Electromagnetic field quantization in amplifying dielectrics

R Matloob, R Loudon, M Artoni, S M Barnett, J Jeffers

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

The electromagnetic field is quantized for normal transmission of incident waves through a parallel-sided dielectric slab. The dielectric material is dispersive and it acts as a linear amplifier over limited ranges of the frequency and as a linear attenuator at the remaining frequencies. The field operators derived for the three spatial regions within and on either side of the slab are shown to satisfy the canonical commutation relations. The noise fluxes emitted by the slab are evaluated and shown to satisfy the general requirements for the minimum noise associated with linear amplifiers and attenuators. The behavior of the amplifier gain profile on the approach to the lasing threshold of the slab is determined, but the results are restricted to the below-threshold state of the system. The spectra of the electric-field fluctuations are evaluated for the three spatial regions and for amplifying and attenuating frequencies.

LanguageEnglish
Pages1623-1633
Number of pages11
JournalPhysical Review A
Volume55
Issue number3
DOIs
Publication statusPublished - Mar 1997

Fingerprint

electromagnetic fields
slabs
linear amplifiers
attenuators
thresholds
commutation
lasing
amplifiers
operators
requirements
electric fields
profiles

Keywords

  • sum-rules
  • quantum physics
  • amplifiers
  • optics
  • Electromagnetic field quantization

Cite this

Matloob, R ; Loudon, R ; Artoni, M ; Barnett, S M ; Jeffers, J . / Electromagnetic field quantization in amplifying dielectrics. In: Physical Review A. 1997 ; Vol. 55, No. 3. pp. 1623-1633.
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Matloob, R, Loudon, R, Artoni, M, Barnett, SM & Jeffers, J 1997, 'Electromagnetic field quantization in amplifying dielectrics' Physical Review A, vol. 55, no. 3, pp. 1623-1633. https://doi.org/10.1103/PhysRevA.55.1623

Electromagnetic field quantization in amplifying dielectrics. / Matloob, R ; Loudon, R ; Artoni, M ; Barnett, S M ; Jeffers, J .

In: Physical Review A, Vol. 55, No. 3, 03.1997, p. 1623-1633.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Electromagnetic field quantization in amplifying dielectrics

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AU - Loudon, R

AU - Artoni, M

AU - Barnett, S M

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AB - The electromagnetic field is quantized for normal transmission of incident waves through a parallel-sided dielectric slab. The dielectric material is dispersive and it acts as a linear amplifier over limited ranges of the frequency and as a linear attenuator at the remaining frequencies. The field operators derived for the three spatial regions within and on either side of the slab are shown to satisfy the canonical commutation relations. The noise fluxes emitted by the slab are evaluated and shown to satisfy the general requirements for the minimum noise associated with linear amplifiers and attenuators. The behavior of the amplifier gain profile on the approach to the lasing threshold of the slab is determined, but the results are restricted to the below-threshold state of the system. The spectra of the electric-field fluctuations are evaluated for the three spatial regions and for amplifying and attenuating frequencies.

KW - sum-rules

KW - quantum physics

KW - amplifiers

KW - optics

KW - Electromagnetic field quantization

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

T2 - Physical Review A - Atomic, Molecular, and Optical Physics

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