Optical waveguide theory : mathematical models, spectral theory and numerical analysis / Yury Shestopalov, Yury Smirnov, Eugene Smolkin.

Format:

Book

Author/Creator:

Shestopalov, Yury, author.

Smirnov, Yury, author.

Smolkin, Eugene, author.

Series:

Springer series in optical sciences ; 1556-1534 v. 237.

Springer series in optical sciences, 1556-1534 ; volume 237

Language:

English

Subjects (All):

Optical wave guides.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (chiefly color).

Place of Publication:

Singapore : Springer, [2022]

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.

Contents:

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.

Notes:

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed April 5, 2022).

ISBN:

9789811905841

9811905843

OCLC:

1306275131

Access Restriction:

Restricted for use by site license.