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024 7 _a10.1088/978-0-7503-4982-6
_2doi
035 _a(CaBNVSL)thg00083827
035 _a(OCoLC)1420080837
040 _aCaBNVSL
_beng
_erda
_cCaBNVSL
_dCaBNVSL
050 4 _aQC20.7.S54
_bS467 2023eb
072 7 _aPHJ
_2bicssc
072 7 _aSCI053000
_2bisacsh
100 1 _aSenthilkumaran, Paramasivam,
_eauthor.
_996580
245 1 0 _aSingularities in physics and engineering /
_cParamasivam Senthilkumaran.
250 _aSecond edition.
264 1 _aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
_bIOP Publishing,
_c[2023]
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 series in advances in optics, photonics and optoelectronics
490 1 _aIOP ebooks. [2023 collection]
500 _a"Version: 20240101"--Title page verso.
504 _aIncludes bibliographical references.
505 0 _a1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities
505 8 _a2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. Amplitude and phase distribution of an optical vortex beam -- 2.4. Topological charge -- 2.5. Phase contours and zero crossings -- 2.6. Phase gradients of an optical vortex beam -- 2.7. Critical points -- 2.8. Zero crossings and bifurcation lines -- 2.9. Charge, order and index -- 2.10. Sign rules -- 2.11. Disintegrations or explosions -- 2.12. Charge conservation -- 2.13. Index conservation -- 2.14. Limitation on vortex density -- 2.15. Threads of darkness -- 2.16. Berry's paradox -- 2.17. Manifolds and trajectories -- 2.18. Links and knots -- 2.19. Different types of phase defects
505 8 _a3. Generation and detection methods -- 3.1. Introduction -- 3.2. Generation -- 3.3. Detection
505 8 _a4. Propagation characteristics -- 4.1. Introduction -- 4.2. Wave equations and solutions -- 4.3. Slowly varying envelope approximation : paraxial Helmholtz equation -- 4.4. Gouy phase -- 4.5. Divergence of singular beams -- 4.6. Near-core vortex structure and propagation -- 4.7. Propagation dynamics of optical phase singularities -- 4.8. Propagation of vortices in non-linear media
505 8 _a5. Internal energy flows -- 5.1. Energy flow -- 5.2. Internal energy flows -- 5.3. Visualizing internal energy flow -- 5.4. Focusing of singular beams : effect of aberrations -- 5.5. Experimental detection -- 5.6. Energy circulations in diffraction patterns
505 8 _a6. Vortices in computational optics -- 6.1. Introduction -- 6.2. Diffuse illumination in holography -- 6.3. Synthesized diffusers -- 6.4. Phase synthesis in computer-generated holograms -- 6.5. Stagnation problem in iterative Fourier transform algorithms -- 6.6. Solution to the speckle problem -- 6.7. Phase unwrapping in the presence of vortices -- 6.8. Non-Bryngdahl transforms using branch points -- 6.9. Diffraction of singular beams -- 6.10. Phase retrieval
505 8 _a7. Angular momentum of light -- 7.1. Introduction -- 7.2. Linear momentum -- 7.3. Angular momentum -- 7.4. Orbital and spin angular momentum of light -- 7.5. Intrinsic and extrinsic angular momentum
505 8 _a8. Applications -- 8.1. Metrology -- 8.2. Collimation testing -- 8.3. Spiral interferometry -- 8.4. Spatial filtering -- 8.5. Focal plane intensity manipulation -- 8.6. Stimulated emission depletion microscopy -- 8.7. Optical trapping and tweezers -- 8.8. Optically driven micro-motors -- 8.9. Communications -- 8.10. Phase-retrieval methods
505 8 _a9. Polarization singularities -- 9.1. Polarization of light -- 9.2. Stokes parameters and Poincar�e sphere representation -- 9.3. Stokes fields -- 9.4. Ellipse field singularities -- 9.5. Vector field singularities -- 9.6. Stokes phase -- 9.7. Topological features of polarization singularities -- 9.8. Angular momentum in polarization singularities -- 9.9. Generation -- 9.10. Detection -- 9.11. Inversion and conversion methods -- 9.12. Polarization singularity distributions -- 9.13. Optical M�obius strips -- 9.14. Applications
505 8 _a10. Stokes fields and singularities -- 10.1. Introduction -- 10.2. Polarization optics -- 10.3. Stokes parameters -- 10.4. Stokes fields -- 10.5. Discussion on Stokes formalism -- 10.6. Stokes singularities -- 10.7. Stokes space -- 10.8. Topological constructs -- 10.9. Degeneracy -- 10.10. Generation of Stokes singularities -- 10.11. Detection of Stokes singularities.
520 3 _aSingularities are ubiquitous in nature and generate high levels of interest and activity among scientists. At a singularity, a parameter of interest becomes indeterminate, a single point at which a mathematical quantity is not defined or not 'well behaved'. In optics, a singularity refers to a point at which some parameter describing the electromagnetic field becomes indeterminate. Even though at the singular point, things are not well defined, the neighbourhood points of a singularity are characterized by very large gradients and hence there is significant scope for new discoveries. Recent advances have gathered pace, and interest continues to grow in this field, and with its applications.Part of IOP Series in Advances in Optics, Photonics and Optoelectronics.
521 _aPostgraduate students and research laboratories.
530 _aAlso available in print.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 _aParamasivam Senthilkumaran is currently working as a professor in the Physics Department at the Indian Institute of Technology Delhi. He is also heading Optics and Photonics Centre at Indian Institute of Technology Delhi. He was a senior project officer and received his PhD from the Indian Institute of Technology Madras in 1995. He was a recipient of the Young Scientist Award from the Indian National Science Academy, New Delhi, and Alexander von Humboldt fellowship, Germany, in 1997 and 2001 respectively.Senthilkumaran has been teaching undergraduate and postgraduate courses on a variety of subjects including basic physics, electromagnetic theory, optics and lasers, Fourier optics and holography. His research interests include optical beam shaping, optical phase singularities, Berry and Pancharatnam topological phases, fiber optics, holography, non-destructive testing techniques, shear interferometry, Talbot interferometry, speckle metrology and non-linear optics. He has authored/coauthored more than 150 research publications, has more than 15 years of experience researching singularities in optics, and has supervised sixteen doctoral theses.
588 0 _aTitle from PDF title page (viewed on February 1, 2024).
650 0 _aSingularities (Mathematics)
_996581
650 0 _aOptics
_xMathematics.
_996582
650 0 _aMathematical physics.
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xMathematical models.
_960401
650 7 _aOptical physics.
_2bicssc
650 7 _aSCIENCE / Physics / Optics & Light.
_2bisacsh
_996410
710 2 _aInstitute of Physics (Great Britain),
_epublisher.
_917702
776 0 8 _iPrint version:
_z9780750349802
_z9780750349833
830 0 _aIOP (Series).
_pRelease 23.
830 0 _aIOP series in advances in optics, photonics and optoelectronics.
_996583
830 0 _aIOP ebooks.
_p2023 collection.
856 4 0 _uhttps://iopscience.iop.org/book/mono/978-0-7503-4982-6
942 _cE-Books
999 _c68382
_d68382