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Yury Shestopalov,Yury Smirnov,Eugene Smolkin

Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis

Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis

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  • More about Optical Waveguide Theory: Mathematical Models, Spectral Theory and Numerical Analysis


The book discusses advanced mathematical approaches and numerical methods in electromagnetic field theory and wave propagation, applying them to analyze waves in various guiding structures. It covers waveguide families, spectral properties, and numerical methods and is beneficial to a wide range of readers.

Format: Paperback / softback
Length: 260 pages
Publication date: 02 April 2023
Publisher: Springer Verlag, Singapore


This comprehensive text delves into the most advanced mathematical approaches and numerical methods in electromagnetic field theory and wave propagation. It presents a detailed application of developed techniques to analyze waves in a wide range of guiding structures, including shielded and open metal-dielectric waveguides with arbitrary cross-sections, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media, and layered media with absorption. Additionally, it explores the spectral properties of wave propagation for these waveguide families and discusses the relevant mathematical techniques, such as spectral theory of non-self-adjoint operator-valued functions, including rigorous proofs of the existence of various types of waves. Furthermore, the book provides in-depth descriptions of numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures.

The book is of immense value to a diverse audience, spanning from pure and applied mathematicians specializing in electromagnetic field theory to researchers and engineers with a solid background in mathematics. Moreover, it serves as an excellent supplementary text for upper-level undergraduate students eager to delve into more advanced topics of mathematical methods in electromagnetics. By presenting a comprehensive and rigorous treatment of the subject matter, this text equips readers with the necessary tools and knowledge to advance their understanding of electromagnetic field theory and wave propagation.

Weight: 421g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811905865
Edition number: 1st ed. 2022

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