Electromagnetic Radiation Powerpoint Templates Page 1 Hertz 1857

Electromagnetic Radiation Powerpoint Templates Page 1

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

Maxwell Equations Powerpoint Templates Page 3

Constitutive Equations Vacuum Linear media D = εo E D=εE B = μo H B=μH Conductors J=σE Powerpoint Templates Page 4

Non linear media P = χ(1)E + χ(2)E 2 + χ(3)E 3 + … D = εo(E + χ(1)E + χ(2)E 2 + χ(3)E 3 + …) D = εo(E + P) Powerpoint Templates Page 5

Example SHG Powerpoint Templates Page 6

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

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. Powerpoint Templates Page 8

Stokes Theorem DC current Powerpoint Templates Page 9

Free Space Powerpoint Templates Page 10

Possible solution: Plane waves Powerpoint Templates Page 11

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Potentials Powerpoint Templates Page 13

Polarization Powerpoint Templates Page 14

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Refraction & Reflection Powerpoint Templates Page 27

Law of reflection: θi = θr Snell’s law: n 1 sin θi = n 2 sin θt Powerpoint Templates Page 28

Brewster's angle: 56. 4º Total reflection: 42º Powerpoint Templates Page 29

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