By Vladimir P. Lukin, Boris V. Fortes
As a result of extensive software of adaptive optical platforms, an knowing of optical wave propagation in randomly inhomogeneous media has develop into crucial, and a number of other numerical types of person AOS elements and of effective correction algorithms were constructed. This monograph includes distinctive 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 procedure
- Adaptive Imaging
- Minimization and part Correction of Thermal Blooming of High-Power Beams
- A Reference Beacon as a Key part of an Adaptive Optics approach
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Additional resources for Adaptive Beaming and Imaging in the Turbulent Atmosphere (SPIE Press Monograph Vol. PM109)
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.
We have the parameters of the path at which thermal blooming of the first beam occurs: V 1 z , 1(z), and 1 z . 25) is fulfilled and the complex amplitudes of the beams are related by Eqs. 12). Divide Eq. 27) written for n1 r (1 z ) by Eq. 25) for n2 r . With allowance made for the intensity cross section ratio being the consequence of Eq. 28) and the results of differentiation of Eq. 29) 42 Chapter 1 2 n2 t (1 z ) V1 z /(1 z ) n2 1 z 1 z /(1 z ) 2 n2 n2 t V2 ( z ) n2 2 z 2 n2 z /(1 z ) .
Thus, in our model we can omit the details of the space-time structure of partially coherent beams. Common practice in this case is to determine the boundary condition for the second-order coherence function: Г 2 (1 , 2 ) E (1 ) E * (2 ) . 5) and where U 0 () is a regular component of the field. In the mathematical model employed, we have to solve the wave equation describing the field. In the framework of this model, we need a method that allows propagation of partially coherent radiation.