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开放式科学知识专著 · 拓扑光子学Open Scientific Knowledge Book · Topological Photonics

Topological Photonics from Maxwell's Equations

从 Maxwell 方程出发组织拓扑光子学的基础框架，覆盖光子能带、Berry 曲率、Chern 数、边界态和体边对应，并延伸到 Floquet、Weyl 与非线性主题。 A Maxwell-equation-first introduction to topological photonics, covering photonic bands, Berry curvature, Chern numbers, edge states, and bulk-boundary correspondence, with extensions to Floquet, Weyl, and nonlinear topics.

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章节索引Table of Contents

目录Table of Contents

  1. P
    Preface
  2. N
    Notation and Conventions
  3. 01
    The Problem of Robust Light
  4. 02
    Maxwell Equations as Dynamics
  5. 03
    Normal Modes and the Electromagnetic Inner Product
  6. 04
    Periodic Media and Photonic Bands
  7. 05
    Geometry of Maxwell Bands
  8. 06
    Dirac Cones of Light
  9. 07
    Breaking Time Reversal
  10. 08
    The One-Way Interface
  11. 09
    A Microwave Topological Crystal
  12. 10
    Computing Chern Numbers
  13. 11
    Reciprocal Designs and Pseudospin
  14. 12
    Valleys and Lattices
  15. 13
    Floquet Light
  16. 14
    One Dimension
  17. 15
    Weyl Points of Maxwell Bands
  18. 16
    Synthetic Dimensions
  19. 17
    Loss, Gain, and Non-Hermitian Topology
  20. 18
    Nonlinear and Quantum Frontiers
  21. A
    Vector Identities and Functional Analysis
  22. B
    Differential Forms and Chern Classes
  23. C
    Numerical Recipes
  24. D
    Material Tensors and Sign Conventions