A stochastic model for laser propagation along folded paths

Author

Leland, Robert P.

Author_Institution

Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

1553

Abstract

A laser beam propagating through the atmosphere and reflecting off a plane mirror is modelled by a stochastic bilinear system. The model consists of a random Schroedinger equation in which a white noise, representing the effects of turbulence, is multiplied by the state. The reflected beam is an anticipative random process, and cannot be represented in a straightforward way by an Ito integral. The author derives a white noise model, and discusses an approximation of product form type. The product form approximation is shown to converge to the product of two Ito integrals

Keywords

Schrodinger equation; atmospheric light propagation; atmospheric turbulence; backscatter; integral equations; laser beams; light reflection; light scattering; linear systems; random processes; stochastic systems; white noise; Ito integrals; anticipative random process; folded paths; laser propagation; plane mirror; product form approximation; random Schroedinger equation; stochastic bilinear system; stochastic model; turbulence; white noise; Atmosphere; Atmospheric modeling; Indium tin oxide; Laser beams; Laser modes; Laser noise; Optical propagation; Stochastic processes; Stochastic resonance; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325448

Filename

325448