Complex natural resonances for breast tissues with complex morphology

We investigate the Complex Natural Resonances (CNRs) of the malignant breast tissues with complex peripheries. The tissues are modeled as lossy dielectric objects with complex geometries which are expected to have different CNRs compared to those with smooth surfaces. Since the breast tissues are embedded inside inhomogeneous lossy breast medium, it is very important to ensure that a particular extracted CNR corresponds to the target tissue under consideration. Here we discuss techniques that help to ensure that the external mode of CNR of a dielectric target tissue corresponds to its surface geometry. We demonstrate using 3-D FDTD numerical models, that the extracted CNRs of malignant breast tissues vary for different morphologies. It is expected that this knowledge can potentially be useful to differentiate malignant breast tissues from benign and healthy ones.