By Vladimir P. Lukin, Boris V. Fortes
A result of large program of adaptive optical structures, an figuring out of optical wave propagation in randomly inhomogeneous media has turn into crucial, and a number of other numerical versions of person AOS elements and of effective correction algorithms were built. This monograph includes exact descriptions of the mathematical experiments that have been designed and conducted in the course of greater than a decade's worthy of research.
- Preface to the English version
- Mathematical Simulation of Laser Beam Propagation within the surroundings
- Modeling an Adaptive Optics process
- Adaptive Imaging
- Minimization and part Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key portion of an Adaptive Optics procedure
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Extra info for Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109)
18). 4 Modification of the Numerical Model for Partially Coherent Beams In the preceding sections we considered propagation of coherent beams. However, the radiation divergence for real laser sources is always greater than the diffraction limit. This is due to the processes that develop in the active medium of a laser, deformations of a laser cavity, the multimode structure of laser radiation, and so on. Formally speaking, under the boundary conditions of the wave equation, we should allow for phase and amplitude fluctuations within the emitting aperture.
For a beam propagating in a randomly inhomogeneous medium, turbulent divergence is a function of longitudinal coordinate z. So, to take into account the different factors that influence beam propagation, we should sum the corresponding cross sections. Naturally, the effect of the different factors is assumed to be independent. In the following discussion we propose a modification of the numerical model for propagation of a coherent beam to allow for the initial divergence of Mathematical Simulation of Laser Beam Propagation in the Atmosphere 35 the beam.
5) or, what is equivalent, E0 A0 exp i arg U U d . 6) Here A0 is the complex amplitude of the initial beam in the plane of the emitting aperture. , through an eikonal of the reference wave : E0 A0 exp ik d . 7) impose no restrictions on the reference wave, but they assume that the diffraction-limited phase of the reference wave is known. 8) 50 Chapter 2 E0 A0 exp i arg U 0 (for PC correction).