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We study the moduli space of the spectral curves y^2=W'(z)^2+f(z) which characterize the vacua of N=1 U(n) supersymmetric gauge theories with an adjoint Higgs field and a polynomial tree level potential W(z). It is shown that there is a direct way to associate a spectral density and a prepotential functional to these spectral curves. The integrable structure of the Whitham equations is used to determine the spectral curves from their moduli. An alternative characterization of the spectraldoi:10.1088/1751-8113/46/22/225203 fatcat:n72kdakdvzhehp4p6qtwhvhchy