Research on the Integration Method for Laser Beam Progagation in Turbulent Flows

XU Ling-fei; ZHOU Zhi-chao; REN Tian-rong

doi:10.21656/1000-0887.370065

Volume 37 Issue 10

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XU Ling-fei, ZHOU Zhi-chao, REN Tian-rong. Research on the Integration Method for Laser Beam Progagation in Turbulent Flows[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1060-1072. doi: 10.21656/1000-0887.370065

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Research on the Integration Method for Laser Beam Progagation in Turbulent Flows

doi: 10.21656/1000-0887.370065

Shanghai Institute of Mechanical and Electrical Engineering, Shanghai 201109, P.R.China

Received Date: 2016-03-07
Rev Recd Date: 2016-09-08
Publish Date: 2016-10-15

Abstract

Abstract

The integration method for the solution of the Maxwell equations with the Born approximation was less utilized in the aero-optic numerical simulation because of its difficulty in the discrete calculation. Combined with the generalized convolution-FFT (GCV-FFT) algorithm, the more accurate results were obtained from the numerical computation of the Rayleigh-Sommerfeld diffraction in the free space. With some modifications to the Green function and the sampling coefficients, the integration method can be used in the numerical simulation of aero-optics. The laser beam propagation through a supersonic boundary layer shows that the effects of aero-optics (beam break, beam shift, etc.) can be well simulated with the integration method combined with the generalized GCV-FFT algorithm. The numerical simulation results gotten with the proposed integration method would be closer to the problems’ physical essence due to its independence from the paraxial approximation.
- integration method,
- laser beam propagation,
- turbulent flow,
- Born approximation,
- scattering potential,
- paraxial approximation

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References(21)

References

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