The microwave signal attenuation pass through the solid rocket exhausts by used the theory of dusty plasma is presented. The self-consistently linear coupling of the dust charge fluctuations process with the plasma collective motion are taken into account and the kinetic equation are adopted to calculate the complex dielectric permittivity of the weakly ionized dusty plasma. The expressions obtained shows that there are some modifications introduced by the presence dust particle, which is different from the traditional theory of plasma. And then we apply this expression to analyze the attenuation coefficient of the rocket exhaust plume. Numerical result show that the density and radius of the dust particles has greatly influence on the attenuation of the microwave signal, which shows agree well with the experimental measured.
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