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Ensemble of Uncoupled Oscillators

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Semiconductor Optics

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Abstract

The optical properties of matter are determined by the coupling of various types of oscillators in matter to the electromagnetic radiation field. In other words, an incident electromagnetic field will cause these oscillators to perform driven or forced oscillations. The amplitude of these driven oscillations depends on the angular frequency of the incident field, on the eigenfrequency0 of the oscillators, on the coupling strength f between electromagnetic field and oscillator, and on its damping. In semiconductors the main intrinsic oscillators or resonances are optical phonons, excitons including their ionisation continuum and higher band-to-band transitions or plasmons.

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Notes

  1. 1.

    Sometimes the oscillator strength is defined in a slightly different way as F j with f j  = F j ω0j 2.

  2. 2.

    In the notation of (4.20c) εb appears as a prefactor to the product instead of a summand in (4.22a).

  3. 3.

    This term has been introduced in 1887 by H. Rubens and is used also in the english literature as a synonym for stop-band.

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Klingshirn, C.F. (2012). Ensemble of Uncoupled Oscillators. In: Semiconductor Optics. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28362-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-28362-8_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28361-1

  • Online ISBN: 978-3-642-28362-8

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