Abstract
A study is made of the influence of the retarded electromagnetic interaction of a system of identical oscillators arranged in a cubic lattice on the form of the line of spontaneous radiation. All the cases of the mutual relation of the wave-lengthλ, the lattice constanta and the length of the crystalL = Na are solved in a unified manner. In the long-wave case (a<λ/2) it is shown that the line is greatly broadened and shifted (Fig. 3). Especially in the micro-wave case (a< <L<λ/2) the broadening is of the order ofN3γ e and the shift of the orderN2(λ/a)γ e , whereγ e is the natural line width of an isolated emitter. In the optical case (a<λ/2<L) the broadening is of the order ofN(λ/a)2γ e and the shift of the order (λ/a)3γ e . In the directions satisfying Bragg's condition the line loses its Lorentz form and further broadening and also shifting of the line may occur. It is shown that the vibrations of the crystal lattice influence the coherent effects studied in the same way as they influence the Mossbauer effect.
Published Version
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