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.
Ideal for readers of advanced physics and engineering who want deeper insight into wave propagation and dielectrics.
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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book explores the design of dielectric media that enable the transmission of electromagnetic radiation without reflection, opening up new possibilities in fields like optics and telecommunications. The author presents a novel method for constructing such media, offering a solution to a long-standing problem in electromagnetic theory. By exploring the interplay between wave propagation and the properties of dielectrics, the book provides valuable insights into the fundamental principles governing the interaction of electromagnetic radiation with matter. Through its rigorous mathematical framework and clear explanations, this book serves as both a valuable reference for researchers and a thought-provoking exploration for students in electromagnetism and optics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330164235_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330164235
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330164235
Quantity: 15 available