Open AccessProbability theory for 3-layer remote sensing in ideal gas law environment
Author(s) -
Avishai BenDavid,
Charles E. Davidson
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.019768
Subject(s) - probability density function , ideal (ethics) , radiative transfer , ideal gas , ideal gas law , perturbation (astronomy) , physics , optics , statistical physics , correlation , variance (accounting) , statistics , mathematics , quantum mechanics , law , geometry , accounting , political science , business
We extend the probability model for 3-layer radiative transfer [Opt. Express 20, 10004 (2012)] to ideal gas conditions where a correlation exists between transmission and temperature of each of the 3 layers. The effect on the probability density function for the at-sensor radiances is surprisingly small, and thus the added complexity of addressing the correlation can be avoided. The small overall effect is due to (a) small perturbations by the correlation on variance population parameters and (b) cancellation of perturbation terms that appear with opposite signs in the model moment expressions.