## Analytical Procedure for Evaluating Speckle-effect Instrumentation |

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adjacent bright speckles Aeronautics analysis suitable approximately assumptions Ax,y Ax;x Ay)l Beam splitter Central Limit Theorem correlation or spatial corresponding y-polarizations detecting plane detecting surface detector deterministically polarized light Dirac delta function ensemble average equation 9a evaluating speckle factorization implied field correlation fields at positions focal length Fourier transform Fraunhofer diffraction pattern Fresnel diffraction function of corresponding implied by equation impulse response function intensity fluctuation correlation limiting aperture linear transformation normalized correlation optical system phasor physical aperture stop point source position x,y probability density function propagation of light random rect reference beam Referring to equation rough surface object shown in figure simplified analysis sinc function single speckle spatial coherence function spatially coherent light Speckle Area speckle effect speckle instrument speckle interfer speckle interferometer statistically independent subscripted superimposed television camera lens third term time-average holography typical area typical extent typical speckle vidicon xg,yo y-polarized field y(Ax