1995
DOI: 10.1364/ao.34.002765
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Rayleigh-scattering calculations for the terrestrial atmosphere

Abstract: Rayleigh-scattering cross sections and volume-scattering coefficients are computed for standard air; they incorporate the variation of the depolarization factor with wavelength. Rayleigh optical depths are then calculated for the 1962 U.S. Standard Atmosphere and for five supplementary models. Analytic formulas are derived for each of the parameters listed. The new optical depths can be 1.3% lower to 3% higher at midvisible wavelengths and up to 10% higher in the UV region compared with previous calculations, … Show more

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Cited by 612 publications
(449 citation statements)
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“…The parameters characterizing this type of scattering are well documented in the literature (e.g., McCartney, 1976). The total cross section for Rayleigh scattering in a standard atmosphere (15 • C and 1013.25 hPa), σ std m , is calculated as in Bucholtz (1995), i.e., without the approximation for the refractive index. This is, in turn, computed from the equations provided by Peck and Reeder (1972).…”
Section: Molecular Referencementioning
confidence: 99%
“…The parameters characterizing this type of scattering are well documented in the literature (e.g., McCartney, 1976). The total cross section for Rayleigh scattering in a standard atmosphere (15 • C and 1013.25 hPa), σ std m , is calculated as in Bucholtz (1995), i.e., without the approximation for the refractive index. This is, in turn, computed from the equations provided by Peck and Reeder (1972).…”
Section: Molecular Referencementioning
confidence: 99%
“…Inclusion of interactive refraction is required as the operational measurements are used in the retrieval rather than fixed values of SZA. Calculation of the atmospheric refractive index follows that of Bucholtz (1995). The refracted ray path is calculated by using Snell's law in circular symmetry to obtain the geometric impact parameter:…”
Section: Radiative Transfer Modelmentioning
confidence: 99%
“…From this equation the SZA associated with any point along the path is calculated, which in turn can be used to calculate the path lengths for each discrete layer of the forward model atmosphere. The Rayleigh scattering cross-sections and phase functions are taken from Bucholtz (1995). Mie scattering crosssections and phase functions are also included for scattering and absorption from atmospheric aerosols.…”
Section: Radiative Transfer Modelmentioning
confidence: 99%
“…probe, suitable for pulsed beams of this type, had a calibration uncertainty of 5%, the largest individual contribution to the yield uncertainty. Based on Rayleigh scattering calculations as discussed in [14] and taking into account that fluorescence light is emitted isotropically, it then was possible to calculate the number of ADC counts per isotropically emitted 337 nm photon per meter. In order to be able to take measurements at different pressures inside the chamber, coated glass windows with close to 100% transmission efficiency in the UV range were attached to both beam ports.…”
Section: Optical Calibration and Simulationmentioning
confidence: 99%
“…Here, N ADC is the signal counts recorded for each PMT, N ped is the number of pedestal counts measured in the respective signal channel, E is the laser pulse energy, P , and T are the pressure and temperature measured in the chamber, and k 0 accounts for the light background from scattering of the laser beam with the chamber material. S = 4.3 · 10 7 photons m is the expected Rayleigh scattering rate of 337.13 nm light calculated from the expressions in [14] for standard pressure (760 torr), and temperature (288.15 K). After the χ 2 minimiza- Figure 2.…”
Section: Optical Calibration and Simulationmentioning
confidence: 99%