Powerpoint Templates Page 1 Powerpoint Templates Electromagnetic Radiation Powerpoint Templates Page (22 years after Maxwell equations) discovered radio waves Hertz ( ) Powerpoint Templates Page 3 Maxwell Equations Powerpoint Templates Page 4 Constitutive Equations Vacuum D = o E B = o H Conductors J = E Linear media D = E B = H Powerpoint Templates Page 5 Non linear media P = (1) E + (2) E 2 + (3) E 3 + D = o (E + (1) E + (2) E 2 + (3) E 3 + ) D = o (E + P) Powerpoint Templates Page 6 Example SHG Powerpoint Templates Page 7 Gauss Theorem Isotropic media => Spherical field Powerpoint Templates Page 8 N of field lines entering a volume must be equal to the n of lines living the volume (no magnetic charge accumulation allowed). => Field lines are closed loops. Powerpoint Templates Page 9 Stokes Theorem DC current Powerpoint Templates Page 10 Free Space Powerpoint Templates Page 11 Possible solution: Plane waves Powerpoint Templates Page 12 Powerpoint Templates Page 13 Potentials Powerpoint Templates Page 14 Polarization Powerpoint Templates Page 15 Powerpoint Templates Page 16 Powerpoint Templates Page 17 Powerpoint Templates Page 18 Powerpoint Templates Page 19 Powerpoint Templates Page 20 Powerpoint Templates Page 21 Powerpoint Templates Page 22 Powerpoint Templates Page 23 Powerpoint Templates Page 24 Powerpoint Templates Page 25 Powerpoint Templates Page 26 Powerpoint Templates Page 27 Refraction & Reflection Powerpoint Templates Page 28 Law of reflection: i = r Snells law: n 1 sin i = n 2 sin t Powerpoint Templates Page 29 Brewster's angle: 56.4 Total reflection: 42 Powerpoint Templates Page 30