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We continue the analysis of our previous articles which were devoted totype-I parametric down conversion, the extension to type-II beingstraightforward. We show that entanglement, in the Wigner representation, isjust a correlation that involves both signal and vacuum fluctuations. Ananalysis of the detection process opens the way to a complete description ofparametric down conversion in terms of pure Maxwell electromagnetic waves.Comment: See also quant-ph/9711029 and quant-ph/971103

Type II parametric downconversion in the Wigner-function formalism: entanglement and Bell's inequalities