Abstract

A method of calculating and describing transmission characteristics of light guides is developed and applied to rods of synthetic sapphire. The total transmission is shown to be an inadequate measure of the extent to which a calibration curve relating relative signal to temperature is possible for a light guide radiation pyrometer. The angular field of view of synthetic sapphire rod is presented in terms of fractional emergent power per five degree angular increment. It is concluded that the transmission properties presented here, in combination with data for a single point, permit the simple, individual calibration of commercially available light guide radiation pyrometers.

© 1959 Optical Society of America

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References

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  1. C. H. Sutcliffe and T. J. Carroll, Rev. Sci. Instr. 27, 656 (1956).
    [CrossRef]
  2. T. R. Harrison and W. H. Wannamaker, Rev. Sci. Instr. 12, 20–32 (1941).
    [CrossRef]
  3. Vollmer, Duke, and Wysocki, J. Opt. Soc. Am. 46, 215–217 (1956).
    [CrossRef]

1956 (2)

C. H. Sutcliffe and T. J. Carroll, Rev. Sci. Instr. 27, 656 (1956).
[CrossRef]

Vollmer, Duke, and Wysocki, J. Opt. Soc. Am. 46, 215–217 (1956).
[CrossRef]

1941 (1)

T. R. Harrison and W. H. Wannamaker, Rev. Sci. Instr. 12, 20–32 (1941).
[CrossRef]

Carroll, T. J.

C. H. Sutcliffe and T. J. Carroll, Rev. Sci. Instr. 27, 656 (1956).
[CrossRef]

Duke,

Harrison, T. R.

T. R. Harrison and W. H. Wannamaker, Rev. Sci. Instr. 12, 20–32 (1941).
[CrossRef]

Sutcliffe, C. H.

C. H. Sutcliffe and T. J. Carroll, Rev. Sci. Instr. 27, 656 (1956).
[CrossRef]

Vollmer,

Wannamaker, W. H.

T. R. Harrison and W. H. Wannamaker, Rev. Sci. Instr. 12, 20–32 (1941).
[CrossRef]

Wysocki,

J. Opt. Soc. Am. (1)

Rev. Sci. Instr. (2)

C. H. Sutcliffe and T. J. Carroll, Rev. Sci. Instr. 27, 656 (1956).
[CrossRef]

T. R. Harrison and W. H. Wannamaker, Rev. Sci. Instr. 12, 20–32 (1941).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Cutoff wavelength as a function of length of synthetic sapphire light guide.

Fig. 2
Fig. 2

Relative EMF vs temperature. Curve is result of measurements on thirty-four eighteen-inch rods of synthetic sapphire. Points are calculated from λc obtained from Fig. 1.

Fig. 3
Fig. 3

Angular energy distribution for synthetic sapphire rod. Fractional power per five degree increment of a diffuse target is corrected for Fresnel losses and plotted against angle of incidence. This permits estimate of relative importance of equal angular increments.

Equations (8)

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W = G R 0 t ( λ ) J ( λ , T ) d λ ,
0 λ c J ( λ , T ) d λ = 0 t ( λ ) J ( λ , T ) d λ .
W 1 W 2 = 0 λ c 1 J ( λ , T 1 ) d λ 0 λ c 2 J ( λ , T 2 ) d λ ,
V 1 V 2 T 2 4 T 1 4 = 0 λ c 1 J ( λ , T 1 ) d λ 0 J ( λ , T 1 ) d λ 0 λ c 2 J ( λ , T 2 ) d λ 0 J ( λ , T 2 ) d λ .
N = Φ 1 / Φ 2 .
0 λ ¯ c J ( λ , T 1 ) d λ 0 J ( λ , T 1 ) d λ 0 λ ¯ c J ( λ , T 2 ) d λ 0 J ( λ , T 2 ) d λ = N = Φ 1 Φ 2 .
V 1 G R Φ 1 W 1 ,
V 2 = ( V 1 Φ 1 W 1 ) Φ 2 W 2 = K Φ 2 W 2 .