Transmission as an input boundary value for an analytical solution of a single-scatter lidar equation
article
Single-scatter lidar signals carry information on the spatial atmospheric backscatter coefficient,
attenuated by the path-integrated extinction. Assuming that the relationship between the backscatter
and the extinction is known, the inverted extinction profile and the path-integrated extinction are
uniquely related to the input boundary value. The integrated extinction over a certain range interval
is a measure of the optical transmission along that path. In reverse, for a given transmission over the
path of interest, the input boundary value is uniquely defined. An analytical expression is derived that
describes the input boundary condition for the inversion of the single-scatter lidar equation in terms of
the transmission losses over the path of interest. The proposed method is useful in situations in which
independent transmission measurements are carried out or in situations in which targets such as
multiple cloud layers or beam stops are available in the lidar path. Equations for both the forward and
the backward integration method are presented. Compared with the widely accepted inversion
schemes that are based on single-point reference extinction values, the proposed method is less sensitive
to noise.
attenuated by the path-integrated extinction. Assuming that the relationship between the backscatter
and the extinction is known, the inverted extinction profile and the path-integrated extinction are
uniquely related to the input boundary value. The integrated extinction over a certain range interval
is a measure of the optical transmission along that path. In reverse, for a given transmission over the
path of interest, the input boundary value is uniquely defined. An analytical expression is derived that
describes the input boundary condition for the inversion of the single-scatter lidar equation in terms of
the transmission losses over the path of interest. The proposed method is useful in situations in which
independent transmission measurements are carried out or in situations in which targets such as
multiple cloud layers or beam stops are available in the lidar path. Equations for both the forward and
the backward integration method are presented. Compared with the widely accepted inversion
schemes that are based on single-point reference extinction values, the proposed method is less sensitive
to noise.
Topics
TNO Identifier
94913
Source
Applied Optics, 35(20 June), pp. 3255-3260.
Pages
3255-3260
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