LINK DESIGN

Launch power adds OSNR until nonlinear interference removes it faster.

What You Will Learn

  • Define generalized signal-to-noise ratio from its three component noise powers and state the 0.1 nm reference-bandwidth convention that fixes its numerical value.
  • Build a per-span noise ledger that carries an amplified spontaneous emission term on every span, a nonlinear term on solid-core spans, and an inter-modal interference term on hollow-core spans.
  • Quantify why the nonlinear coefficient ratio of about 10⁻³ between air and silica moves the nonlinear interference coefficient by roughly six orders of magnitude.
  • Reproduce the 520 km reference route of Table 2, span by span, to a path GSNR of 28.54 dB and a residual margin of +4.14 dB against an 800G ZR+ class requirement.
  • Place the inter-modal interference ceiling at −(IMI in dB/km) − 10 log₁₀(L) and read off the launch power beyond which a hollow-core span gains nothing.
  • Size the launch-power step between media against the following amplifier's gain, and recognise the 10 dB gain floor below which erbium-doped amplifier noise figure gives back what the step bought.
  • Rank candidate spans for conversion by their reciprocal contribution to the path total, and explain why per-route GSNR return accelerates while per-network feasible-path count saturates.
  • Select the monitoring and commissioning steps a mixed route needs, from gas-line absorption characterisation to the 30 dB backscatter deficit that reshapes reflectometry.

1. Introduction

A 520 km route that carries 280 km of hollow-core fiber and 240 km of standard single-mode fiber presents a planning tool with two transmission media whose noise behaviour differs by six orders of magnitude in one term, by a factor of two in another, and by the presence or absence of a third term entirely. The single-mode spans generate Kerr nonlinear interference that grows as the cube of launch power. The hollow-core spans generate almost none, because the guided field propagates in air with a nonlinear coefficient roughly 1,000 times lower than silica (measured, reported across the anti-resonant hollow-core fiber literature). In exchange, the hollow-core spans carry inter-modal interference, an impairment that does not exist on single-mode fiber at all.

Two separate budgets — one for each medium — answer the wrong question. A coherent receiver at the far end of the route reports one signal-to-noise ratio, and that number is set by the incoherent sum of every noise power generated anywhere along the path, in whichever medium generated it. The metric that carries that sum on the planning side is the generalized signal-to-noise ratio (GSNR), and the composition rule it obeys is a reciprocal sum over spans. One accounting spans both media because the physics gives no other option.

Hollow-core fiber reached the point where this question is operational rather than academic. Record attenuation stands at 0.040 dB/km at 1550 nm (measured, reported at OFC 2026), a broadband double-nested anti-resonant design measured 0.091 dB/km at 1550 nm with loss below 0.2 dB/km across a 66 THz window (measured, peer-reviewed), production fiber ships at 0.10–0.15 dB/km, and hyperscale operators have moved from pilot links to multi-thousand-kilometre procurements. The practical deployment picture is set out separately in the MapYourTech readiness assessment of hollow-core fiber. What follows is the design-side counterpart: how the noise budget is written when a route holds both media, and how the feasibility decision is made from it.

Selective deployment, not wholesale replacement, is the shape the first decade of hollow-core fiber in transport networks will take. Fiber cost remains far above single-mode fiber, so operators convert individual spans rather than whole routes, and the question a planner faces is not whether hollow-core fiber performs better but which span to convert and what the conversion buys in decibels. Answering that requires a budget that treats each span in its own physics and then adds the results correctly.

The scope of this article is the physical-layer noise budget on optically transparent mixed-media routes using coherent transponders, from the definition of the metric through the per-span ledger, the launch-power decision on each medium, the end-to-end feasibility test, and the commissioning and monitoring steps a mixed route needs. Regeneration, restoration routing and the economics of fiber procurement bound the argument and are otherwise outside it. Every worked value carries forward from one section to the next, so the 520 km reference route defined in Section 4 is the route whose margin is tested in Section 7 and whose span ranking is derived in Section 8.

2. Generalized Signal-to-Noise Ratio Definition and Component Terms

Generalized signal-to-noise ratio is the ratio of per-channel signal power at the receiver to the total power of every additive noise source accumulated along the path, expressed in decibels referred to a 0.1 nm reference bandwidth. It differs from optical signal-to-noise ratio in counting nonlinear interference and inter-modal interference alongside amplified spontaneous emission, which makes it the quantity that a coherent receiver's reported signal-to-noise ratio tracks.

Anatomy of the generalized signal-to-noise ratio on one amplified span A single amplified span shown as transmitter, fiber, amplifier and coherent receiver. Three noise contributions - amplified spontaneous emission, nonlinear interference and inter-modal interference - are shown as separate cards feeding a shared bus into the receiver, where the generalized signal-to-noise ratio is defined. Two panels beneath give the defining reciprocal-sum relation and a worked value for an 80 km standard single-mode fiber span. GSNR Anatomy on a Single Amplified Span One signal power, three additive noise powers, one ratio measured at the coherent receiver Transmitter Launch power P per channel, dBm Fiber span Length L, attenuation α, span loss A = αL + lumped losses Amplifier Gain G, noise figure NF recovers span loss A Coherent receiver Reports SNR; GSNR is the planning-side equivalent ASE noise power Generated by every amplifier in the chain. Independent of launch power, so the ratio rises 1 dB per dB of P. Present on every span, both media NLI noise power Kerr-generated, scales as the cube of launch power, so the ratio falls 2 dB per dB of P. Proportional to γ² of the fiber. Dominant on SMF, near zero on HCF IMI noise power Higher-order mode light recombining with the fundamental. Scales with the signal, so the ratio is power-invariant. Absent on SMF, present on HCF noise powers add incoherently DEFINING RELATION GSNR = P / ( P_ASE + P_NLI + P_IMI ) and equivalently 1/GSNR = 1/OSNR_ASE + 1/SNR_NLI + 1/SNR_IMI Each term is a ratio of the same per-channel signal power to one noise power, so the reciprocals add. The span with the smallest GSNR contributes the largest reciprocal and therefore dominates the path total. Units: dB referred to a 0.1 nm (12.5 GHz) reference bandwidth at 1550 nm, the convention every planning tool and transponder datasheet uses. WORKED SPAN: 80 KM G.652.D AT 0 DBM PER CHANNEL Span loss A = 0.21 dB/km × 80 km = 16.80 dB. Amplifier noise figure NF = 5.5 dB. η = 135 /W² (planning value). OSNR_ASE = 58 + 0.00 − 16.80 − 5.50 = 35.70 dB SNR_NLI = −10 log₁₀(ηP²) = 38.70 dB 1/GSNR = 2.6915×10⁻⁴ + 1.3490×10⁻⁴ = 4.0405×10⁻⁴ GSNR = 33.93 dB SNR_IMI does not apply on SMF The result sits 1.77 dB below the ASE-only value, matching the 1.76 dB GN-model penalty at optimum launch power.
Figure 1: Anatomy of the generalized signal-to-noise ratio on one amplified span. The three noise powers are generated by different mechanisms and add incoherently at the receiver, so their reciprocal ratios sum. The worked panel carries an 80 km G.652.D span at 0 dBm per channel, the reference span used throughout this article.
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