OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 10 — Oct. 1, 1985
  • pp: 1725–1734

Diffusion approximation for scattering in a cylinder: optics of phototropism

Alfred R. Steinhardt and Leonid Fukshansky  »View Author Affiliations


JOSA A, Vol. 2, Issue 10, pp. 1725-1734 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001725


View Full Text Article

Enhanced HTML    Acrobat PDF (1181 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A quantitative treatment of the mechanism of phototropism in plants (directed growth caused by assymetrical illumination) implies the description of light propagation in both nonscattering and intensely scattering finite cylinders. We solve this problem for cylinders illuminated unilaterally by parallel and diffuse light applying the diffusion theory. As a first step, the complicated spatial distribution of the coherent intensity as caused by the jump of the refractive index and the nonzero curvature of the cylinder has been derived by means of differential geometry. This distribution (which is also the final solution for nonscattering objects) provides the source term in the diffusion equation (for isotropic scattering) for the turbid cylinder, which is then solved using a Green function.

© 1985 Optical Society of America

History
Original Manuscript: August 16, 1984
Manuscript Accepted: May 22, 1985
Published: October 1, 1985

Citation
Alfred R. Steinhardt and Leonid Fukshansky, "Diffusion approximation for scattering in a cylinder: optics of phototropism," J. Opt. Soc. Am. A 2, 1725-1734 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1725

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

You do not have subscription access to this journal. Figure files 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. Article level metrics 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