Abstract

A multiple-scattering lidar equation is derived from a phenomenological representation of the scattering processes. The contributions are separated into the unscattered, singly scattered, and multiply scattered illumination of the scattering volume, a single backscattering reflection from that volume, and the unscattered and multiply scattered propagation back to the receiver. The equation is obtained in the form of analytic expressions that explicitly show the signal dependence on the extinction coefficient, the effective particle size, the range, and the receiver field of view. Consistent agreement is found with Monte Carlo calculations and published laboratory measurements. Numerical simulations demonstrate that measurements made at three or more fields of view can be inverted to solve for the extinction coefficient and the effective particle radius. The multiple scatterings taken into account in the proposed equation are the small-angle diffraction scatterings; the wide-angle scatterings caused by refraction and reflection are considered lost, except for one backscattering at an angle close to 180°. Consequently, the equation is applicable to cases in which the projection of the lidar receiver field of view on the cloud is of the order of the angular width of the diffraction peak of the phase function times the penetration depth into the cloud.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (79)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription