Geometry and Light : The Science of Invisibility

• Record Nr.: UNINA9911004769203321
• Autore: Leonhardt Ulf
• Pubbl/distr/stampa: Newburyport, : Dover Publications, 2012
• ISBN: 9780486134901; 0486134903; 9781621986140; 1621986144
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (569 p.)
• Collana: Dover Books on Physics
• Altri autori (Persone): PhilbinThomas
• Disciplina: 535.01/516
• Soggetti: Geometry, Differential - Foundations; Geometry; Mathematics; Physical Sciences & Mathematics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: Title Page; Copyright Page; Table of Contents; Chapter 1 - Prologue; FURTHER READING; ACKNOWLEDGMENTS; Chapter 2 - Fermat's principle; 1. LETTERS FROM PIERRE DE FERMAT; 2. VARIATIONAL CALCULUS; 3. NEWTONIAN ANALOGY; 4. HAMILTON'S EQUATIONS; 5. OPTICAL CONFORMAL MAPPING; 6. TRANSMUTATION; 7. SPHERICAL SYMMETRY; 8. TOMOGRAPHY; 9. FROM INVISIBLE SPHERES TO PERFECT LENSES; FURTHER READING; Chapter 3 - Differential geometry; 10. COORDINATE TRANSFORMATIONS; 11. THE METRIC TENSOR; 12. VECTORS AND BASES; 13. ONE-FORMS AND GENERAL TENSORS; 14. VECTOR PRODUCTS AND THE LEVI-CIVITA TENSOR; 15. THE COVARIANT DERIVATIVE OF A VECTOR16. COVARIANT DERIVATIVES OF TENSORS AND OF THE METRIC; 17. DIVERGENCE, CURL AND LAPLACIAN; 18. CURVATURE; 19. GEODESICS; 20. PARALLEL TRANSPORT AND COVARIANT DERIVATIVES; 21. GEODESIC DEVIATION AND THE RIEMANN TENSOR; 22. PARALLEL TRANSPORT AROUND A CLOSED LOOP; 23. CONFORMALLY FLAT SPACES; 24. THE HYPERSPHERE; 25. SPACE-TIME GEOMETRY; FURTHER READING; Chapter 4 - Maxwell's equations; 26. SPATIAL GEOMETRIES AND MEDIA; 27. PLANAR MEDIA; ; 28. TRANSFORMATION MEDIA; 29. ELECTROMAGNETIC WAVES; 30. GEOMETRICAL OPTICS; 31. SPACE-TIME GEOMETRIES AND MEDIAFURTHER READING; Chapter 5 - Geometries and media; 32. SPATIAL TRANSFORMATION MEDIA; 33. PERFECT INVISIBILITY DEVICES; 34. NEGATIVE REFRACTION AND PERFECT LENSES; 35. CLOAKING AT A DISTANCE; 36. PERFECT IMAGING WITH POSITIVE REFRACTION; 37. MOVING MEDIA; 38. OPTICAL AHARONOV-BOHM EFFECT; 39. ANALOGUE OF THE EVENT HORIZON; FURTHER READING; Appendix; Bibliography; Index
• Sommario/riassunto: The science of invisibility combines two of physics' greatest concepts: Einstein's general relativity and Maxwell's principles of electromagnetism. Recent years have witnessed major breakthroughs in the area, and the authors of this volume - Ulf Leonhardt and Thomas Philbin of Scotland's University of St. Andrews - have been active in the transformation of invisibility from fiction into science. Their work on designing invisibility devices is based on modern metamaterials, inspired by Fermat's principle, analogies between mechanics and optics, and the geometry of curved space. Suitable for gra