Higher order (nonlinear) diffraction tomography: Inversion of the Rytov series

Nonlinear tomographic reconstruction algorithms are developed for inversion of data measured in scattering experiments in which the complex phase of t he wavefields is modeled by an arbitrarily large (possibly infinite) number of terms in the Rytov series. The algorithms attain the form of a Volterra series of nonlinear operators, with the usual filtered backpropagation alg orithm of Diffraction Tomography as the leading linear term. A computer sim ulation study is included to illustrate the performance of the algorithms f or the case of scattering objects with cylindrical symmetry.