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Electromagnetic Radiation. Powerpoint Templates. Hertz (1857-1894). 1887 (22 years after Maxwell equations) discovered radio waves. Maxwell Equations. Constitutive Equations. Vacuum D = ε o E B = μ o H Conductors J = σ E. Linear media D = ε E B = μ H. Non linear media.

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Electromagnetic

Radiation

Powerpoint Templates


Hertz

(1857-1894)

1887 (22 years after Maxwell equations) discovered radio waves


Maxwell Equations


Constitutive Equations

Vacuum

D = εo E

B = μo H

Conductors

J = σ E

Linear media

D = ε E

B = μ H


Non linear media

P = χ(1)E + χ(2)E2 + χ(3)E3 + …

D = εo(E + χ(1)E + χ(2)E2 + χ(3)E3 + …)

D = εo(E + P)


Example SHG


Gauss Theorem

Isotropic media => Spherical field


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.


Stokes Theorem

DC current


Free Space


Possible solution: Plane waves


Potentials


Polarization


Refraction & Reflection


Law of reflection: θi = θr

Snell’s law: n1sinθi = n2sinθt


Brewster's angle: 56.4º

Total reflection: 42º


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