Synopsis
Uncover how data can reveal the hidden details of a system.
This work surveys the theory and methods behind inverse scattering, showing how researchers reconstruct physical conditions from measured information like reflection and transmission data.
Designed for readers with a taste for applied mathematics and physics, the book traces the progress from foundational ideas to concrete solution techniques. It explains the connections between scattering data, spectral theory, and the reconstruction of potential functions, with clear steps and explicit examples that illuminate the problem’s structure.
- How reflectivity and transmission relate to the underlying physical model
- The role of integral equations in rebuilding a system’s properties
- Conditions that guarantee unique solutions and when synthesis is possible
- Explicit methods that connect theory to practical applications in optics, electronics, and waveguides
Ideal for readers of mathematical physics and applied analysis who want a solid, methodical look at inverse problems and their real-world uses.
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