Canonical quantization of electromagnetism in spatially dispersive media

S. A. R. Horsley*, T. G. Philbin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the introduction of nonlocal response in the medium automatically regulates some previously divergent results, and we calculate a finite value for the intensity of the electromagnetic field at a fixed frequency within a homogeneous medium. To conclude we discuss the potential importance of spatial dispersion in taming the divergences that arise in calculations of Casimir- type effects.

Original languageEnglish
Article number013030
Number of pages15
JournalNew Journal of Physics
Volume16
DOIs
Publication statusPublished - 17 Jan 2014

Keywords

  • FLAT PLASMA SHEET
  • CASIMIR FORCES
  • DIELECTRICS
  • FIELD
  • ENERGY
  • MODEL

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