청구기호 |
QC381 .S568 2018eb |
다른형태 서명 |
Applying topology to optics.
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형태사항 |
1 online resource (various pagings) : illustrations (some color).
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총서명 |
[IOP release 5]
IOP concise physics, 2053-2571
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언어 |
English |
일반주기 |
"Version: 20181101"--Title page verso.
"A Morgan & Claypool publication as part of IOP Concise Physics"--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
5. Topological invariants -- 5.1. Euler characteristic -- 5.2. Winding number -- 5.3. Index -- 5.4. Chern numbers -- 5.5. Linking number and other invariants
6. Vortices and corkscrews : singular optics -- 6.1. Optical singularities -- 6.2. Optical angular momentum -- 6.3. Vortices and dislocations -- 6.4. Knotted and braided vortex lines -- 6.5. Polarization singularities -- 6.6. Optical M?obius strips
7. Optical solitons -- 7.1. Solitary waves -- 7.2. Solitons in optics
8. Geometric and topological phases -- 8.1. The Pancharatnam phase -- 8.2. Berry phase in quantum mechanics -- 8.3. Geometric phase in optical fibers -- 8.4. Holonomy interpretation
9. Topological states of matter and light -- 9.1. The quantum hall effect -- 9.2. Topological phases and localized boundary states -- 9.3. Topological photonics.
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주제 |
Geometrical optics.
Topology.
Physics. --bicssc
SCIENCE / Physics / General. --bisacsh
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보유판 및 특별호 저록 |
Print version: 9781643272313
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ISBN |
9781643272344, 9781643272320, 9781643272313 |
기타 표준번호 |
10.1088/2053-2571/aaddd5 |
QR CODE |
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