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Optical waveguide theory : mathematical models, spectral theory and numerical analysis / Yury Shestopalov, Yury Smirnov, Eugene Smolkin.
Shestopalov, Yury, author.; Smirnov, Yury, author.; Smolkin, Eugene, author.
2022
TK8305 .S44 2022
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Title
Optical waveguide theory : mathematical models, spectral theory and numerical analysis / Yury Shestopalov, Yury Smirnov, Eugene Smolkin.
Author
Shestopalov, Yury, author.
ISBN
9789811905841 (electronic bk.)
9811905843 (electronic bk.)
9789811905834
9811905835
DOI
https://doi.org/10.1007/978-981-19-0584-1
Published
Singapore : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations (chiefly color).
Item Number
10.1007/978-981-19-0584-1 doi
Call Number
TK8305 .S44 2022
Dewey Decimal Classification
621.36/9
Summary
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 a broad 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.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 5, 2022).
Added Author
Smirnov, Yury, author.
Smolkin, Eugene, author.
Series
Springer series in optical sciences ; v. 237. 1556-1534
Available in Other Form
Print version: 9789811905834
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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.

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