270 likes | 474 Views
23 Electromagnetic Waves. Principle. Faraday’s law: time-varying B -field creates E -field ( emf ) Maxwell: time-varying E -field generates B -field ( emf ). James C Maxwell British Scientist (1831 – 1879). EM waves were PREDICTED by J.C. Maxwell in 1865. Light is part of the EM wave
E N D
Principle Faraday’s law: time-varying B-field creates E-field (emf) Maxwell: time-varying E-field generates B-field (emf) James C Maxwell British Scientist (1831 – 1879) EM waves were PREDICTED by J.C. Maxwell in 1865. Light is part of the EM wave Heitz first detected the EM waves in 1887 after Maxwell died (1879). Another great prediction(s) was made by Einstein from his General Relativity. Heinrich R Hertz German physicist (1857 –1894)
Properties of EM Waves • Transverse Wave; Both E & B perpendicular to propagation, k. E, B and k follow the right-hand rule • EM waves can be created and travel in vacuum (no medium required) with unchanging speed c • E & B are in phase and E= cB • (in vacuum) v = lf
Energy in EM Waves S: energy per unit area per unit time or power per unit area and the average value, Sav called intensity, I.
Wave Fronts Geometric optics & Physical Optics Rays & Waves
Index of Refraction & Snell’s Law Normal Incident qa qr Reflection na nb Angles respect to normal line All the rays in same plane Refraction qb
Value of Refractive Index Air 1.0003
Total Internal Reflection Critical angle: when qb = 90o, qa = qc = sin-1(na/nb) 90 qc
Polarization Linear polarization Circular polarization (left)
Reflection & Refraction Total Internal Reflection:
Reflection & Refraction: Animations Animation of Refraction (rays) Animation of Refraction (waves)
Test III Score Distribution Your grade =points/16x100% Number of Students Correct Points