Abstract

The temperature dependence of the wavelength position of the lower sharp cutoff of Schott glass filters and, in particular, the OG1 type is discussed. Generalized relationships are developed to represent the measured filter transmissions. The principal results for the OG1, RG2, and RG8 filters are presented in tabular form.

© 1959 Optical Society of America

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Figures (5)

F. 1
F. 1

Variation of transmission of Schott OG1 glass filter with wavelength at different temperatures.

F. 2
F. 2

The recording spectrophotometer.

F. 3
F. 3

Regulation of filter temperature (a) above ambient and (b) below ambient.

F. 4
F. 4

Linearity of relationship between (a) wavelength (λ) of center of cutoff and temperature and between (b) log (−logpλ) and λ.

F. 5
F. 5

Comparison between observed and computed filter transmissions for specific wavelengths and temperatures.

Tables (2)

Tables Icon

Table I Position of center of cutoff (mµ).

Tables Icon

Table II Transmission in region of cutoff.

Equations (17)

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τ λ = ( 1 r λ ) p λ .
p λ = 1.1 · τ λ .
λ m = 526 + 0.12 t
p λ = e α · l .
ln ( ln p λ ) = f ( t ) 0.14 λ
p λ = exp [ φ ( t ) · e 0.14 λ ]
φ ( t ) = e f ( t ) .
ln 0.05 = φ ( t ) e 0.14 λ m .
λ m = 26 ( + 500 ) + 0.12 t
φ ( t ) = 26.4 · e 0.0168 t .
p λ = exp [ 26.4 · e 0.0168 t · e 0.14 λ ] .
p λ = e α · l
α = 16.7 · e 0.0168 t 0.14 λ .
p λ t l = exp [ 16.7 · l · e 0.0168 t 0.14 λ ] .
λ m = ln ( 24.1 · l ) + 0.0168 t 0.14 .
p λ s = exp [ 0.694 · e 0.14 λ s ]
10 log p λ s = 0.301 · e 0.14 λ s ,