Quantum optics of traveling-wave attenuators and amplifiers

J R JEFFERS, N IMOTO, R LOUDON

Research output: Contribution to journalArticle

96 Citations (Scopus)

Abstract

We use a continuous-mode quantization scheme to derive relations between the output- and input-field operators for traveling-wave propagation along attenuating and amplifying optical fibers. These relations provide complete information on the temporal and longitudinal spatial developments of the signal field. They are used here to obtain the effects of propagation on the first and second moments of the photocount in direct detection and of the signal field measured in balanced homodyne detection. Some of the results are similar to those obtained for attenuation or amplification of standing waves in cavities, and, for example, the survival of any input squeezing still limits the maximum gain to twofold. There are, however, additional propagation effects for the traveling-wave system. Thus, in direct detection, it is necessary to take account of the changes in gain profile with propagation distance, and in homodyne detection there are fundamental quantum-mechanical restrictions on the minimum field uncertainties that can be achieved in measurements at separated space-time points. These uncertainty properties are derived in detail and illustrated by the example of a squeezed input signal.

LanguageEnglish
Pages3346-3359
Number of pages14
JournalPhysical Review A
Volume47
Issue number4
DOIs
Publication statusPublished - Apr 1993

Fingerprint

attenuators
quantum optics
traveling waves
amplifiers
propagation
standing waves
compressing
wave propagation
constrictions
optical fibers
attenuation
moments
operators
cavities
output
profiles

Keywords

  • light propagation
  • parametric amplification
  • fiber amplifiers
  • noise
  • quantization

Cite this

JEFFERS, J R ; IMOTO, N ; LOUDON, R . / Quantum optics of traveling-wave attenuators and amplifiers. In: Physical Review A. 1993 ; Vol. 47, No. 4. pp. 3346-3359.
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Quantum optics of traveling-wave attenuators and amplifiers. / JEFFERS, J R ; IMOTO, N ; LOUDON, R .

In: Physical Review A, Vol. 47, No. 4, 04.1993, p. 3346-3359.

Research output: Contribution to journalArticle

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AU - IMOTO, N

AU - LOUDON, R

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AB - We use a continuous-mode quantization scheme to derive relations between the output- and input-field operators for traveling-wave propagation along attenuating and amplifying optical fibers. These relations provide complete information on the temporal and longitudinal spatial developments of the signal field. They are used here to obtain the effects of propagation on the first and second moments of the photocount in direct detection and of the signal field measured in balanced homodyne detection. Some of the results are similar to those obtained for attenuation or amplification of standing waves in cavities, and, for example, the survival of any input squeezing still limits the maximum gain to twofold. There are, however, additional propagation effects for the traveling-wave system. Thus, in direct detection, it is necessary to take account of the changes in gain profile with propagation distance, and in homodyne detection there are fundamental quantum-mechanical restrictions on the minimum field uncertainties that can be achieved in measurements at separated space-time points. These uncertainty properties are derived in detail and illustrated by the example of a squeezed input signal.

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