Optical Waveguide Theory Mathematical Models, Spectral Theory and Numerical Analysis

This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric w...

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Bibliographic Details
Main Authors: Shestopalov, Yury, Smirnov, Yury (Author), Smolkin, Eugene (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2022, 2022
Edition:1st ed. 2022
Series:Springer Series in Optical Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Optical Waveguide Theory  |h Elektronische Ressource  |b Mathematical Models, Spectral Theory and Numerical Analysis  |c by Yury Shestopalov, Yury Smirnov, Eugene Smolkin 
250 |a 1st ed. 2022 
260 |a Singapore  |b Springer Nature Singapore  |c 2022, 2022 
300 |a X, 260 p. 27 illus., 21 illus. in color  |b online resource 
505 0 |a Introduction -- Some Concepts and Definitions of The Set Theory, Function Theory, and Operator Theory -- Shielded Regular Waveguides of Arbitrary Cross-Section.-Planar Waveguides -- Waveguides of Circular Cross-Section.-Open Regular Waveguides of Arbitrary Cross-Section -- Conclusion 
653 |a Electrodynamics 
653 |a Electrical and Electronic Engineering 
653 |a Electrical engineering 
653 |a Computational Mathematics and Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Wave theory of light 
653 |a Classical Electrodynamics 
653 |a Geometrical optics 
653 |a Metamaterials 
653 |a Mathematical physics 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Classical Optics, Geometric and Wave optics 
700 1 |a Smirnov, Yury  |e [author] 
700 1 |a Smolkin, Eugene  |e [author] 
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520 |a This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to abroad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics