Publication Abstracts

Sato et al. 1977

Sato, M., K. Kawabata, and J.E. Hansen, 1977: A fast invariant imbedding method for multiple scattering calculations and an application to equivalent widths of CO2 lines on Venus. Astrophys. J., 216, 947-962, doi:10.1086/155539.

A fast method is developed for numerical solution of the invariant imbedding equation for the reflection function of a plane-parallel atmosphere. The two key ingredients in obtaining the fast solution are application of a tau-integration technique designed for stiff differential equations and explicit use of the fact that the high-frequency Fourier terms arise from the outer skin of the atmosphere. For a homogeneous atmosphere the resulting computing time is approximately a factor of 2 longer than for the efficient "doubling" method; however, for an inhomogeneous atmosphere the method described in this paper is much faster than the "adding" method.

As a sample application we compute the equivalent width of CO2 absorption lines as a function of phase angle for several models of the atmosphere of Venus. The results indicate that it is essential to incorporate the vertical distribution of pressure and temperature, and thus employ an inhomogeneous model, for a quantitative analysis of atmospheric structure based on absorption-line observations. They also indicate that extraction of the potential detailed information on vertical atmospheric structure contained in spectroscopic measurements will depend on analysis of line shapes and the relative depths of different lines, requiring high spatial resolution. Observations of the equivalent widths of the R(0) lines of the 0.782 µm and 1.049 µm CO2 bands are consistent with an inhomogeneous atmospheric model in which the cloud particle number density peaks at ∼55 km, but not with simple homogeneous or reflecting layer models.

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BibTeX Citation

@article{sa04000r,
  author={Sato, M. and Kawabata, K. and Hansen, J. E.},
  title={A fast invariant imbedding method for multiple scattering calculations and an application to equivalent widths of CO2 lines on Venus},
  year={1977},
  journal={Astrophys. J.},
  volume={216},
  pages={947--962},
  doi={10.1086%2F155539},
}

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RIS Citation

TY  - JOUR
ID  - sa04000r
AU  - Sato, M.
AU  - Kawabata, K.
AU  - Hansen, J. E.
PY  - 1977
TI  - A fast invariant imbedding method for multiple scattering calculations and an application to equivalent widths of CO2 lines on Venus
JA  - Astrophys. J.
VL  - 216
SP  - 947
EP  - 962
DO  - 10.1086%2F155539
ER  -

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