Abstract

The fractional transmission of far infrared radiation through metal light pipes is calculated and compared with experimental data. Transmission factors greater than fifty percent are obtained over distances of several feet with typical parameters. Condensing cones allow the output radiation to be concentrated onto a small detector area for spectroscopic applications.

© 1958 Optical Society of America

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References

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  1. D. W. Williamson, J. Opt. Soc. Am. 42, 712 (1952).
    [CrossRef]
  2. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 507.
  3. T. K. McCubbin and W. M. Sinton, J. Opt. Soc. Am. 42, 113 (1952).
    [CrossRef]

1952 (2)

McCubbin, T. K.

Sinton, W. M.

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 507.

Williamson, D. W.

J. Opt. Soc. Am. (2)

Other (1)

J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, Inc., New York, 1941), p. 507.

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Figures (3)

Fig. 1
Fig. 1

Theoretical transmission characteristic of metal light pipes. Define q=xL/d, where x = 0.18 ( ρ / λ ) 1 2, ρ is the resistivity in ohm-cm, and λ is the wavelength in cm.

Fig. 2
Fig. 2

Observed transmission of brass, copper, aluminum, and silvered glass pipes. The input radiation was of f/1.5 aperture. When d was not 0.43 in., the length was modified by the relation L*=(0.43/d)L.

Fig. 3
Fig. 3

Transmission of brass pipes compared to the theory. The measured bulk resistivity was 6.4 microhm-cm.

Equations (5)

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R s 1 - 2 x α , R p 2 α 2 - 2 x α + x 2 2 α 2 + 2 x α + x 2 .
x = ( 2 0 ω ρ ) 1 2 = 0.18 ( ρ / λ ) 1 2 ,
( R s ) n e - 2 ( x L / d ) α 2 , ( R p ) n e - 2 ( x L / d ) .
T = ( 2 / α m 2 ) 0 α m α R ( α ) d α ,
T = 1 2 e - 2 q + ( 1 - e - q / 2 F 2 ) F 2 / q 1 2 ( 1 + e - 2 q ) - q / 8 F 2 .