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On the quantization of the electromagnetic field of a layered dielectric waveguide
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.ORCID iD: 0000-0002-9857-0938
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.ORCID iD: 0000-0002-7018-6248
Russian Academy of Sciences.
2012 (English)In: QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6, 2012, 285-299 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper gives a detailed derivation of the classical electromagnetic modes of a layered circularly symmetrical dielectric waveguide. The corresponding Hamilton function is derived by using suitable canonical observables and the standard analogy to the classical harmonic oscillator. The derivation is generic in the sense that it can be used as an "algorithm" to compute the electromagnetic field of the waveguide. The associated Hamilton operator can then be obtained by using the standard quantization procedure where the canonical observables are replaced by the corresponding operators i.e., the creation and the annihilation operators of the photon (or equivalently, the position and the momentum operators of the harmonic oscillator) and by taking the appropriate commutation relations into account.

Place, publisher, year, edition, pages
2012. 285-299 p.
Series
AIP Conference Proceedings, ISSN 0094-243X ; 1508
Keyword [en]
Hamiltonian, waveguide theory, optical fibers, quantum electrodynamics
National Category
Physical Sciences
Research subject
Natural Science, Physics
Identifiers
URN: urn:nbn:se:lnu:diva-26308DOI: 10.1063/1.4773140ISI: 000317107200029ISBN: 978-0-7354-1126-5 (print)OAI: oai:DiVA.org:lnu-26308DiVA: diva2:627180
Conference
International Conference on Quantum Theory - Reconsideration of Foundations-6 (QTRF6), JUN 11-14, 2012, Vaxjo, SWEDEN
Available from: 2013-06-11 Created: 2013-06-11 Last updated: 2017-01-10Bibliographically approved

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Khrennikov, AndreiNilsson, BörjeNordebo, Sven

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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