Plane electromagnetic wave in a linear medium

A plane wave in a homogeneous linear medium satisfies

ω^{2} = \frac{∣ k ∣ ^{2}}{ϵ μ}, v = \frac{1}{ϵ μ}, B_{0} = \frac{1}{ω} k \times E_{0} .

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- Transversality of an electromagnetic plane wave Plane electromagnetic wave in a linear medium

Transversality of an electromagnetic plane wave

The source-free divergence equations imply

k \cdot E_{0} = k \cdot B_{0} = 0

, so both fields are transverse to the wavevector.

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Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 4 / 35E / Solution
Past exam of the mathematics course of the University of Cambridge / 2020 / ii / Paper 4 / 36D / b / ii / Solution
Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 4 / 36B / a / Solution

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