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InverseFourierTransform[ BesselJ[1, 2 \[Pi] Sqrt[\[Xi]^2 + \[Eta]^2]]/Sqrt[\[Xi]^2 + \[Eta]^2] Exp[I*k*d - I*\[Pi]\[Lambda]d Sqrt[\[Xi]^2 + \[Eta]^2]], {\[Xi], \[Eta]}, {x, y}] |
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InverseFourierTransform[ BesselJ[1, 2 \[Pi] Sqrt[\[Xi]^2 + \[Eta]^2]]/Sqrt[\[Xi]^2 + \[Eta]^2] Exp[I*k*d - I*\[Pi]\[Lambda]d Sqrt[\[Xi]^2 + \[Eta]^2]], {\[Xi], \[Eta]}, {x, y}] |