OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 10 — Apr. 1, 1998
  • pp: 1935–1944

Photon density waves scattered from cylindrical inhomogeneities: theory and experiments

Scott A. Walker, David A. Boas, and Enrico Gratton  »View Author Affiliations


Applied Optics, Vol. 37, Issue 10, pp. 1935-1944 (1998)
http://dx.doi.org/10.1364/AO.37.001935


View Full Text Article

Enhanced HTML    Acrobat PDF (211 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present an analytical solution for the scattering of diffuse photon density waves from an infinite circular, cylindrical inhomogeneity embedded in a homogeneous highly scattering turbid medium. The analytical solution, based on the diffusion approximation of the Boltzmann transport equation, represents the contribution of the cylindrical inhomogeneity as a series of modified Bessel functions integrated from zero to infinity and weighted by different angular dependencies. This series is truncated at the desired precision, similar to the Mie theory. We introduce new boundary conditions that account for specular reflections at the interface between the background medium and the cylindrical inhomogeneity. These new boundary conditions allow the separate recovery of the index of refraction of an object from its absorption and reduced scattering coefficients. The analytical solution is compared with data obtained experimentally to evaluate the predictive capability of the model. Optical properties of known cylindrical objects are recovered accurately. However, as the radius of the cylinder decreases, the required measurement signal-to-noise ratio rapidly increases. Because of the new boundary conditions, an upper limit can be placed on the recovered size of cylindrical objects with radii below 0.3 cm if they have a substantially different index of refraction from that of the background medium.

© 1998 Optical Society of America

OCIS Codes
(120.5710) Instrumentation, measurement, and metrology : Refraction
(160.4760) Materials : Optical properties
(170.5280) Medical optics and biotechnology : Photon migration

History
Original Manuscript: June 23, 1997
Revised Manuscript: November 13, 1997
Published: April 1, 1998

Citation
Scott A. Walker, David A. Boas, and Enrico Gratton, "Photon density waves scattered from cylindrical inhomogeneities: theory and experiments," Appl. Opt. 37, 1935-1944 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-10-1935

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