Atmospheric Absorption at the Line Center of P(20) CO<sub>2</sub>
					Laser Radiation

P. K. L. Yin; R. K. Long

doi:10.1364/AO.7.001551

Atmospheric Absorption at the Line Center of P(20) CO₂ Laser Radiation

P. K. L. Yin and R. K. Long

Applied Optics
Vol. 7,
Issue 8,
pp. 1551-1553
(1968)
•https://doi.org/10.1364/AO.7.001551

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P. K. L. Yin and R. K. Long, "Atmospheric Absorption at the Line Center of P(20) CO₂ Laser Radiation," Appl. Opt. 7, 1551-1553 (1968)

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History
- Original Manuscript: February 7, 1968
- Published: August 1, 1968

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Abstract

Atmospheric CO₂ absorption at the line center of P(20) CO₂ laser radiation has been calculated at different altitudes by using the relationship $1 - exp (- \int_{l_{1}}^{l_{2}} k d l)$ . 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.

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January	Altitude (km)
	0–2	6.177301 × 10⁻² − 4.243258 × 10⁻⁶l + 3.331791 × 10⁻¹¹l²
	2–12	7.1772259 × 10⁻² − 1.018966 × 10⁻⁵l + 5.438857 × 10⁻¹⁰l² − 1.440797 × 10⁻¹⁴l³ + 2.111184 × 10⁻¹⁹l⁴
	12–17	2.168201 × 10⁻² − 1.708914 × 10⁻⁶l + 4.794412 × 10⁻¹¹l² − 4.821832 × 10⁻¹⁶l³
	18–47	2.749415 × 10⁻² − 6.043183 × 10⁻⁶l + 4.952857 × 10⁻¹⁰l² − 1.73234 × 10⁻¹⁴l³ + 2.748747 × 10⁻¹⁹l⁴ − 1.644807 × 10⁻²⁴l⁵
	47–51	−5.0246274 × 10⁻¹ + 3.209868 × 10⁻⁵l − 6.729368 × 10⁻¹⁰l² + 4.656468 × 10⁻¹⁵l³
	51–65	1.241526 × 10⁻¹ − 5.636995 × 10⁻⁶l + 8.609204 × 10⁻¹¹l² − 4.4187473 × 10⁻¹⁶l³
July

	0–15	8.585241 × 10⁻² − 1.439371 × 10⁻⁵l +
		2.255601 × 10⁻⁹l² − 3.082077 × 10⁻¹³l³ + 2.079833 × 10⁻¹⁷l⁴ − 5.087808 × 10⁻²²l⁵
	15–47	4.409444 × 10⁻² − 8.501794 × 10⁻⁶l + 6.408721 × 10⁻¹⁰l² − 2.137128 × 10⁻¹⁴l³ + 3.280708 × 10⁻¹⁹l⁴ − 1.912325 × 10⁻²⁴l⁵
	47–51	−5.381483 × 10⁻¹ + 3.443774 × 10⁻⁵l − 7.221806 × 10⁻¹⁰l² + 4.994872 × 10⁻¹⁵l³
	51–65	8.595289 × 10⁻¹ − 5.584211 × 10⁻⁵l + 1.371591 × 10⁻⁹l² − 1.5063 × 10⁻¹⁴l³ 6.229936 × 10⁻²⁰l⁴

h₁ − h₂ (km)	$\int_{h_{1}}^{h_{2}} K d l$			% Transmission (present work)

	Present work (30°N)		Stephenson et al.	January	July
	January	July	Stephenson et al.	January	July
0–1	0.060	0.079	0.059	94.2	92.4
0–2	0.115	0.148		89.1	86.2
0–3	0.165	0.208	0.157	84.8	81.2
0–4	0.207	0.261		81.3	77.0
0–5	0.242	0.307	0.226	78.5	73.6
0–6	0.272	0.347		76.2	70.7
0–7	0.297	0.381		74.3	68.3
0–8	0.318	0.409	0.291	72.8	66.4
0–9	0.335	0.433		71.5	64.9
0–10	0.348	0.451		70.6	63.7
0–12	0.367	0.477	0.345	69.3	62.1
0–20	0.408	0.520		66.5	59.5
0–24	0.431	0.546	0.437	65.0	57.9
0–30	0.471	0.594		62.4	55.2
0–32	0.485	0.610	0.503	61.6	54.3
0–40	0.531	0.664	0.565	58.8	51.5
0–50	0.567	0.707		56.7	49.3
0–60	0.578	0.721	0.635	56.1	48.6
0–65	0.580	0.723		56.0	48.5

January	Altitude (km)
	0–2	6.177301 × 10⁻² − 4.243258 × 10⁻⁶l + 3.331791 × 10⁻¹¹l²
	2–12	7.1772259 × 10⁻² − 1.018966 × 10⁻⁵l + 5.438857 × 10⁻¹⁰l² − 1.440797 × 10⁻¹⁴l³ + 2.111184 × 10⁻¹⁹l⁴
	12–17	2.168201 × 10⁻² − 1.708914 × 10⁻⁶l + 4.794412 × 10⁻¹¹l² − 4.821832 × 10⁻¹⁶l³
	18–47	2.749415 × 10⁻² − 6.043183 × 10⁻⁶l + 4.952857 × 10⁻¹⁰l² − 1.73234 × 10⁻¹⁴l³ + 2.748747 × 10⁻¹⁹l⁴ − 1.644807 × 10⁻²⁴l⁵
	47–51	−5.0246274 × 10⁻¹ + 3.209868 × 10⁻⁵l − 6.729368 × 10⁻¹⁰l² + 4.656468 × 10⁻¹⁵l³
	51–65	1.241526 × 10⁻¹ − 5.636995 × 10⁻⁶l + 8.609204 × 10⁻¹¹l² − 4.4187473 × 10⁻¹⁶l³
July

	0–15	8.585241 × 10⁻² − 1.439371 × 10⁻⁵l +
		2.255601 × 10⁻⁹l² − 3.082077 × 10⁻¹³l³ + 2.079833 × 10⁻¹⁷l⁴ − 5.087808 × 10⁻²²l⁵
	15–47	4.409444 × 10⁻² − 8.501794 × 10⁻⁶l + 6.408721 × 10⁻¹⁰l² − 2.137128 × 10⁻¹⁴l³ + 3.280708 × 10⁻¹⁹l⁴ − 1.912325 × 10⁻²⁴l⁵
	47–51	−5.381483 × 10⁻¹ + 3.443774 × 10⁻⁵l − 7.221806 × 10⁻¹⁰l² + 4.994872 × 10⁻¹⁵l³
	51–65	8.595289 × 10⁻¹ − 5.584211 × 10⁻⁵l + 1.371591 × 10⁻⁹l² − 1.5063 × 10⁻¹⁴l³ 6.229936 × 10⁻²⁰l⁴

h₁ − h₂ (km)	$\int_{h_{1}}^{h_{2}} K d l$			% Transmission (present work)

	Present work (30°N)		Stephenson et al.	January	July
	January	July	Stephenson et al.	January	July
0–1	0.060	0.079	0.059	94.2	92.4
0–2	0.115	0.148		89.1	86.2
0–3	0.165	0.208	0.157	84.8	81.2
0–4	0.207	0.261		81.3	77.0
0–5	0.242	0.307	0.226	78.5	73.6
0–6	0.272	0.347		76.2	70.7
0–7	0.297	0.381		74.3	68.3
0–8	0.318	0.409	0.291	72.8	66.4
0–9	0.335	0.433		71.5	64.9
0–10	0.348	0.451		70.6	63.7
0–12	0.367	0.477	0.345	69.3	62.1
0–20	0.408	0.520		66.5	59.5
0–24	0.431	0.546	0.437	65.0	57.9
0–30	0.471	0.594		62.4	55.2
0–32	0.485	0.610	0.503	61.6	54.3
0–40	0.531	0.664	0.565	58.8	51.5
0–50	0.567	0.707		56.7	49.3
0–60	0.578	0.721	0.635	56.1	48.6
0–65	0.580	0.723		56.0	48.5

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