#### Applied Optics, 37, pp 2464-2472

# A Practical Model for the Calculation of Multiply Scattered
Lidar Returns

*
Edwin W. Eloranta *

University of Wisconsin

1225 W. Dayton St.

Madison, Wisconsin 53706

## Abstract

This paper presents an equation to predict the intensity of the
multiply scattered lidar return. Both the scattering cross section
and the scattering phase function can be specified as a function of
range. This equation applies when the cloud particles are larger than
the lidar wavelength. This approximation considers photon
trajectories with multiple small-angle forward scattering events and
one large-angle scattering which directs the photon back towards the
receiver. Comparisons with Monte Carlo simulations, exact double
scatter calculations, and lidar data demonstrate that this model
provides accurate results.

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eloranta@lidar.ssec.wisc.edu