OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 4 — Apr. 1, 1981
  • pp: 410–422

Matrix-exponential description of radiative transfer

P. C. Waterman  »View Author Affiliations


JOSA, Vol. 71, Issue 4, pp. 410-422 (1981)
http://dx.doi.org/10.1364/JOSA.71.000410


View Full Text Article

Acrobat PDF (1434 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

By applying the matrix-exponential operator technique to the radiative-transfer equation in discrete form, new analytical solutions are obtained for the transmission and reflection matrices in the limiting cases x ≪ 1 and x ≫ 1, where x is the optical depth of the layer. Orthogonality of the eigenvectors of the matrix exponential apparently yields new conditions for determining Chandrasekhar’s characteristic roots. The exact law of reflection for the discrete eigenfunctions is also obtained. Finally, when used in conjunction with the doubling method, the matrix exponential should result in reductions in both computation time and loss of precision.

© 1981 Optical Society of America

Citation
P. C. Waterman, "Matrix-exponential description of radiative transfer," J. Opt. Soc. Am. 71, 410-422 (1981)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-71-4-410

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited