New approach to determining signal reduction in an attenuatinginhomogeneous atmosphere,

摘要

Abstract: This paper discusses an aspect of spatially varying dissipative (extinction) and reflective (backscattering) losses that ultimately may allow a relatively quick appraisal of measured data quality, using a new figure of merit q(x), after some limited preprocessing. In order to do this, the paper presents the exact analytical, closed-form, finite solution for the inversion of the classical first-order nonlinear Riccati differential equation (RDE) which relates the reflection coefficient (R) and its derivative (dR/dx) to the otherwise arbitrary profiles of the media parameters $LB$epsilon$-1$/(X) $EQ $epsilon$-1$/(X) $MIN j$epsilon$-2$/(X)$RB in the coefficients of the RDE. This synthesis assumes a deterministic medium which can be accurately represented by the usual media parameters. !9