Bounds on the Elements of the Equivalent Network for Scattering in Waveguides

Larry Spruch, Ralph Bartram

ISBN 10: 1332106226 / ISBN 13: 9781332106226

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book explores scattering in waveguides and the bounds on elements of equivalent circuits that describe this phenomenon. The author shows how to apply variational principles and trial functions to scattering problems, extending their use to multiple, hollow, and composite obstacles that are symmetric about a central axis." The book is grounded in solid mathematical theory, but the material is presented in an accessible way that progressively introduces readers to the concepts. The detailed numerical examples and solved problems will aid comprehension and help readers apply the theory to their own research. This book effectively bridges abstract theory and real-world applications, making it a must-read for students and researchers in waveguide theory, scattering, and electromagnetics. 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.

Seller Inventory # 9781332106226_0

Bibliographic Details

• Title: Bounds on the Elements of the Equivalent Network for Scattering in Waveguides
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332106226
• ISBN 13: 9781332106226
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
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About this title

Synopsis

Sharper bounds for waveguide scattering from dielectric obstacles

Discover a rigorous variational approach to estimate how dielectric obstacles affect waves in a rectangular waveguide. This edition applies a precise trial function and shows how bounds on phase shifts and circuit elements stay tight across obstacle sizes and shapes.

The work demonstrates practical ways to compute bounds using a simple, analytically friendly trial function that matches the obstacle’s symmetry. It covers homogeneous, hollow, and composite obstacles, including several axis-aligned geometries, and explains how to translate the problem into manageable integrals for accurate results. Numerical examples illustrate the method’s versatility, from small to large obstacles, while retaining clear criteria for validity and reliability.

• How a dielectric slab-based trial function yields clear bounds on phase shifts
• Conditions that keep the method valid when obstacles are complex or multi-part
• Explicit formulas for integrals tied to common obstacle shapes (rectangular prisms and cylinders)
• Guidance on using the bounds with different permittivity values and geometric configurations

Ideal for researchers and engineers working with waveguide scattering, numerical methods, and electromagnetic theory who need reliable, analytic-bounded estimates without heavy computation.