Theory and Approach of Information Retrievals from Electromagnetic Scattering and Remote Sensing presents some new progress on the theoretical and numerical approaches for information retrieval of the remote sensing via electromagnetic scattering and emission. It covers the vector radiative transfer theory for inhomogeneous scatter media, polarimetric scattering theory for the synthetic aperture radar (SAR) imagery and some innovative applications, new approach and data validation for current space-borne remote sensing programs, fast computational method and numerical simulation for bistatic scattering of randomly rough surface with a target presence, especially at low grazing angle. Some inverse problems in radiative transfer and inverse scattering are also discussed. Novel electromagnetics of complex media are also presented. Theory and Approach of Information Retrievals from Electromagnetic Scattering and Remote Sensing is intended as a textbook for graduate students and a reference book for scientists to see the most recent progress in the authors research laboratory.