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Electromagnetic Waves. Radiation

Problem 4.223

A plane electromagnetic wave with frequency o falls upon an elastically bonded electron whose natural frequency equals \(\omega_{0}\). Neglecting the damping of oscillations, find the ratio of the mean energy dissipated by the electron per unit time to the mean value of the energy flow density of the incident wave.

Reveal Answer
⟨P⟩/⟨S⟩=μ026π(e2/m)2ω4(ω02−ω2)2\langle P\rangle /\langle S\rangle=\frac{\mu_{0}^{2}}{6 \pi} \frac{\left(e^{2} / m\right)^{2} \omega^{4}}{\left(\omega_{0}^{2}-\omega^{2}\right)^{2}}
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