We propose a general dynamical theory for Bragg Fresnel multilayer len
ses (BFML) which allows writing fast and accurate numerical codes. Our
theory is valid if one satisfies a given inequality relation between
the lens parameters. We apply this theory to a particular kind of BFML
which has been designed recently for zero order suppression around th
e first focused order. Numerical simulations results are compared to e
xperimental data.