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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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Powerpoint Templates

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Electromagnetic

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