Research Catalog

Title

Stochastic models for laser propagation in atmospheric turbulence / R.P. Leland.

Author

Leland, R. P. (Robert Patton), 1956-

Publication

Berlin ; New York : Springer-Verlag, ©1989.

Items in the Library & Off-site

Details

Description

vii, 144 pages : illustrations; 25 cm.

Series Statement

Lecture notes in control and information sciences ; 133

Uniform Title

Lecture notes in control and information sciences ; 133.

Subject

• Laser beams > Atmospheric effects
• Atmospheric turbulence
• Stochastic processes
• Wellenausbreitung
• Stochastisches Modell
• Atmosphärische Turbulenz
• Laserstrahlung
• Control theory
• Faisceaux laser > Effets de l'atmosphère
• Turbulence atmosphérique
• Processus stochastiques

Bibliography (note)

• Includes bibliographical references (pages 116-119).

Contents

WAVE PROPAGATION IN A RANDOM MEDIUM: Statistical description of atmospheric turbulence -- Classical theory: perturbation methods -- The parabolic approximation -- Laser beam model -- The Markov approximation -- WHITE NOISE IN HILBERT SPACES: Review of white noise theory -- Abstract bilinear systems -- Hilbert-schmidt operators -- Relation to ito integrals -- A white noise model for wave propagation -- An ito differential equation model -- The Space H2 -- The Space F -- PRODUCT FORMULA SOLUTIONS: Review of trotter-kato Theory -- Convergence of solutions to parabolic equations with weakly convergent coefficients -- Convergence of product forms for laser propagation -- Product forms as physical random variables -- Convergence of the corresponding ito integrals -- SIMULATION: Simulation problem statement -- Application of product formulas -- Generating pseudo-random fields -- Weak convergence of trigonometric series -- The mutual coherence function -- The distribution of the irradiance function -- White noise as the limit of an ornstein-uhlenbeck process: theory -- White noise as the limit of an ornstein-uhlenbeck process: simulation -- Distortion of the beam -- FEYNMAN PATH INTEGRALS: Relation to product formulas -- A path integral for laser propagation: the feynman-ito equation -- Discussion of the work Of K. Furutsu -- First order approximate solutions -- Locally linear approximate solutions -- Second order approximate solutions -- Approximate first moment.

ISBN

• 0387515380
• 9780387515380
• 3540515380
• 9783540515388

LCCN

89021600

OCLC

• ocm20170925
• 20170925
• SCSB-9222391

Owning Institutions

Princeton University Library