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To begin with, if F = á M, N, P ñ, then the divergence of F( x,y,z) is defined to be div F = M x N y P z Notice that the divergence of a vector field is a function and not a vector field Similarly, the curl of F( x,y,z) is defined to be the new vector field. X á y " =!. ª p x è f ~ HE V ¥ s ¡ V { ' ~ Õ ,36 q u s y U k V ¼ ª f QLW SSL 19,',$ *H)RUFH *7;.

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= k sin "Note U s(!) is the Fourier T ransform of us(x) The Fraunhofer dif fraction pattern is the Fourier transform of the amplitude function leaving the diffracting apertur e u p!. ܯ ϸ Il M B 7 / A 0 !. That is, the 2form dF corresponds to the curl of the vector field F = á M, N, P ñ, so that Stoke's theorem in terms of differential forms is as follows Stoke's Theorem If F is a 1form with differentiable coefficients and S is an oriented surface, then ¶S.

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