Jump to Content
Your Recent History
View Cart
LOG IN or SELECT A PURCHASE OPTION:
J. Math. Phys. 27, 377 (1986); http://dx.doi.org/10.1063/1.527343 (3 pages)
Relation between the connected diagram and smoothing methods for rough surface scattering
(Received 26 March 1985; accepted 23 August 1985)
Alerts
Alert Me When Cited
Alert Me When Corrected
Tools
Download Citation
Add to MyScitation
Permissions / Reprints
Blog This Article
Print-Friendly
Research Toolkit
Share
Email Abstract
Connotea
CiteULike
del.icio.us
BibSonomy
Tweet this Article
Add to FacebookIn previous work by the author on connected diagram expansion methods for the problem of scattering from a random rough surface a stochastic Lippmann–Schwinger integral equation in Fourier transform space for the scattered part of the Green’s function was derived. Averaging techniques using homogeneous statistics and a statistical cluster decomposition on the surface interaction function yielded a connected diagram expansion for the coherent and incoherent Green’s functions. Here it is demonstrated that the smoothing method applied to this stochastic integral equation yields a result that agrees with the connected diagram expansion only to second order in the surface interaction. For third‐ and higher‐order interactions, the smoothing method does not yield connected terms.
KEYWORDS and PACS
ARTICLE DATA
Digital Object Identifier
PUBLICATION DATA
For access to fully linked references, you need to log in.
-
G. G. Zipfel and J. A. DeSanto, J. Math. Phys. 13, 1903 (1972JMAPAQ000013000012001903000001).
J. A. DeSanto, J. Math. Phys. 15, 283 (1974JMAPAQ000015000003000283000001).
J. A. DeSanto, J. Math. Phys. 14, 1566 (1973JMAPAQ000014000011001566000001).
This Publication
Scitation
SPIN
Google Scholar
PubMed