliarevskii, I. N.

I. N. Shkliarevskii, A. N. Riazanov, Soviet Phys.-Tech. Phys. 1, 634 (1957).

Wilcock, W. L.

Wolfe, W. L.

W. L. Wolfe, S. S. Ballard, K. A. McCarthy, AIP Handbook (McGraw-Hill, New York, 1963), Sec. 6-11.

Appl. Opt. (1)

Czech. J. Phys. (1)

F. Lukes, Czech. J. Phys. 8, 423 (1958).
[CrossRef]

J. Opt. Soc. Am. (2)

Proc. Phys. Soc. (London) (1)

C. K. Coogan, Proc. Phys. Soc. (London) B70, 845 (1957).

Soviet Phys.-Tech. Phys. (1)

I. N. Shkliarevskii, A. N. Riazanov, Soviet Phys.-Tech. Phys. 1, 634 (1957).

Other (2)

E. Barr, Thin Film Products Co., Cambridge, Mass., private communication.

W. L. Wolfe, S. S. Ballard, K. A. McCarthy, AIP Handbook (McGraw-Hill, New York, 1963), Sec. 6-11.

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Figures (11)

Fig. 1
Fig. 1

Details of construction of temperature cell.

Fig. 2
Fig. 2

Variation of transmittance characteristics with angle of incident radiation for a 5000-Å filter manufactured by Thin Film Products.

Fig. 3
Fig. 3

Relative change in center wavelength (δΛ/Λφ=0) with angular measure (Φ2/2) for several typical filters.

Fig. 4
Fig. 4

Ratio of maximum transmittance for radiation at normal incidence to the maximum transmittance at angles of incidence up to 32°.

Fig. 5
Fig. 5

Ratio of half-bandwidth at normal incidence to the half-bandwidth at angles of incidence up to 32° for several filters made by Bausch & Lomb.

Fig. 6
Fig. 6

Variation of transmittance over the surface of a 5000-Å filter made by Thin Film Products.

Fig. 7
Fig. 7

Percent transmittance as a function of wavelength for maximum and minimum orientations of a 3300-Å filter made by Thin Film Products.

Fig. 8
Fig. 8

Filter effectiveness for maximum and minimum orientation of a 3300-Å filter made by Thin Film Products.

Fig. 9
Fig. 9

Mean wavelength for maximum and minimum orientation of a 3300-Å filter made by Thin Film Products.

Fig. 10
Fig. 10

Variation in transmittance characteristics with temperature for a nominal 6563-Å filter made by Baird-Atomic.

Fig. 11
Fig. 11

Relative shift in wavelength of maximum of transmittance as a function of filter temperature.

Tables (2)

Tables Icon

Table I Values of Parameter P of Eq. (1)

Tables Icon

Table II Temperature Coefficients of Maximum Wavelength, Transmittance, and Bandwidth for Filters made by Different Manufacturers and Measured at Normal Incidence

Equations (6)

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δ Λ φ Λ φ = 0 = - P Φ 2 2 ,
( Δ λ ) φ ( Δ λ ) φ = 0 = ( 1 + x 2 ) 1 / 2 ,
x = P α 2 2 / ( Δ λ ) α = 0 Λ α = 0
( Δ λ ) φ ( Δ λ ) φ = 0 = { 1 + [ P φ 2 ( Δ λ ) φ = 0 / Λ φ = 0 ] 2 } 1 / 2 .
S = λ 2 λ 3 I ( λ ) P ( λ ) τ ( λ ) d λ / λ 1 λ 4 I ( λ ) P ( λ ) τ ( λ ) d λ ,
λ ¯ = λ 1 λ 4 τ ( λ ) λ d λ / λ 1 λ 4 τ ( λ ) d λ ,

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