New determination of Rayleigh scattering in the terrestrial atmosphere

C. Fröhlich; Glenn E. Shaw

doi:10.1364/AO.19.001773

Applied Optics
Vol. 19,
Issue 11,
pp. 1773-1775
(1980)
•https://doi.org/10.1364/AO.19.001773

New determination of Rayleigh scattering in the terrestrial atmosphere

C. Fröhlich and Glenn E. Shaw

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C. Fröhlich and Glenn E. Shaw, "New determination of Rayleigh scattering in the terrestrial atmosphere," Appl. Opt. 19, 1773-1775 (1980)

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Abstract

New Rayleigh-scattering optical thickness values for the terrestrial atmosphere in the 260 < λ < 1500-nm wavelength range have been calculated using updated data on atmospheric optical parameters. The calculations include molecular scattering from water vapor and take into account varying atmospheric composition with altitude. The new Rayleigh-scattering coefficients average 4.5% lower than those listed by Penndorf in 1955.

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	δ × 10²	D	n	Concentration
Nitrogen	1.17 ±0.06 (Ref. 9)	1.0198 ± 0.0010	1.000297	0.781
Oxygen	1.4 ± 0.1 (Ref. 8)	1.0237 ± 0.0017	1.000272	0.209
Argon	0.002 ± 0.001 (Ref. 9)	1.00003 ± 0.00002	1.000281	0.010

Wavelength (nm)	Atmospheric models

	15°N, mean	45°N, winter	45°N, summer	60°W, winter	60°N, summer
260.0	2.18505	2.18313	2.18522	2.18196	2.17904
280.0	1.57963	1.57832	1.57979	1.57748	1.57533
300.0	1.17273	1.17180	1.17286	1.17118	1.16957
320.0	0.89022	0.88953	0.89032	0.88907	0.88783
340.0	0.68867	0.68816	0.68876	0.68780	0.68683
360.0	0.54153	0.54114	0.54161	0.54086	0.54010
380.0	0.43196	0.43166	0.43202	0.43143	0.43082
400.0	0.34894	0.34869	0.34899	0.34851	0.34802
420.0	0.28505	0.28486	0.28509	0.28471	0.28430
440.0	0.23522	0.23506	0.23525	0.23494	0.23460
460.0	0.19587	0.19574	0.19590	0.19564	0.19536
480.0	0.16445	0.16434	0.16448	0.16426	0.16402
500.0	0.13911	0.13902	0.13913	0.13895	0.13875
550.0	0.09424	0.09418	0.09426	0.09413	0.09400
600.0	0.06613	0.06609	0.06614	0.06606	0.06596
650.0	0.04778	0.04775	0.04779	0.04773	0.04766
700.0	0.03539	0.03537	0.03540	0.03535.	0.03530
750.0	0.02678	0.02676	0.02678	0.02675	0.02671
800.0	0.02063	0.02062	0.02064	0.02061	0.02058
850.0	0.01616	0.01615	0.01616	0.01614	0.01611
900.0	0.01283	0.01282	0.01283	0.01282	0.01280
1000.0	0.00840	0.00839	0.00840	0.00839	0.00838
1100.0	0.00572	0.00572	0.00572	0.00572	0.00571
1200.0	0.00404	0.00403	0.00404	0.00403	0.00402
1300.0	0.00293	0.00292	0.00293	0.00292	0.00292
1400.0	0.00217	0.00217	0.00217	0.00217	0.00217
1500.0	0.00165	0.00165	0.00165	0.00165	0.00164

Model	α × 10³	β × 10³
15°N, annual	8.3829	0.0065
45°N, winter	8.3781	0.0036
45°N, summer	8.3827	0.0069
60°N, winter	8.3715	0.0027
60°N, summer	8.3617	0.0047

Wavelength range (nm)	Maximum error (%)
250–300	0.8
300–900	0.1
900–1200	0.7
1200–2000	5.4

	δ × 10²	D	n	Concentration
Nitrogen	1.17 ±0.06 (Ref. 9)	1.0198 ± 0.0010	1.000297	0.781
Oxygen	1.4 ± 0.1 (Ref. 8)	1.0237 ± 0.0017	1.000272	0.209
Argon	0.002 ± 0.001 (Ref. 9)	1.00003 ± 0.00002	1.000281	0.010

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