Part 2: The Physics: From Maxwell to the Forward Model
Chapter 5: Electromagnetic Scattering Theory
Intermediate~180 min
Learning Objectives
- Derive the scalar and vector Helmholtz equations from time-harmonic Maxwell's equations
- Construct free-space Green's functions in 2D and 3D and explain the Sommerfeld radiation condition
- Formulate the Lippmann-Schwinger volume integral equation for electromagnetic scattering
- Derive the Born approximation and state its validity conditions quantitatively
- Compare Born and Rytov approximations and identify when each is appropriate
- Describe iterative methods (BIM, DBIM, CSI) for nonlinear inverse scattering
- Compute the scattering matrix and far-field pattern, and state the optical theorem
Sections
Prerequisites
💬 Discussion
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