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Physics · University

Electromagnetic waves and energy flow · revision notes

In vacuum, plane electromagnetic waves have transverse electric and magnetic fields with E0=cB0. Both fields are perpendicular to propagation.

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Key ideas and conditions

Vacuum waves

In vacuum, plane electromagnetic waves have transverse electric and magnetic fields with E0=cB0. Both fields are perpendicular to propagation.

Energy flux

The Poynting vector is S=(E×B)/μ0 in vacuum. Its direction gives electromagnetic energy flow in this model.

Intensity

For a sinusoidal vacuum plane wave, mean intensity is ε0cE0²/2. Peak and rms field conventions must not be interchanged unnoticed.

Dispersion

Phase speed ω/k and group speed dω/dk need not coincide in a dispersive medium. Vacuum propagation is a special nondispersive case.

Explain without looking

  1. Explain why peak field cannot simply be substituted into a formula written for rms field.
  2. Describe a right-hand-rule check on the propagation direction when E points +x and B points +y.

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