Theoretical foundations

Lukas Novotny; Bert Hecht

doi:10.1017/CBO9780511794193.004

2 - Theoretical foundations

Published online by Cambridge University Press: 05 November 2012

Lukas Novotny and

Bert Hecht

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Lukas Novotny: Affiliation:
University of Rochester, New York and ETH Zürich, Switzerland
Bert Hecht: Affiliation:
Julius-Maximilians-Universität Würzburg, Germany

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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 within 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).

Type: Chapter
Information: Principles of Nano-Optics , pp. 12 - 44

DOI: https://doi.org/10.1017/CBO9780511794193.004 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2012

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2 - Theoretical foundations

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