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}]
It would be better to post your problem in a “spikey” window (MCode). Copying it as text can result in terms being lost.