Abstract
In this chapter, cross sections of a random layer and their optical relations are obtained, in terms of cross sections of the two boundaries, from Sect. 3.3.6, and the medium counterpart, S<Stack><Subscript>2</Subscript><Superscript>(0q)</Superscript></Stack>, which can be obtained as a boundary-value solution of the transport equation subject to the conventional condition of no reflection at the boundaries. The contribution from the entire random medium, S<Stack><Subscript>22</Subscript><Superscript>(q/12+23)</Superscript></Stack> thereby constructed based on the equations of Sect. 4.2.1, first, and the resultant cross section of the layer is then obtained. We then apply the diffusion approximation to the medium part of the contribution by introducing an appropriate boundary condition for the diffusion equation. This enables us to obtain specific expressions of the cross sections in terms of a simple boundary-value solution of the diffusion equation. Finally, the boundary conditions are generalized to the case in which media are random on both sides of a rough boundary.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K.Furutsu: Phys. Rev. A43, 2741 (1991)
K.Furutsu: Phys. Rev. A39, 1386 (1989)
E.Akkermans, P.E.Wolf, R.Maynard: Phys. Rev. Lett. 56, 1471 (1986)
M.B. Van der Mark, M.P. Van Albada, A.Lagendijk: Phys. Rev. B37, 3575 (1988)
A.Ishimaru, L.Tsang: J. Opt. Soc. Am. A5, 228 (1988)
Bibliography
A. Ishimaru: Wave Propagation and Scattering in Random Media, Vols. 1, 2 (Academic Press, New York 1978)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Furutsu, K. (1993). Optical Cross Sections of a Random Layer. In: Random Media and Boundaries. Springer Series on Wave Phenomena, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84807-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-84807-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84809-4
Online ISBN: 978-3-642-84807-0
eBook Packages: Springer Book Archive