| 청구기호 |
QC381 .S568 2021eb |
| 판사항 |
Second edition.
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| 형태사항 |
1 online resource (various pagings) : illustrations (some color).
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| 총서명 |
[IOP release $release]
IOP ebooks. [2021 collection]
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| 언어 |
English |
| 일반주기 |
"Version: 20210205"--Title page verso.
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| 서지주기 |
Includes bibliographical references.
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| 내용 |
1. Topology and physics : a historical overview -- 1.1. Introduction : searching for holes in fields of light -- 1.2. Topology and physics
2. Electromagnetism and optics -- 2.1. Electromagnetic fields -- 2.2. Electromagnetic potentials and gauge invariance -- 2.3. Linear and nonlinear optical materials -- 2.4. Polarization and the Poincar?e sphere
3. Characterizing spaces -- 3.1. Loops, holes, and winding numbers -- 3.2. Homotopy classes
4. Fiber bundles, curvature, and holonomy -- 4.1. Manifolds -- 4.2. Vectors and forms -- 4.3. Curvature -- 4.4. Connections and covariant derivatives -- 4.5. Fiber bundles -- 4.6. Connection and curvature in electromagnetism and optics -- 4.7. The Hopf fibration and polarization
5. Topological invariants -- 5.1. Euler characteristic -- 5.2. Winding number -- 5.3. Index of zero points of vector fields -- 5.4. Chern numbers -- 5.5. Pontrjagin index -- 5.6. Hopf index -- 5.7. Linking number and other invariants -- 5.8. Atiyah-Singer index theorem
6. Vortices and corkscrews : singular optics -- 6.1. Optical singularities -- 6.2. Optical angular momentum -- 6.3. Vortices and dislocations -- 6.4. Polarization singularities -- 6.5. Optical M?obius strips
7. Knotted and braided vortex lines -- 7.1. Knotted vortex lines -- 7.2. Creating and characterizing knotted vortices -- 7.3. Variations and applications
8. Optical solitons -- 8.1. Solitary waves -- 8.2. Simple example : Sine-Gordon equation -- 8.3. Solitons in optics
9. Geometric and topological phases -- 9.1. The Pancharatnam phase -- 9.2. Berry phase in quantum mechanics -- 9.3. Geometric phase in optical fibers -- 9.4. Holonomy interpretation
10. Topological states of matter -- 10.1. The quantum Hall effect -- 10.2. One-dimensional example : the SSH model -- 10.3. Topological phases and localized boundary states -- 10.4. The role of discrete symmetries -- 10.5. Varieties of topological insulators and related systems -- 10.6. Dirac, Majorana, and Weyl points
11. Topological photonics -- 11.1. Overview : topological effects in photonic systems -- 11.2. Photonic walks -- 11.3. Photonic crystals, waveguides, and coupled resonant cavities -- 11.4. Topologically protected waveguides and topological lasers -- 11.5. Topological optical computing.
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| 주제 |
Geometrical optics.
Quantum optics --Mathematics.
Topology.
Optical physics. --bicssc
.TECHNOLOGY & ENGINEERING / Optics. --bisacsh
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| 보유판 및 특별호 저록 |
Print version: 9780750334693 9780750334723
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| ISBN |
9780750334716, 9780750334709, 9780750334693, 9780750334723 |
| 기타 표준번호 |
10.1088/978-0-7503-3471-6 |
| QR CODE |
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