A first-order linear perturbation model for simulating imaging through weak turbulence is introduced and developed. It is based on a first-order approximation of the Born expansion of paraxial propagation. The model generates a random scalar field that encodes information about the imaging parameters, such as wavelength, range, , and the aperture diameter. The gradients of the field are then multiplied to the corresponding gradients of the average turbulent image of a Lambertian target. The result is a model that can rapidly generate a sequence of turbulent images. Some limitations of the model are discussed, and possible improvements are suggested.
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