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Optical Waveguide Theory = Mathematical Models, Spectral Theory and Numerical Analysis /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Optical Waveguide Theory/ by Yury Shestopalov, Yury Smirnov, Eugene Smolkin.
Reminder of title:
Mathematical Models, Spectral Theory and Numerical Analysis /
Author:
Shestopalov, Yury.
other author:
Smirnov, Yury.
Description:
X, 260 p. 27 illus., 21 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Geometrical optics. -
Online resource:
https://doi.org/10.1007/978-981-19-0584-1
ISBN:
9789811905841
Optical Waveguide Theory = Mathematical Models, Spectral Theory and Numerical Analysis /
Shestopalov, Yury.
Optical Waveguide Theory
Mathematical Models, Spectral Theory and Numerical Analysis /[electronic resource] :by Yury Shestopalov, Yury Smirnov, Eugene Smolkin. - 1st ed. 2022. - X, 260 p. 27 illus., 21 illus. in color.online resource. - Springer Series in Optical Sciences,2371556-1534 ;. - Springer Series in Optical Sciences,93.
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.
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.
ISBN: 9789811905841
Standard No.: 10.1007/978-981-19-0584-1doiSubjects--Topical Terms:
720801
Geometrical optics.
LC Class. No.: QC380-389
Dewey Class. No.: 535.32
Optical Waveguide Theory = Mathematical Models, Spectral Theory and Numerical Analysis /
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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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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.
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