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Explain Poisson equation and Poisson spot

Explain Poisson equation and Poisson spot:

Poisson equation (S.D. Poisson): The differential form of Gauss' law, that is,

div E = rho,

Poisson spot (S.D. Poisson): Poisson initially predicted the existence of such a spot, and employed the prediction to show how the wave theory of light should be in error to generate such a counterintuitive outcome. Succeeding observation of the Arago spot given a decisive confirmation of the wave nature of light.

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