Computational Methods for Nanoscale Applications

Igor Tsukerman038774777X, 9780387747774

Computational Methods for Nanoscale Applications: Particles, Plasmons and Waves presents new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. This book describes well-known computational techniques such as finite-difference schemes, finite element analysis and Ewald summation, as well as a new finite-difference calculus of Flexible Local Approximation MEthods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems. Application areas in the book include long-range particle interactions in homogeneous and heterogeneous media, electrostatics of colloidal systems, wave propagation in photonic crystals, photonic band structure, plasmon field enhancement, and metamaterials with backward waves and negative refraction.

Computational Methods for Nanoscale Applications is accessible to specialists and graduate students in diverse areas of nanoscale science and technology, including physics, engineering, chemistry, and applied mathematics. In addition, several advanced topics will be of particular interest to the expert reader.

Key Features:

Utilizes a two-tiered style of exposition with intuitive explanation of key principles in the first tier and further technical details in the second

Bridges the gap between physics and engineering and computer science

Presents fundamentals and applications of computational methods, electromagnetic theory, colloidal systems and photonic structures

Covers “hot topics” in photonics, plasmonics, and metamaterials.

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Table of contents :
Computational Methods for Nanoscale Applications
……Page 1
Preface……Page 7
Contents……Page 11
1.
Introduction……Page 17
2.
Finite-Difference Schemes……Page 27
3.
The Finite Element Method……Page 84
4.
Flexible Local Approximation Methods……Page 203
5.
Long-Range Interactionsin Free Space……Page 253
6. Long-Range Interactions in
Heterogeneous Systems……Page 294
7. Applications in Nano-Photonics
……Page 362
8. Conclusion
……Page 500
References
……Page 502
Index……Page 536