The book offers a rigorous treatment of one-dimensional scattering problems, showing how a discrete distribution of scatterers can be well approximated by a continuous distribution. It covers both fixed configurations and ensembles where scatterer positions are random, with conditions that depend only on basic problem parameters such as the number of scatterers, the wavelength, and the impedance ratio. The discussion connects theory to practical setups like transmission lines and mechanical strings, illustrating how artificial dielectrics can arise from many small elements.

You'll learn how to assess approximation accuracy, understand when averaging over configurations matters, and see how classical procedures are justified in this one-dimensional setting. The material emphasizes practical implications and avoids overreliance on explicit solutions, making it useful for applied work in optics, acoustics, and electrical engineering.

How a discrete scatterer model can be matched to a continuum description
Conditions that ensure small error in approximate solutions
Connections between single configuration problems and statistical (random) cases
Applications to transmission lines and one-dimensional wave guides

Ideal for readers of applied physics and engineering who want solid foundations and practical guidance on wave scattering in one dimension.

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