Ultrasonic Computed Tomography (UCT) is a full digital imaging technique, which consists in numerically solving the inverse scattering problem associated to the forward scattering problem describing the interaction of ultrasonic waves with inhomogeneous media. For weakly inhomogeneous media such as soft tissues, various approximations of the solution of the forward problem (straight ray approxi...

Firm evidence of the biaxial nematic phase in liquid crystals, not induced by a magnetic or electric field, has been established only recently. The discovery of these biaxially anisotropic liquid crystals has opened up new areas of both fundamental and applied research. The advances in biaxial liquid-crystal-related topics call for a good overview on the propagation of waves through biaxially a...

A theory is presented on dose calculations in inhomogeneous media that takes advantage of fast Fourier transform (FFT) convolution for practical 3-D treatment planning using photon beams. We derived a new correction dose formula which corrects the dose deposited by the Compton rst scattered photons due to the presence of inhomogeneities. We justiied theoretically why the convolution primary dos...

Inhomogeneous media identification is the problem of determining the physical properties of an unknown inhomogeneity from its response to various interrogating modalities. This response, recorded in measured data, comes as a result of the interaction of the inhomogeneity with an exciting physical field. Inhomogeneous media identification is mathematically modeled as the problem of determining t...

We propose a model for statistically inhomogeneous two-phase random media, including functionally graded materials, consisting of inhomogeneous fully penetrable ~Poisson distributed! spheres. This model can be constructed for any specified variation of volume fraction and permits one to represent and evaluate certain n-point correlation functions that statistically characterize the microstructu...

We propose a model for statistically inhomogeneous two-phase random media , including functionally graded materials, consisting of inhomogeneous fully penetrable (Poisson distributed) spheres. This model can be constructed for any speciied variation of volume fraction and permits one to represent and evaluate certain n-point correlation functions that statistically characterize the microstructu...