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Inverse scattering problems without the phase information arise in imaging ofnanostructures whose sizes are hundreds of nanometers as well as in imaging ofbiological cells. The governing equation is the 3-d generalized Helmholtzequation with the unknown coefficient, which represents the spatiallydistributed dielectric constant. It is assumed that only the modulus of thecomplex valued wave field is measured on a frequency range. The phase is notmeasured. Two rigorous numerical methods are tested and their performances arecompared for realistic ranges of parameters.

Nanostructures imaging via numerical solution of a 3-d inverse scattering problem without the phase information