1. Powerpoint Templates Page 1 Powerpoint Templates Electromagnetic Radiation

2. Powerpoint Templates Page 2 1887 (22 years after Maxwell equations) discovered radio waves Hertz (1857-1894)

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4. Powerpoint Templates Page 4 Maxwell Equations

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9. Powerpoint Templates Page 9 Constitutive Equations Vacuum D = ε o E B = μ o H Conductors J = σ E Linear media D = ε E B = μ H

10. Powerpoint Templates Page 10 Non linear media P = χ (1) E + χ (2) E 2 + χ (3) E 3 + … D = ε o (E + χ (1) E + χ (2) E 2 + χ (3) E 3 + …) D = ε o (E + P)

11. Powerpoint Templates Page 11 Example SHG

12. Powerpoint Templates Page 12 Gauss Theorem Isotropic media => Spherical field

13. Powerpoint Templates Page 13 Nº of field lines entering a volume must be equal to the nº of lines living the volume (no magnetic charge accumulation allowed). => Field lines are closed loops.

14. Powerpoint Templates Page 14 Stokes Theorem DC current

15. Powerpoint Templates Page 15 Free Space

16. Powerpoint Templates Page 16 Possible solution: Plane waves

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18. Powerpoint Templates Page 18 Potentials

19. Powerpoint Templates Page 19 Polarization

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32. Powerpoint Templates Page 32 Refraction & Reflection

33. Powerpoint Templates Page 33 Law of reflection: θ i = θ r Snell’s law: n 1 sin θ i = n 2 sin θ t

34. Powerpoint Templates Page 34 Brewster's angle: 56.4º Total reflection: 42º

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