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Statistical properties of filtered amplified spontaneous emission noise of erbium-doped fiber amplifiers

Sik Heng Foo

Published Jan 1, 1999• 2 citations
Publisher
DOI
10.7939/r3zs2kh7c

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The evaluation of interferences and noise in quantum key distribution (QKD) links that coexist with classical links is fundamental in the design of QKD deployments. In this work, we provide an experimental assessment of the effects of amplified spontaneous emission (ASE) noise resulting from the copropagation of weak coherent pulses (WCPs) and erbium-doped fiber amplifier (EDFA)-amplified classical signals through an outdoor free-space optical link. We achieve an average estimated lower bound for the quantum bit error rate (QBER) due to ASE noise below 4% in all the scenarios that we evaluate, thus making the QKD link feasible. Our study explores the need to take into consideration both the ASE noise and the interference from the amplified signal when designing a discrete variable (DV)-QKD scheme that coexists with the propagation of classical channels. By adding filters on the receiver side, the direct interference caused by the amplified classical signal can be reduced. At the transmitter side, ASE suppression filters must be used to address false detections caused by ASE noise, and the EDFA must operate at the best pump current possible to achieve the desired gain while minimizing noise. For a 10 dB increase in the EDFA’s gain, we have measured an increase in the estimated lower bound for the QBER of 1.71%. This establishes a tradeoff between the amount of launched power required and the amount of ASE noise that degrades the quality of the quantum signal.

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Theoretical Analysis of Noise in Erbium Doped Fiber Amplifier

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Characteristics of noise in erbium doped fiber amplifier (EDFA) are theoretically analyzed and experimentally verified. Four discreet energy models are used for erbium ion transition. Spatially varying photon number for traveling optical field was defined in a spatially divided segment with finite length, whose length is decided by property of the spontaneous emission. Quantitative evaluation of the Langevin noise sources becomes possible by this model. The amplified spontaneous emission was included in terms of discrete longitudinal mode, which is defined for whole length of the EDFA. It was found that the relative intensity noise (RIN) in the EDFA hardly changes with noise frequency in the region higher than several kHz. The phase noise in EDFA also hardly changes with the noise frequency. The frequency noise of the signal light in the EDFA increases proportional to squared value of the noise frequency. The amount of RIN and the phase noise decrease in higher input optical power. Good correspondence between theoretical and experimental results was obtained.

IEEE Journal of Quantum Electronics•Jun 20, 2017•18 citations
The evaluation of interferences and noise in quantum key distribution (QKD) links that coexist with classical links is fundamental in the design of QKD deployments. In this work, we provide an experimental assessment of the effects of amplified spontaneous emission (ASE) noise resulting from the copropagation of weak coherent pulses (WCPs) and erbium-doped fiber amplifier (EDFA)-amplified classical signals through an outdoor free-space optical link. We achieve an average estimated lower bound for the quantum bit error rate (QBER) due to ASE noise below 4% in all the scenarios that we evaluate, thus making the QKD link feasible. Our study explores the need to take into consideration both the ASE noise and the interference from the amplified signal when designing a discrete variable (DV)-QKD scheme that coexists with the propagation of classical channels. By adding filters on the receiver side, the direct interference caused by the amplified classical signal can be reduced. At the transmitter side, ASE suppression filters must be used to address false detections caused by ASE noise, and the EDFA must operate at the best pump current possible to achieve the desired gain while minimizing noise. For a 10 dB increase in the EDFA’s gain, we have measured an increase in the estimated lower bound for the QBER of 1.71%. This establishes a tradeoff between the amount of launched power required and the amount of ASE noise that degrades the quality of the quantum signal.
Characteristics of noise in erbium doped fiber amplifier (EDFA) are theoretically analyzed and experimentally verified. Four discreet energy models are used for erbium ion transition. Spatially varying photon number for traveling optical field was defined in a spatially divided segment with finite length, whose length is decided by property of the spontaneous emission. Quantitative evaluation of the Langevin noise sources becomes possible by this model. The amplified spontaneous emission was included in terms of discrete longitudinal mode, which is defined for whole length of the EDFA. It was found that the relative intensity noise (RIN) in the EDFA hardly changes with noise frequency in the region higher than several kHz. The phase noise in EDFA also hardly changes with the noise frequency. The frequency noise of the signal light in the EDFA increases proportional to squared value of the noise frequency. The amount of RIN and the phase noise decrease in higher input optical power. Good correspondence between theoretical and experimental results was obtained.