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024 7 _a10.1088/978-0-7503-3471-6
_2doi
035 _a(CaBNVSL)thg00082506
035 _a(OCoLC)1259501148
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQC381
_b.S568 2021eb
072 7 _aPHJ
_2bicssc
072 7 _aTEC030000
_2bisacsh
082 0 4 _a535.32
_223
100 1 _aSimon, David S.,
_eauthor.
_970408
245 1 0 _aTopology in optics :
_btying light in knots /
_cDavid S. Simon.
250 _aSecond edition.
264 1 _aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
_bIOP Publishing,
_c[2021]
300 _a1 online resource (various pagings) :
_billustrations (some color).
336 _atext
_2rdacontent
337 _aelectronic
_2isbdmedia
338 _aonline resource
_2rdacarrier
490 1 _a[IOP release $release]
490 1 _aIOP ebooks. [2021 collection]
500 _a"Version: 20210205"--Title page verso.
504 _aIncludes bibliographical references.
505 0 _a1. Topology and physics : a historical overview -- 1.1. Introduction : searching for holes in fields of light -- 1.2. Topology and physics
505 8 _a2. 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
505 8 _a3. Characterizing spaces -- 3.1. Loops, holes, and winding numbers -- 3.2. Homotopy classes
505 8 _a4. 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
505 8 _a5. 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
505 8 _a6. 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
505 8 _a7. Knotted and braided vortex lines -- 7.1. Knotted vortex lines -- 7.2. Creating and characterizing knotted vortices -- 7.3. Variations and applications
505 8 _a8. Optical solitons -- 8.1. Solitary waves -- 8.2. Simple example : Sine-Gordon equation -- 8.3. Solitons in optics
505 8 _a9. 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
505 8 _a10. 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
505 8 _a11. 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.
520 3 _aTopology in Optics: Tying light in knots (Second Edition) provides the background needed to understand a broad range of unexpected phenomenon and developments arising from topological effects in optics. Assuming only a background in physics at the advanced undergraduate level, it requires no prior familiarity with topology. Revised and expanded with two new chapters, Topological Photonics and Optical Knots and Links, this will be an invaluable reference for undergraduate and graduate students as well as researchers and engineers in optics and related areas.
521 _aUndergraduate and graduate students.
530 _aAlso available in print.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 _aAfter a bachelor's degree from Ohio State University, David Simon earned doctoral degrees in theoretical physics (Johns Hopkins) and engineering (Boston University), he now works primarily in quantum optics and related areas. He has been the author or coauthor of several books and dozens of research papers on topics ranging from the use of supersymmetry in quantum mechanics to applications of quantum entanglement in optical measurement and cryptography. He is currently Professor of Physics at Stonehill College (Easton, MA), program manager of the photonics certificate program there, and a visiting researcher at Boston University.
588 0 _aTitle from PDF title page (viewed on June 11, 2021).
650 0 _aGeometrical optics.
_969920
650 0 _aQuantum optics
_xMathematics.
_970409
650 0 _aTopology.
_913470
650 7 _aOptical physics.
_2bicssc
_970410
650 7 _a.TECHNOLOGY & ENGINEERING / Optics.
_2bisacsh
_970411
710 2 _aInstitute of Physics (Great Britain),
_epublisher.
_911622
776 0 8 _iPrint version:
_z9780750334693
_z9780750334723
830 0 _aIOP (Series).
_pRelease 21.
_970412
830 0 _aIOP ebooks.
_p2021 collection.
_970413
856 4 0 _uhttps://iopscience.iop.org/book/978-0-7503-3471-6
942 _cEBK
999 _c82834
_d82834