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Anisotropy of Metamaterials

Beyond Conventional Paradigms

Vladimir Mityushev Tatjana Gric Radoslaw Kycia Natalia Rylko

$263

Hardback

Forthcoming
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English
CRC Press
29 April 2025
Anisotropy of Metamaterials: Beyond Conventional Paradigms provides a comprehensive introduction to the mathematical modeling of metamaterials based on the macroscopic complex-valued permittivity tensor of dispersed random composites. Key topics include physical and mathematical theory, computer simulations, constructive homogenization, classification of dispersed random composites and their applications in cancer recognition. Image processing and machine learning algorithms are used. The book also discusses the precision of various effective medium approximations, including Bruggeman and Maxwell-Garnett formulas. New analytical, approximate and exact formulas and bounds for the macroscopic permittivity and piezoelectric constants of composites are derived. This book is a valuable tool for academics and professionals in photonics, presenting sustainable materials for sensing, health diagnostics and cancer detection methodologies.

Key features:

Offers key insights into the current trends and techniques in the study of the macroscopic properties of metamaterials, aiming at stimulating new avenues of research Presents examples of image analysis, the primary tool for non-destructive metamaterials analysis Discusses the applications of Machine Learning to image processing, illustrated using specific code in Python programming language
By:   , , ,
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 234mm,  Width: 156mm, 
Weight:   453g
ISBN:   9781032618005
ISBN 10:   1032618000
Series:   Series in Optics and Optoelectronics
Pages:   272
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Forthcoming
Preface. About the authors. Section 1: Physics of metamaterials. Chapter 1: Electromagnetics of metamaterials. Section 2: Mathematical model of complex permittivity in composites. Chapter 2: Generalized alternating method of Schwarz. Chapter 3: Effective Medium Approximation. Chapter 4: Circular and elliptic inclusions. Section 3: Macroscopic properties of 2D piezoelectric composites. Chapter 5: Fibrous magneto-electro-elastic composites. Section 4: Image analysis and machine learning. Chapter 6: Digital Image Processing and basic granulometry. Chapter 7: Cancer cells detection using Neural Networks. Chapter 8: Applications. Appendix A: Elliptic functions. References. Index.

Vladimir Mityushev is a professor at the Cracow University of Technology and a leader of the research group at www.materialica.plus. His expertise lies in the fields of mathematical modeling, computer simulations, porous media, permeability, diffusion, effective properties of composites with deterministic and random structures, representative volume elements, biomathematics, bioinformatics and industrial mathematics. Professor Tatjana Gric has been engaged in the investigation of waveguide devices (waveguide modulators, filters, etc.), namely in proposing their electrodynamical analysis, since 2009. Another major goal of her studies is plasmonics as the examination of the interaction between electromagnetic field and free electrons in a metal. During the past few years, she has been working on the investigation of nanostructured composites and their fascinating properties. She has authored and co-authored over 70 articles in refereed journals and conference proceedings. She also holds a 1LT patent. Radosław Kycia is Head of the Computer Science Division at the Faculty of Computers Science and Telecommunications at the Tadeusz Kościuszko Cracow University of Technology. He specializes in multidisciplinary research involving computer science, physics and mathematics. Currently, he is interested in machine learning and data analysis. Natalia Rylko is an Associate Professor at the Cracow University of Technology. Her academic and scientific endeavors revolve around interdisciplinary research encompassing physics, material science, computer simulations and machine learning. Her primary field lies in the study of the effective properties of composites and their wide-ranging applications within the field of material sciences.

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