Photonic Crystals: Mathematical Analysis and Numerical Approximation
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"Photonic Crystals: Mathematical Analysis and Numerical Approximation" by Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
This book concentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more different dielectrics or metals, and which exhibit a spatially periodic structure, typically at the length scale of hundred nanometers. In the mathematical analysis and the numerical simulation of the partial differential equations describing nanostructures, several mathematical difficulties arise, e. g., the appropriate treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of these problems. This volume collects a series of lectures which introduce into the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.
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"Photonic Crystals: Mathematical Analysis and Numerical Approximation" by Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Core Mathematics
Author: Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
This book concentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more different dielectrics or metals, and which exhibit a spatially periodic structure, typically at the length scale of hundred nanometers. In the mathematical analysis and the numerical simulation of the partial differential equations describing nanostructures, several mathematical difficulties arise, e. g., the appropriate treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of these problems. This volume collects a series of lectures which introduce into the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.
| Author | Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners |
| Publisher | Birkhäuser |
| Published | 2011-05-18 |
| ISBN-13 | 9783034801126 |
| Binding | Paperback |
| Pages | 162 |
| Language | English |
| Subjects | Mathematics |
| Topic | Core Mathematics |
| Series | Oberwolfach Seminars |
Format: Paperback
Length: 162 pages
Language: English
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