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Light Scattering by the Relativistic (Non-linear) Oscillator

Naturevolume 207page854 (1965) | Download Citation



A SIMPLE non-linear model of the scattering particle is the relativistic oscillator (without damping), the approximate equation of motion of which1 is: Here ε = (3/2) ω02/c2, ω0 being the linear frequency and m0 the rest mass. Assuming F of the form εF0, a solution is x = A cos ω1 t, where: Setting F0 = eE0, e being electric charge and E0 the field strength, the electric dipole moment p = ex, the average rate of emission dŪ/dt = ω4p2/3c3, and the intensity I = (c/8 π)E02, we find for the ratio of incident to emitted intensity (for N oscillators):

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  1. 1

    Hutten, E. H., Nature, 205, 892 (1965).

  2. 2

    George, T. V., et. al., Phys. Rev. Letters., 11, 403 (1963).

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  1. Royal Holloway College, University of London, Englefield Green, Surrey

    • E. H. HUTTEN


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