This well-received third edition offers fresh perspectives on modern nanoscale problems, where fundamental science, technology, and computer modeling intersect. In addition to traditional computational techniques such as finite-difference schemes, finite element analysis, and Ewald summation, the book introduces the finite-difference calculus of Flexible Local Approximation MEthods (FLAME), which significantly improves numerical accuracy across a wide range of problems.
Applications covered include long-range particle interactions in homogeneous and heterogeneous media, electrostatics of colloidal systems, wave propagation in photonic crystals, photonic band structure, plasmonic field enhancement, metamaterials, backward waves and negative refraction, cloaking, focusing beyond the diffraction limit, and transformation optics. This edition includes a brand-new chapter on topological photonics, along with updated sections on chiral metamaterials and homogenization theories. It has also been extensively revised and expanded to reflect recent developments. Much of the artwork has been significantly upgraded.
Table of Contents:
1 Introduction.- 2 Finite-Difference Schemes.- 3 The Finite Element Method.- 4 Flexible Local Approximation MEthods (FLAME).- 5 Long-Range Interactions in Free Space.- 6 Long-Range Interactions in Heterogeneous Systems.- 7 Finite Difference Time Domain Methods for Electrodynamics.- 8 Applications in Photonics.- 9 Metamaterials and Their Parameters.- 10 Topological Photonics: Layman’s Notes.- 11 Miscellany.- 12 Conclusion: “Plenty of Room at the Bottom” for Computational Methods.
About the Author :
Igor Tsukerman is Professor Emeritus of Electrical and Computer Engineering at the University of Akron, Ohio, USA, where he has been a faculty member since 1995. His research is focused on the simulation of nanoscale systems, applied electromagnetics and photonics, plasmonics, computational methods, homogenization of materials, and problems in topological photonics. He has taught a variety of undergraduate and graduate courses (Basic Electrical Engineering, Signals & Systems, Circuits, Electromagnetic Fields, Digital Signal Processing, Random Signal Analysis, Simulation of Nanoscale Systems, and others). Tsukerman has over 200 refereed publications, has authored the monograph Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves (Springer 2008; 2nd edition 2020), co-edited the book Plasmonics and Plasmonic Metamaterials: Analysis and Applications (World Scientific, 2011), and acted as Editor-in-Chief of the five-volume reference set Electromagnetic Analysis: From Electrostatics to Photonics (World Scientific, 2020).
Before coming to the University of Akron, Tsukerman worked at the Department of Electrical & Computer Engineering, the University of Toronto (1990-1995). A joint project with GE Canada involved electromagnetic field analysis and noise reduction in large electric motors.
Tsukerman's academic degrees are from St. Petersburg Polytechnic in Russia: a combined B.Sc./M.Sc. degree (with honors) in Control Systems (1982) and a Ph.D. in Electrical Engineering (1988).
