By Vladimir P. Lukin, Boris V. Fortes
As a result of the extensive software of adaptive optical platforms, an knowing of optical wave propagation in randomly inhomogeneous media has turn into crucial, and several other numerical versions of person AOS parts and of effective correction algorithms were constructed. This monograph comprises particular 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 variation
- Mathematical Simulation of Laser Beam Propagation within the surroundings
- Modeling an Adaptive Optics approach
- 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
Ser. , 49, pp. 536–540, 1985. 50. A. 104–106, 1983. 51. C. Bradley, J. Herrmann, “Numerical calculation of light propagation in a nonlinear medium (abstract),” J. Opt. Soc. , 61, No. 5, pp. 668, 1971. 52. J. 6 m km on the far-field irradiance distribution,” J. Opt. Soc. , 62, No. 3, pp. 373–378, 1972. 53. I. Talanov, “Focusing of light in cubic media,” Pis’ma JETF, 11, pp. 303–305, 1970. 54. V. Ustinov, “Application of Talanov’s coordinates transformation for calculation of a thermal blooming optical beam in a gas jet,” Izv.
However, a difficulty arises that is due to correlation of the expansion coefficients in terms of the Zernike polynomials. The correlation matrix is nondiagonal, so we cannot generate coefficients as statistically independent random numbers. To solve this problem, we can use the expansion in the Karhunen–Loeve series , the correlation matrix of whose coefficients is diagonal by definition. However, the direct use of the Karhunen–Loeve expansion is problematic because the functions in this case have no explicit analytical form.
V. Pokasov, Coherence of Laser Radiation in the Atmosphere, Nauka, Novosibirsk, 1985. 47. N. Kalitkin, Numerical Methods, Nauka, Moscow, 1978. Mathematical Simulation of Laser Beam Propagation in the Atmosphere 45 48. I. Klyatskin, Statistical Description of Dynamical Systems with Fluctuated Parameters, Nauka, Moscow, 1975. 49. A. P. L. Mironov, “Efficient application of adaptive optical systems in self-action conditions in the atmosphere,” Izv. Akad. Nauk SSR. Ser. , 49, pp. 536–540, 1985. 50.