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A geometrical constraint on shadowing in rough surfaces

Technical Report ·
DOI:https://doi.org/10.2172/532451· OSTI ID:532451
;  [1]
  1. Los Alamos National Lab., NM (United States). Astrophysics and Radiation Measurements Group

In modeling the thermal emissivity of a rough surface, such as wind-driven waves on a lake or ocean, it is customary to treat the surface as a collection of individual facets, each of which is flat but tilted with respect to the horizontal. By considering a one-dimensional cross-section through the rough surface, the authors derive a purely geometrical constraint on the statistical distribution of shadowed facet slopes that should be satisfied by any model of surface emissivity that includes the effect of self-shadowing. The purpose is not to develop a single shadowing model, but to provide a condition that any valid shadowing model should satisfy. Although the emphasis of the presentation is theoretical, some practical ramifications will also be discussed.

Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
532451
Report Number(s):
LA-UR--97-2267; CONF-970706--5; ON: DE97008628
Country of Publication:
United States
Language:
English

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