Optical signal-to-noise ratio

Linear and Nonlinear Degradations in Fiber Optic Systems

Technical 3 Mins Read

In the world of fiber-optic communication, the integrity of the transmitted signal is critical. As an optical engineers, our primary objective is to mitigate the attenuation of signals across long distances, ensuring that data arrives at its destination with minimal loss and distortion. In this article we will discuss into the challenges of linear and nonlinear degradations in fiber-optic systems, with a focus on transoceanic length systems, and offers strategies for optimising system performance.

The Role of Optical Amplifiers

Erbium-doped fiber amplifiers (EDFAs) are the cornerstone of long-distance fiber-optic transmission, providing essential gain within the low-loss window around 1550 nm. Positioned typically between 50 to 100 km apart, these amplifiers are critical for compensating the fiber’s inherent attenuation. Despite their crucial role, EDFAs introduce additional noise, progressively degrading the optical signal-to-noise ratio (OSNR) along the transmission line. This degradation necessitates a careful balance between signal amplification and noise management to maintain transmission quality.

OSNR: The Critical Metric

The received OSNR, a key metric for assessing channel performance, is influenced by several factors, including the channel’s fiber launch power, span loss, and the noise figure (NF) of the EDFA. The relationship is outlined as follows:

Where:

$N EDFA$ is the number of EDFAs the signal has passed through.
$P Launch$ is the power of the signal when it’s first sent into the fiber, in dBm.
Loss represents the total loss the signal experiences, in dB.
NF is the noise figure of the EDFA, also in dB.

Increasing the launch power enhances the OSNR linearly; however, this is constrained by the onset of fiber nonlinearity, particularly Kerr effects, which limit the maximum effective launch power.

The Kerr Effect and Its Implications

The Kerr effect, stemming from the intensity-dependent refractive index of optical fiber, leads to modulation in the fiber’s refractive index and subsequent optical phase changes. Despite the Kerr coefficient ( $n_{2}$ ) being exceedingly small, the combined effect of long transmission distances, high total power from EDFAs, and the small effective area of standard single-mode fiber (SMF) renders this nonlinearity a dominant factor in signal degradation over transoceanic distances.

The phase change induced by this effect depends on a few key factors:

The fiber’s nonlinear coefficient $n_{2}$ .
The signal power $P_{s} (t)$ , which varies over time.
The transmission distance.
The fiber’s effective area $A eff$ .

This phase modulation complicates the accurate recovery of the transmitted optical field, thus limiting the achievable performance of undersea fiber-optic transmission systems.

The Kerr effect is a bit like trying to talk to someone at a party where the music volume keeps changing. Sometimes your message gets through loud and clear, and other times it’s garbled by the fluctuations. In fiber optics, managing these fluctuations is crucial for maintaining signal integrity over long distances.

Striking the Right Balance

Understanding and mitigating the effects of both linear and nonlinear degradations are critical for optimising the performance of undersea fiber-optic transmission systems. Engineers must navigate the delicate balance between maximizing OSNR for enhanced signal quality and minimising the impact of nonlinear distortions.The trick, then, is to find that sweet spot where our OSNR is high enough to ensure quality transmission but not so high that we’re deep into the realm of diminishing returns due to nonlinear degradation. Strategies such as carefully managing launch power, employing advanced modulation formats, and leveraging digital signal processing techniques are vital for overcoming these challenges.

ZR vs. ZR+: Navigating the Evolution of Coherent Optical Standards

Technical 4 Mins Read

In this ever-evolving landscape of optical networking, the development of coherent optical standards, such as 400G ZR and ZR+, represents a significant leap forward in addressing the insatiable demand for bandwidth, efficiency, and scalability in data centers and network infrastructure. This technical blog delves into the nuances of these standards, comparing their features, applications, and how they are shaping the future of high-capacity networking. ZR stands for “Ze Best Range” and ZR+ is reach “Ze Best Range plus”

Introduction to 400G ZR

The 400G ZR standard, defined by the Optical Internetworking Forum (OIF), is a pivotal development in the realm of optical networking, setting the stage for the next generation of data transmission over optical fiber’s. It is designed to facilitate the transfer of 400 Gigabit Ethernet over single-mode fiber across distances of up to 120 kilometers without the need for signal amplification or regeneration. This is achieved through the use of advanced modulation techniques like DP-16QAM and state-of-the-art forward error correction (FEC).

Key features of 400G ZR include:

High Capacity: Supports the transmission of 400 Gbps using a single wavelength.
Compact Form-Factor: Integrates into QSFP-DD and OSFP modules, aligning with industry standards for data center equipment.
Cost Efficiency: Reduces the need for external transponders and simplifies network architecture, lowering both CAPEX and OPEX.

Emergence of 400G ZR+

Building upon the foundation set by 400G ZR, the 400G ZR+ standard extends the capabilities of its predecessor by increasing the transmission reach and introducing flexibility in modulation schemes to cater to a broader range of network topologies and distances. The OpenZR+ MSA has been instrumental in this expansion, promoting interoperability and open standards in coherent optics.

Key enhancements in 400G ZR+ include:

Extended Reach: With advanced FEC and modulation, ZR+ can support links up to 2,000 km, making it suitable for longer metro, regional, and even long-haul deployments.
Versatile Modulation: Offers multiple configuration options (e.g., DP-16QAM, DP-8QAM, DP-QPSK), enabling operators to balance speed, reach, and optical performance.
Improved Power Efficiency: Despite its extended capabilities, ZR+ maintains a focus on energy efficiency, crucial for reducing the environmental impact of expanding network infrastructures.

ZR vs. ZR+: A Comparative Analysis

Feature.	400G ZR	400G ZR+
Reach	Up to 120 km	Up to 2,000 km
Modulation	DP-16QAM	DP-16QAM, DP-8QAM, DP-QPSK
Form Factor	QSFP-DD, OSFP	QSFP-DD, OSFP
Application	Data center interconnects	Metro, regional, long-haul

Adding few more interesting table for readers

Based on application

Product	Reach	Client Formats	Data Rate & Modulation	Wavelength	Tx Power	Connector	Fiber	Interoperability	Application
800G ZR+	4000 km+	100GbE 200GbE 400GbE 800GbE	800G Interop PCS 600G PCS 400G PCS	1528.58 to 1567.34	>+1 dBm (with TOF)	LC	SMF	OpenROADM interoperable PCS	Ideal for metro/regional Ethernet data center and service provider network interconnects
800ZR	120 km	100GbE 200GbE 400GbE	800G 16QAM 600G PCS 400G Interop QPSK/16QAM PCS	1528.58 to 1567.34	-11 dBm to -2 dBm	LC	SMF	OIF 800ZR OpenROADM Interop PCS OpenZR+	Ideal for amplified single-span data center interconnect applications
400G Ultra Long Haul	4000 km+	100GbE 200GbE 400GbE	400G Interoperable QPSK/16QAM PCS	1528.58 to 1567.34	>+1 dBm (with TOF)	LC	SMF	OpenROADM Interop PCS	Ideal for long haul and ultra-long haul service provider ROADM network applications
Bright 400ZR+	4000 km+	100GbE 200GbE 400GbE OTUCn OTU4	400G 16QAM 300G 8QAM 200G/100G QPSK	1528.58 to 1567.34	>+1 dBm (with TOF)	LC	SMF	OpenZR+ OpenROADM	Ideal for metro/regional and service provider ROADM network applications
400ZR	120 km	100GbE 200GbE 400GbE	400G 16QAM	1528.58 to 1567.34	>-10 dBm	LC	SMF	OIF 400ZR	Ideal for amplified single span data center interconnect applications
OpenZR+	4000 km+	100GbE 200GbE 400GbE	400G 16QAM 300G 8QAM 200G/100G QPSK	1528.58 to 1567.34	>-10 dBm	LC	SMF	OpenZR+ OpenROADM	Ideal for metro/regional Ethernet data center and service provider network interconnects
400G ER1	45 km	100GbE 400GbE	400G 16QAM	Fixed C to band	>12.5 dB Link Budget	LC	SMF	OIF 400ZR application code 0x02 OpenZR+	Ideal for unamplified point-to-point links

*TOF: Tunable Optical Filter

The Future Outlook

The advent of 400G ZR and ZR+ is not just a technical upgrade; it’s a paradigm shift in how we approach optical networking. With these technologies, network operators can now deploy more flexible, efficient, and scalable networks, ready to meet the future demands of data transmission.

Moreover, the ongoing development and expected introduction of XR optics highlight the industry’s commitment to pushing the boundaries of what’s possible in optical networking. XR optics, with its promise of multipoint capabilities and aggregation of lower-speed interfaces, signifies the next frontier in coherent optical technology.

Reference

Acacia Introduces 800ZR and 800G ZR+ with Interoperable PCS in QSFP-DD and OSFP

Noise Concatenation in Optical Amplifier Chains

Standards 4 Mins Read

Optical networks are the backbone of the internet, carrying vast amounts of data over great distances at the speed of light. However, maintaining signal quality over long fiber runs is a challenge due to a phenomenon known as noise concatenation. Let’s delve into how amplified spontaneous emission (ASE) noise affects Optical Signal-to-Noise Ratio (OSNR) and the performance of optical amplifier chains.

The Challenge of ASE Noise

ASE noise is an inherent byproduct of optical amplification, generated by the spontaneous emission of photons within an optical amplifier. As an optical signal traverses through a chain of amplifiers, ASE noise accumulates, degrading the OSNR with each subsequent amplifier in the chain. This degradation is a crucial consideration in designing long-haul optical transmission systems.

Understanding OSNR

OSNR measures the ratio of signal power to ASE noise power and is a critical parameter for assessing the performance of optical amplifiers. A high OSNR indicates a clean signal with low noise levels, which is vital for ensuring data integrity.

Reference System for OSNR Estimation

As depicted in Figure below), a typical multichannel N span system includes a booster amplifier, N−1 line amplifiers, and a preamplifier. To simplify the estimation of OSNR at the receiver’s input, we make a few assumptions:

Representation of optical line system interfaces (a multichannel N-span system)

All optical amplifiers, including the booster and preamplifier, have the same noise figure.
The losses of all spans are equal, and thus, the gain of the line amplifiers compensates exactly for the loss.
The output powers of the booster and line amplifiers are identical.

Estimating OSNR in a Cascaded System

E1: Master Equation For OSNR

P_out is the output power (per channel) of the booster and line amplifiers in dBm, L is the span loss in dB (which is assumed to be equal to the gain of the line amplifiers), G_BA is the gain of the optical booster amplifier in dB, NFis the signal-spontaneous noise figure of the optical amplifier in dB, h is Planck’s constant (in mJ·s to be consistent with P_out in dBm), ν is the optical frequency in Hz, ν_r is the reference bandwidth in Hz (corresponding to c/Br ), N–1 is the total number of line amplifiers.

The OSNR at the receivers can be approximated by considering the output power of the amplifiers, the span loss, the gain of the optical booster amplifier, and the noise figure of the amplifiers. Using constants such as Planck’s constant and the optical frequency, we can derive an equation that sums the ASE noise contributions from all N+1 amplifiers in the chain.

Simplifying the Equation

Under certain conditions, the OSNR equation can be simplified. If the booster amplifier’s gain is similar to that of the line amplifiers, or if the span loss greatly exceeds the booster gain, the equation can be modified to reflect these scenarios. These simplifications help network designers estimate OSNR without complex calculations.

1) If the gain of the booster amplifier is approximately the same as that of the line amplifiers, i.e., G_BA » L, above Equation E1 can be simplified to:

E1-1

2) The ASE noise from the booster amplifier can be ignored only if the span loss L (resp. the gain of the line amplifier) is much greater than the booster gain G_BA. In this case Equation E1-1 can be simplified to:

E1-2

3) Equation E1-1 is also valid in the case of a single span with only a booster amplifier, e.g., short‑haul multichannel IrDI in Figure 5-5 of [ITU-T G.959.1], in which case it can be modified to:

E1-3

4) In case of a single span with only a preamplifier, Equation E1 can be modified to:

Practical Implications for Network Design

Understanding the accumulation of ASE noise and its impact on OSNR is crucial for designing reliable optical networks. It informs decisions on amplifier placement, the necessity of signal regeneration, and the overall system architecture. For instance, in a system where the span loss is significantly high, the impact of the booster amplifier on ASE noise may be negligible, allowing for a different design approach.

Conclusion

Noise concatenation is a critical factor in the design and operation of optical networks. By accurately estimating and managing OSNR, network operators can ensure signal quality, minimize error rates, and extend the reach of their optical networks.

In a landscape where data demands are ever-increasing, mastering the intricacies of noise concatenation and OSNR is essential for anyone involved in the design and deployment of optical communication systems.

References

https://www.itu.int/rec/T-REC-G/e

Measuring Coherent System OSNR using integral method

Technical 3 Mins Read

For coherent signals with wide optical spectrum, the traditional scanning method using an OSA or inband polarization method (EXFO) cannot correctly measure system OSNR. Therefore, use the integral method to measure OSNR of coherent signals.

Perform the following operations to measure OSNR using the integral method:

1.Position the central frequency of the wavelength under test in the middle of the screen of an OSA.

2.Select an appropriate bandwidth span for integration (for 40G/100G coherent signals, select 0.4 nm).

3.Read the sum of signal power and noise power within the specified bandwidth. On the OSA, enable the Trace Integ function and read the integral value. As shown in Figure 2, the integral optical power (P + N) is 9.68 uW.

4.Read the integral noise power within the specified bandwidth. Disable the related laser before testing the integral noise power. Obtain the integral noise power N within the signal bandwidth specified in step 2. The integral noise power (N) is 29.58 nW.

5.Calculate the integral noise power (n) within the reference noise bandwidth. Generally, the reference noise bandwidth is 0.1 nm. Read the integral power of central frequency within the bandwidth of 0.1 nm. In this example, the integral noise power within the reference noise bandwidth is 7.395 nW.

6.Calculate OSNR. OSNR = 10 x lg{[(P + N) – N]/n}

In this example, OSNR = 10 x log[(9.68 – 0.02958)/0.007395] = 31.156 dB

We follow integral method because Direct OSNR Scanning Cannot Ensure Accuracy because of the following reason:

A 40G/100G signal has a larger spectral width than a 10G signal. As a result, the signal spectrums of adjacent channels overlap each other. This brings difficulties in testing the OSNR using the traditional OSA method, which is implemented based on the interpolation of inter-channel noise that is equivalent to in-band noise. Inter-channel noise power contains not only the ASE noise power but also the signal crosstalk power. Therefore, the OSNR obtained using the traditional OSA method is less than the actual OSNR. The figure below shows the signal spectrums in hybrid transmission of 40G and 10G signals with 50 GHz channel spacing. As shown in the figure, a severe spectrum overlap has occurred and the tested ASE power is greater than it should be .As ROADM and OEQ technologies become mature and are widely used, the use of filter devices will impair the noise spectrum. As shown in the following figure, the noise power between channels decreases remarkably after signals traverse a filter. As a result, the OSNR obtained using the traditional OSA method is greater than the actual OSNR..