Systems and methods for detecting anomalies, such as corrosion, on internal surfaces of hollow elongate bodies, such as pipelines. The pipeline is treated as a circular waveguide, and a fast rise time pulse or a spectrum of electromagnetic waves is launched down the waveguide to perform time domain, or equivalent of time domain (e.g., frequency domain), reflectometry. Anomalies in the internal structure of the pipeline cause reflections which can be measured and related to the physical parameters of the pipeline structure and identified to a particular location.