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.
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