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2 - Theoretical foundations

Published online by Cambridge University Press:  05 June 2012

Lukas Novotny
Affiliation:
University of Rochester, New York
Bert Hecht
Affiliation:
Universität Basel, Switzerland
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Summary

Light embraces the most fascinating spectrum of electromagnetic radiation. This is mainly due to the fact that the energy of light quanta (photons) lies in the energy range of electronic transitions in matter. This gives us the beauty of color and is the reason why our eyes adapted to sense the optical spectrum.

Light is also fascinating because it manifests itself in the forms of waves and particles. In no other range of the electromagnetic spectrum are we more confronted with the wave–particle duality than in the optical regime. While long wavelength radiation (radiofrequencies, microwaves) is well described by wave theory, short wavelength radiation (X-rays) exhibits mostly particle properties. The two worlds meet in the optical regime.

To describe optical radiation in nano-optics it is mostly sufficient to adopt the wave picture. This allows us to use classical field theory based on Maxwell's equations. Of course, in nano-optics the systems with which the light fields interact are small (single molecules, quantum dots), which necessitates a quantum description of the material properties. Thus, in most cases we can use the framework of semiclassical theory, which combines the classical picture of fields and the quantum picture of matter. However, occasionally, we have to go beyond the semiclassical description. For example the photons emitted by a quantum system can obey non-classical photon statistics in the form of photon-antibunching (no two photons arriving simultaneously).

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Publisher: Cambridge University Press
Print publication year: 2006

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  • Theoretical foundations
  • Lukas Novotny, University of Rochester, New York, Bert Hecht, Universität Basel, Switzerland
  • Book: Principles of Nano-Optics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511813535.003
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  • Theoretical foundations
  • Lukas Novotny, University of Rochester, New York, Bert Hecht, Universität Basel, Switzerland
  • Book: Principles of Nano-Optics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511813535.003
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Theoretical foundations
  • Lukas Novotny, University of Rochester, New York, Bert Hecht, Universität Basel, Switzerland
  • Book: Principles of Nano-Optics
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511813535.003
Available formats
×