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Based on Huygens-Fresnel principle, a general expression for the average image intensity of a heterodyne and a direct-detection imaging system in turbulent media is derived under the assumption of a Gaussian rough-surface model. From the formulation, we find that the object size, turbulence strength, wavelength, and object roughness affect image intensity dramatically in the image plane.

IMAGE INTENSITY OF A GAUSSIAN ROUGH-SURFACE IN ATMOSPHERIC TURBULENCE