The outline of the ten lectures to be delivered by Prof. Cheney is as follows:

Lecture 1: Introduction to radar. The advantages of radar. A sketch of radar history. Rudimentary imaging: high range-resolution (HRR) imaging, real-aperture imaging, and plan-position indicator. Introduction to SAR (Synthetic Aperture Radar). Applications of SAR. Introduction to Maxwell's equations. Derivation of the scalar wave equation. Radar frequency bands. Decibels. Mathematical model for stepped-frequency systems.

Lecture 2: Introduction to pulsed systems. The mathematics of I/Q (in-phase quadrature) demodulation. Filters. The mathematics of a simple one-dimensional model of radar scattering. Derivation of the Doppler scale factor and Doppler shift. I/Q demodulation of the signal from a moving scatterer.

Lecture 3: Correlation reception, pulse compression, and the derivation of the matched filter. Barker codes. The point spread function for fixed targets. HRR imaging. Chirps. Matched filter for a moving target.

Lecture 4: The radar ambiguity function and its properties. Doppler resolution. Range resolution. Examples of different waveforms and their ambiguity functions. The intuition behind range-Doppler imaging. The intuition behind SAR. Motivation for development of a full 3-D model.

Lecture 5: Basic facts about the 3-D wave equation. Introduction to scattering theory. The Born approximation. A model for the scattered field. The effect of matched filtering. The far-field expansion.

Lecture 6: Introduction to ISAR (Inverse Synthetic Aperture Radar). Range alignment. The mathematics of ISAR. Issues of numerical implementation. Description of the AFRL (Air Force Research Laboratory) backhoe data set and instructions for obtaining it. ISAR resolution. The connection to the Radon transform. Outline of inversion of the Radon transform. Open problems in ISAR.

Lecture 7: Examples of antennas. Vector and scalar electromagnetic potentials. Gauges. The mathematics of radiation from a current density. Example: uniform current density on a line. Example: uniform current density on a rectangle. Main features of an antenna beam. Phased arrays.

Lecture 8: Real-aperture imaging versus synthetic-aperture imaging. Array antennas and grating lobes. The far-field expansion. A comparison of a scalar antenna model with the full vector model. Reception by an antenna. Open problems related to antenna design.

Lecture 9: The incident wave for SAR. The mathematical model for SAR data. Spotlight SAR, connection with ISAR. Introduction to stripmap SAR. Interpretation of the data model in terms of a Fourier Integral Operator. Construction of an approximate inverse. The stationary phase theorem. Analysis of the SAR point spread function. Shortcomings of the continuum model. Open problems related to SAR.

Lecture 10: SAR resolution. Wavefront sets. Examples of wavefront sets. The pseudolocal property of the SAR point spread function. Analysis of SAR artifacts. Understanding SAR images. Examples. Outline of the state of the art: motion compensation, MTI (Moving Target Indicator), polarimetry, interferometry. The mathematics of SAR interferometry. Current research and open problems.