Publication Abstracts

Kawabata et al. 2000

Kawabata, K., M. Sato, and L.D. Travis, 2000: A new approach to computing theoretical polarization curves along the low latitude regions of a planetary disk observed at small phase angles. Appl. Math. Comput., 116, 115-132, doi:10.1016/S0096-3003(99)00199-X.

Linear polarization distributions computed along and around the intensity equator of a planetary disk observed at small phase angles tend to show a very pronounced artificial oscillatory behavior or wiggles. The purpose of this work is twofold: to direct attention to the rather tenacious, but not duly publicized computational problem on one hand, and to exploit some effective procedure to minimize those wiggles on the other. For these purposes, we have made extensive numerical computations of the linear polarization curves with various procedures at wavelength 365 nm employing the Venus cloud model of Hansen and Hovenier as a sample, some of which are presented in this work. Our results indicate that the use of the [0,1] part of the Gauss-Legendre quadrature points for μ, the cosine of the zenith angle of incident or emergent light, and their corresponding weights generated in the interval [-1,1] works extremely well for interpolating reflection matrix elements. Furthermore, it is shown that sufficiently well-behaved polarization distribution curves can be obtained by computing the single scattering contributions to the reflection matrix elements exactly and those due to multiple scattering approximately using a natural bicubic spline interpolation formula where the independent variable is to be switched from μ to sqrt(1-μ2) if μ ≫ 0.7071 and vice versa.

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BibTeX Citation

@article{ka03000u,
  author={Kawabata, K. and Sato, M. and Travis, L. D.},
  title={A new approach to computing theoretical polarization curves along the low latitude regions of a planetary disk observed at small phase angles},
  year={2000},
  journal={Appl. Math. Comput.},
  volume={116},
  pages={115--132},
  doi={10.1016/S0096-3003(99)00199-X},
}

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RIS Citation

TY  - JOUR
ID  - ka03000u
AU  - Kawabata, K.
AU  - Sato, M.
AU  - Travis, L. D.
PY  - 2000
TI  - A new approach to computing theoretical polarization curves along the low latitude regions of a planetary disk observed at small phase angles
JA  - Appl. Math. Comput.
VL  - 116
SP  - 115
EP  - 132
DO  - 10.1016/S0096-3003(99)00199-X
ER  -

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