Abstract

There are significant differences between Ishimaru’s theory [ J. Opt. Soc. Am. 68, 1045 ( 1978)] and Furutsu’s theory [ J. Opt. Soc. Am. 70, 360 ( 1980)] on pulse propagation in discrete random media, although both deal with the same physical problem. In this paper we attempt to clarify the confusion created by the two theories. A simple numerical example is shown to illustrate the difference and the range of validity of the theory. It is shown that if a delta-function pulse is initiated at r = 0 and t = 0 in a discrete random medium, Furutsu’s diffusion theory predicts. that the pulse diffuses instantly and arrives at all points with infinite speed for t > 0; therefore its range of validity is limited to the time interval tL/C, where L is the propagation distance and C is the velocity of light. Ishimaru’s theory gives a delta-function pulse propagating out at a finite velocity of c/3 followed by a diffusing tail. Therefore Ishimaru’s is not a usual diffusion theory, but it includes both propagation and diffusion, and its range of validity is different from that of the pure diffusion theory. The limitations of both theories are also discussed.

© 1984 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Photon migration at short times and distances and in cases of strong absorption

D. J. Durian and J. Rudnick
J. Opt. Soc. Am. A 14(1) 235-245 (1997)

References

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
Login to access OSA Member Subscription

Cited By

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
Login to access OSA Member Subscription

Figures (2)

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
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations 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
Login to access OSA Member Subscription

Metrics

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
Login to access OSA Member Subscription