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)

3. Powerpoint Templates Page 3 Maxwell Equations

4. Powerpoint Templates Page 4 Constitutive Equations Vacuum D = ε o E B = μ o H Conductors J = σ E Linear media D = ε E B = μ H

5. Powerpoint Templates Page 5 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)

6. Powerpoint Templates Page 6 Example SHG

7. Powerpoint Templates Page 7 Gauss Theorem Isotropic media => Spherical field

8. Powerpoint Templates Page 8 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.

9. Powerpoint Templates Page 9 Stokes Theorem DC current

10. Powerpoint Templates Page 10 Free Space

11. Powerpoint Templates Page 11 Possible solution: Plane waves

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13. Powerpoint Templates Page 13 Potentials

14. Powerpoint Templates Page 14 Polarization

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27. Powerpoint Templates Page 27 Refraction & Reflection

28. Powerpoint Templates Page 28 Law of reflection: θ i = θ r Snell’s law: n 1 sin θ i = n 2 sin θ t

29. Powerpoint Templates Page 29 Brewster's angle: 56.4º Total reflection: 42º

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