TY  - BOOK
AU  - Senthilkumaran,Paramasivam
ED  - Institute of Physics (Great Britain),
TI  - Singularities in physics and engineering
T2  - [IOP release $release]
SN  - 9780750349826
AV  - QC20.7.S54 S467 2023eb
PY  - 2023///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Singularities (Mathematics)
KW  - Optics
KW  - Mathematics
KW  - Mathematical physics
KW  - Engineering mathematics
KW  - Engineering
KW  - Mathematical models
KW  - Optical physics
KW  - bicssc
KW  - SCIENCE / Physics / Optics & Light
KW  - bisacsh
N1  - "Version: 20240101"--Title page verso; Includes bibliographical references; 1. 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; 2. 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; 3. Generation and detection methods -- 3.1. Introduction -- 3.2. Generation -- 3.3. Detection; 4. 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; 5. 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; 6. 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; 7. 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; 8. 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; 9. 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; 10. 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; Postgraduate students and research laboratories; Also available in print
N2  - Singularities 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-4982-6
ER  -