Singularities in physics and engineering : properties, methods, and applications /: properties, methods, and applications. ([2018])

• Record Type: Book
• Further Information: Note: Paramasivam Senthilkumaran.
• Authors: Senthilkumaran, Paramasivam
• Other Names: Institute of Physics (Great Britain), publisher.
• Contents: 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. Diffused illumination in holography -- 6.3. Synthesized diffusers -- 6.4. Phase synthesis in computer generated holograms -- 6.5. Stagnation problem in IFTA -- 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 momenta 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. STED 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 Poincare 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. Applications.
• Publisher Details: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
• Publication Date: 2018
• Extent: 1 PDF (various pagings), illustrations (some color)
• Subjects: 530.1/5; Singularities (Mathematics); Optics -- Mathematics; Mathematical physics; Engineering mathematics; Engineering -- Mathematical models; Optical physics; SCIENCE / Physics / Optics & Light
• Languages: English
• ISBNs: 9780750316989; 0750316985; 9780750316972; 0750316977
• Related ISBNs: 9780750316965
• Notes: Note: Includes bibliographical references.; Note: Title from PDF title page (viewed on December 14, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.