Abstract

Atmospheric CO2 absorption at the line center of P(20) CO2 laser radiation has been calculated at different altitudes by using the relationship 1-exp(-l1l2kdl). In this calculation, the absorption caused by water vapor has not been included. The line strength and the half-width at 295 K and 1 atm pressure used are 5.09 × 10−4 cm−2 atm−1 and 0.07 cm−1 atm−1, respectively.

© 1968 Optical Society of America

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References

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  1. T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
    [CrossRef]
  2. S. Penner, Quantitative Molecular Spectroscopy and Gas Emissions (Addison-Wesley Publishing Company, Inc., Reading, 1959), p. 28.
  3. Ref. 2, p. 46.
  4. D. E. Burch, E. B. Singleton, D. Williams, Appl. Opt. 1, 359 (1962).
    [CrossRef]
  5. W. S. Benedict, Johns Hopkins University, private communication.
  6. Ref. 2, p. 19.
  7. G. Herzberg, Molecular Structure and Molecular Spectra, Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules (D. Van Nostrand Company, Inc., Princeton, 1945), pp. 503–505.
  8. J. H. McCoy, Ohio State University, private communication.
  9. T. K. McCubbin, Thomas R. Mooney, J. Quant. Spectrosc. Radiat. Transfer 8, 1255 (1968).
    [CrossRef]
  10. U. S. Standard Atmosphere Supplements, 1966ESSA, (U. S. Government Printing Office, Washington, D. C.).
  11. J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
    [CrossRef]
  12. J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
    [CrossRef]
  13. B. Bolin, C. D. Keeling, J. Geophys. Res. 68, 3899 (1963).
    [CrossRef]
  14. Fritz Kasten, “A New Table and Approximation Formula for the Relative Optical Air Mass,” Tech. Rep. 136, Cold Regions Research and Engineering Laboratory, Hanover, New Hampshire, U. S. Army Material Command, (November1964). AD 610554.

1968 (1)

T. K. McCubbin, Thomas R. Mooney, J. Quant. Spectrosc. Radiat. Transfer 8, 1255 (1968).
[CrossRef]

1967 (2)

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
[CrossRef]

1966 (1)

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

1963 (1)

B. Bolin, C. D. Keeling, J. Geophys. Res. 68, 3899 (1963).
[CrossRef]

1962 (1)

Benedict, W. S.

W. S. Benedict, Johns Hopkins University, private communication.

Bolin, B.

B. Bolin, C. D. Keeling, J. Geophys. Res. 68, 3899 (1963).
[CrossRef]

Burch, D. E.

Darone, R.

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

Haseltine, W. A.

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
[CrossRef]

Herzberg, G.

G. Herzberg, Molecular Structure and Molecular Spectra, Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules (D. Van Nostrand Company, Inc., Princeton, 1945), pp. 503–505.

Kasten, Fritz

Fritz Kasten, “A New Table and Approximation Formula for the Relative Optical Air Mass,” Tech. Rep. 136, Cold Regions Research and Engineering Laboratory, Hanover, New Hampshire, U. S. Army Material Command, (November1964). AD 610554.

Keeling, C. D.

B. Bolin, C. D. Keeling, J. Geophys. Res. 68, 3899 (1963).
[CrossRef]

McCoy, J. H.

J. H. McCoy, Ohio State University, private communication.

McCubbin, T. K.

T. K. McCubbin, Thomas R. Mooney, J. Quant. Spectrosc. Radiat. Transfer 8, 1255 (1968).
[CrossRef]

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

Mooney, Thomas R.

T. K. McCubbin, Thomas R. Mooney, J. Quant. Spectrosc. Radiat. Transfer 8, 1255 (1968).
[CrossRef]

Moore, C. B.

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
[CrossRef]

Penner, S.

S. Penner, Quantitative Molecular Spectroscopy and Gas Emissions (Addison-Wesley Publishing Company, Inc., Reading, 1959), p. 28.

Singleton, E. B.

Sorrell, J.

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

Stephenson, J. C.

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
[CrossRef]

Williams, D.

Appl. Opt. (1)

Appl. Phys. Lett. (3)

T. K. McCubbin, R. Darone, J. Sorrell, Appl. Phys. Lett. 8, 118 (1966).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 399 (1967).
[CrossRef]

J. C. Stephenson, W. A. Haseltine, C. B. Moore, Appl. Phys. Lett. 11, 164 (1967).
[CrossRef]

J. Geophys. Res. (1)

B. Bolin, C. D. Keeling, J. Geophys. Res. 68, 3899 (1963).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (1)

T. K. McCubbin, Thomas R. Mooney, J. Quant. Spectrosc. Radiat. Transfer 8, 1255 (1968).
[CrossRef]

Other (8)

U. S. Standard Atmosphere Supplements, 1966ESSA, (U. S. Government Printing Office, Washington, D. C.).

S. Penner, Quantitative Molecular Spectroscopy and Gas Emissions (Addison-Wesley Publishing Company, Inc., Reading, 1959), p. 28.

Ref. 2, p. 46.

W. S. Benedict, Johns Hopkins University, private communication.

Ref. 2, p. 19.

G. Herzberg, Molecular Structure and Molecular Spectra, Vol. 2, Infrared and Raman Spectra of Polyatomic Molecules (D. Van Nostrand Company, Inc., Princeton, 1945), pp. 503–505.

J. H. McCoy, Ohio State University, private communication.

Fritz Kasten, “A New Table and Approximation Formula for the Relative Optical Air Mass,” Tech. Rep. 136, Cold Regions Research and Engineering Laboratory, Hanover, New Hampshire, U. S. Army Material Command, (November1964). AD 610554.

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Figures (1)

Fig. 1
Fig. 1

Plot of spectral absorption coefficient vs altitude.

Tables (2)

Tables Icon

Table I Results of Polynomial Curve Fit for the Spectral Absorption as a Function of Altitudea

Tables Icon

Table II Atmospheric Absorption of the CO2 Laser P(20) Line

Equations (12)

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k [ p ( l ) , θ ( l ) ] = k ( l ) .
T = exp [ - 0 l 1 k 1 ( l ) d l ] exp [ - l 1 l 2 k 2 ( l ) d l ] exp [ - l n - 1 l n k n ( l ) d l ] .
k = S / π α L
k = S / α D ( ln 2 / π ) 1 2 exp ( a 2 ) erfc ( a ) .
k = ( S / ω 0 ) ( m c 2 / 2 π k θ ) 1 2 .
a = [ ( α N + α L ) α D ] ( ln 2 ) 1 2 ,
α L = α L 0 ( P e / P 0 ) ( θ 0 / θ ) 0.58 ,
S = C 2 8 π ν 2 l u N l p A u l g u g l [ 1 - exp ( - h ν u l k θ ) ] ,
Q v = v g v exp [ - G 0 ( v 1 , v 2 , v 3 ) ( h c / k θ ) ]
Q r = k θ h C B + 1 3 + 1 315 ( h c k θ ) ( 21 B - 8 D - 6 F ) + - 2 ( D B ) ( k θ h C B ) 2 + [ 12 ( D B ) 2 - 6 ( F B ) ] ( k θ h C B ) 3 + .
Q v = 1.0378034 - 4.9396274 × 10 - 4 θ + 1.7378552 × 10 - 6 θ 2 , Q r = 0.33365059 + 1.7817383 θ .
a 0 [ ρ ( h ) / ρ ( 0 ) ] 15 / 29 ,

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