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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 6 — Jun. 1, 2013
  • pp: 1462–1472

Quantum-limited noise figure of networks of linear optical elements

M. E. Marhic  »View Author Affiliations

JOSA B, Vol. 30, Issue 6, pp. 1462-1472 (2013)

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The quantum-limited noise figure (NF) for a general combination of linear optical elements is obtained in a compact form. The entries in this expression are obtained from the classical input–output transmission coefficient of the signal, and of the various transmission coefficients from the noise inputs to the output. The same result is also obtained by means of a semiclassical derivation. The linear elements can be: population-inversion amplifiers, parametric amplifiers and/or wavelength converters, beam splitters, lossy fibers, etc. They form a network with a simple directed graph (no loops). We identify a class of networks for which Friis’ formula for concatenated elements holds. We verify the general formula for a variety of well-known cases. We also verify that the NF for an optical communication link periodically amplified by nondegenerate phase-sensitive parametric amplifiers (PSAs) is only about half of that for a similar system using degenerate PSAs.

© 2013 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: January 23, 2013
Revised Manuscript: April 9, 2013
Manuscript Accepted: April 10, 2013
Published: May 6, 2013

M. E. Marhic, "Quantum-limited noise figure of networks of linear optical elements," J. Opt. Soc. Am. B 30, 1462-1472 (2013)

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