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Parametric Amplification and Signal-to-Noise Ratio in Optical Transmission Lines

Antonio Mecozzi, P. Tombesi

Published Jan 1, 1990• 0 citations
OpenAlex

Abstract

The equivalence between squeezing of the loss and phase-dependent amplification of the signal in an optical transmission line is shown. The properties of the radiation at the end of a lossy line, where N phase sensitive linear amplifiers have been inserted, are analyzed and discussed. In the large N limit a logarithmic dependence of the noise on the loss, which reduces the degradation of the signal-to-noise ratio, is obtained. It is also shown that by considering a χ(2) waveguide the same result can be achieved.

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Annual Meeting Optical Society of America•Jan 1, 1992•0 citations
The equivalence between squeezing of the loss and phase-dependent amplification of the signal in an optical transmission line is shown. The properties of the radiation at the end of a lossy line, where N phase sensitive linear amplifiers have been inserted, are analyzed and discussed. In the large N limit a logarithmic dependence of the noise on the loss, which reduces the degradation of the signal-to-noise ratio, is obtained. It is also shown that by considering a χ(2) waveguide the same result can be achieved.
We review the relations between squeezing and optical communication advances and introduce the field of distributed phase-sensitive amplification, where we expect this cross-fertilization to happen next. We consider the quantum noise properties of phase-sensitive amplifiers in lossy fiber in the case of arbitrary parametric gain distribution along the fiber length. Three most important cases of gain followed by loss, loss followed by gain, and ideally distributed gain, are discussed in detail. We show that ideally distributed phase-sensitive amplifier maximizes the signal-to-noise ratio for a fixed non-linear phase shift in the fiber span, and is promising for both classical and quantum communications.
Abstract Phase-sensitive amplification of squeezed states is a technique to mitigate high detection loss, which is especially attractive at 2 µm wavelengths. We derived an analytical model proving that amplified squeezed states can mitigate phase noise significantly. Our model discloses two practical parameters: the effective measurable squeezing and the effective detection efficiency of amplified squeezed states. A realistic case study includes the dynamics of the gain-dependent impedance matching conditions of the amplifier. Our results recommend operating the optical parametric amplifier at high gains because of the signal-to-noise ratio’s robustness to phase noise. Amplified squeezed states are relevant in proposed gravitational wave detectors and interesting for applications in quantum systems degraded by the output coupling loss in optical waveguides.
The noise properties of the two main kinds of linear optical amplifier, phase-insensitive and phase-sensitive, are reviewed, with particular emphasis on their minimum-noise limits. An optical communications link is considered, in which identical sections of attenuating fiber alternate with identical linear amplifiers. The limits on the overall signal-to-noise ratios of such chains are derived. More attention is paid to the signal-to-noise ratio appropriate to phase-sensitive detection, but some results for direct detection are also given.
Optical parametric amplifiers (PAs) utilize highly efficient nonlinear effects in an optical fiber and they have the ability to operate in phase-sensitive mode. The inclusion of PAs in optical systems can give an ultimate limit for lumped amplified links in terms of achievable signal to noise ratio. The drawback is the complexity stemming from the requirement of phase matching a number of waves at each amplifier, phase lock, and the extra spectrum consumed by idler waves. In this chapter, the theories of a parametric amplifier, including the quantum-optical equations, are given. The properties of the gain saturation and the noise figure are presented. Practical amplifier systems and their applications in phase-sensitive amplification, all-optical signal regeneration, and squeeze state generation are outlined.
Quantum fluctuations in an optical amplifier are of fundamental as well as technological significance and lead to basic limitations on noise performance. It is well-known that the signal-to-noise ratio (SNR) of an injected signal is degraded in the amplification process due to added noise from thermal or (at best) vacuum fluctuations of the internal modes of the amplifier.[1] However, if the internal modes are coupled to a squeezed vacuum, the added noise in amplification can be reduced.[2] With this motivation, we have constructed a nondegenerate parametric amplifier whose idler mode is itself coupled to a squeezed vacuum, which is generated by a second parametric amplifier. Phase-sensitive noise amplification of a vacuum input to the signal mode is observed with the minimum amplified noise level 0.5dB below the usual phase-insensitive amplified noise level for the amplified signal of the same amplifier but with the idler mode coupled to a vacuum state. Prospects for improvement by increasing the squeezing that is coupled into the idler mode of the amplifier beyond the current level of 2dB as well as surprising results from our theoretical analysis which includes losses will be discussed.