Atmosphere optic statistical modeling cannot be used to analyze aerodynamic flow laser beam propagation characteristics without accounting for the density spectrum of the refractive index. However, numerical simulations support the analysis of these characteristics through ray tracing, random-phase-screen diffraction modeling, and Maxwell-equation-based scattering modeling. We analyzed the laser-beam propagation in aero-optics using the Maxwell-equation-based scattering model. Three approaches offer solutions to Maxwell’s equations in statistically inhomogeneous media: high-order numerical differentiations with paraxial approximation and Runge–Kutta methods, Born-approximated scattering potential integral equations, and Rytov-approximated scattering potential integral equations. We performed high-accuracy calculations of the numerical integral equation using GCV-FFT. Finally, we analyzed the laser-beam propagations using these methods for a 2.9 Ma turbulence boundary layer (TBL) flow, the refractive index of which was obtained by direct numerical simulation (DNS) of the N-S equation.
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