Reflectionless Transmission Through Dielectrics and Scattering Potentials (Classic Reprint) - Hardcover
Synopsis
Discover how a carefully designed dielectric can let a wave pass through with no reflection. This book shows the math and methods to build such materials and understand their limits.
Beginning with the wave equation in a plane-stratified medium, the text builds an infinite class of dielectric profiles that are transparent in a restricted sense, meaning an incident wave enters without reflection at a fixed frequency and polarization. It links these profiles to a negative, exponentially vanishing potential V(x) and explains how each profile yields an exact, elementary solution. The work also reveals a transformation that maps these dielectric problems to transmission-line models, where matching occurs at all frequencies.
Along the way, the book discusses equivalences to the one-dimensional Schrödinger equation, identifies discrete eigenvalues, and compares the approach to known results in scattering theory. It provides a practical framework for constructing media with guaranteed transmission properties and connects the theory to broader ideas in wave propagation and engineering design.
- See how the Schrödinger equation analogy helps describe wave transmission through layered media.
- Learn about a 2N-parameter family of profiles that produce reflectionless transmission.
- Understand the behavior of the transmission coefficient and why its magnitude can be unity.
- Explore the transformation to transmission-line models and potential engineering applications.
Ideal for readers of advanced physics and engineering who want deeper insight into wave propagation and dielectrics.
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