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HomeAnalysisLatency, Capacity and Cost: Hollow-Core, Single-Mode and Multi-Core Fibre
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Latency, Capacity and Cost: HCF, SMF and MCF
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MapYourTech | InDepth Series

Latency, Capacity and Cost: Hollow-Core, Single-Mode and Multi-Core Fibre

One 80 km route held fixed, three transmission media, and the three numbers that decide between them, each carrying the evidence class of every input.

Outside Plant

Route length is the number the map does not give you.

What You Will Learn

  • Define the group index and separate it from the phase index, then convert 1.4682 into 4.8974 µs/km using the one-line relationship of Section 2, Figure 1.
  • Place the 80 km reference route: one amplified span, 96 channels on a 100 GHz grid, 800 Gb/s per channel, held identical across all three media (Section 4, Figure 3).
  • Quantify the delay difference the air core removes — 124.14 µs one way and 248.28 µs round trip at 80 km — and state why multi-core fibre removes none of it (Section 5).
  • Build the span-loss budget line by line and show why 39 hollow-core splices at 0.16 dB consume 40% of that budget against 11% on single-mode fibre (Section 6, Table 3).
  • Derive per-fibre capacity from usable bandwidth, spectral efficiency and core count, and separate the 76.8 Tb/s C+L result from the 307.2 Tb/s four-core result (Section 7).
  • Construct the four-line deployment cost model — civil works, fibre, splicing and terminations, transceivers — for an 80 km duplex path (Section 8, Table 5).
  • Convert total cost into cost per unit capacity and read the ranking: $12,816/Tb/s for four-core fibre against $52,038/Tb/s for hollow-core fibre in C+L (Section 9).
  • Select a medium against a stated constraint using the decision matrix of Section 9, Table 8, rather than against a single headline figure.

1. Introduction

A metro operator specifying an 80 km route in 2026 chooses between three transmission media that share a 125 µm cladding, fit the same duct, and behave nothing alike once the link is lit. Standard single-mode fibre to ITU-T G.652.D carries one optical path through germanium-doped silica. Anti-resonant hollow-core fibre carries one optical path through air, at a group index of 1.003 rather than 1.4682. Weakly coupled multi-core fibre carries four G.652-compatible paths inside one strand. Each medium moves a different number, and none of them moves all three.

Delay follows the group index and nothing else in the fibre. Capacity follows usable bandwidth multiplied by achievable spectral efficiency multiplied by the count of independent optical paths. Cost follows four line items in a fixed order of magnitude: civil works, fibre content, splicing and terminations, and transceivers. Those three dependencies are separable, which is what makes a like-for-like comparison possible at all. Hold the route length, the channel plan, the modulation format and the terminal equipment constant, change only the glass, and every difference that appears is attributable to the medium.

The comparison has become a live procurement question rather than a research topic. Microsoft Azure reports more than 1,280 km of live hollow-core infrastructure with 0.091 dB/km operational loss and no field failures (vendor claim), euNetworks operates roughly 87 km of production hollow-core routes serving trading customers in London and Bergamo (vendor claim), and AWS has confirmed hollow-core deployment at a small number of availability-zone interconnect sites (vendor claim). On the spatial side, the SDM4 multi-source agreement between AFL, Corning, Sumitomo Electric and TeraHop is preparing a four-core specification for short-reach O-band data centre links, with publication expected within months (vendor claim). Both media are past the demonstration stage and into the stage where someone has to defend a number in a budget review.

This article fixes one 80 km metro route and produces the latency, capacity and cost figures for all three media on that route, with the evidence class beside every input. Sections 2 and 3 establish the primitives. Sections 4 to 9 carry the arithmetic. Sections 10 to 13 cover field practice, measurement, fault isolation and standards status. Amplified multi-span long-haul design sits outside the scope, because a single-span route removes the cascade behaviour that would otherwise dominate the optical signal-to-noise ratio result and obscure the medium comparison. Readers working that side of the boundary will find the cascade treated separately in the MapYourTech material on C+L band amplifier cascades and tilt management.

2. Group Index and Propagation Delay per Unit Length

The group index ng is the dimensionless ratio between the speed of light in vacuum and the speed at which a modulated pulse envelope travels inside an optical waveguide. It has no unit. Multiplying the group index by route length and dividing by the vacuum speed of light gives propagation delay directly, in seconds, and this is the only optical property of a fibre that enters a latency budget at all.

Group index anatomy and propagation delay per unit lengthThree panels. The upper panel is a time axis from 0 to 5.5 microseconds showing the time light needs to cross one kilometre in vacuum, in hollow-core fibre and in standard single-mode fibre. The middle panel separates the phase index from the group index and lists both for each medium. The lower panel states the defining relationship, delay per unit length equals group index divided by the speed of light in vacuum, and works it through for standard single-mode fibre over eighty kilometres.TIME OF FLIGHT OVER ONE KILOMETRE012345elapsed time (µs)3.3356 µs/kmVacuumnɡ = 1.00003.3456 µs/kmHollow-core fibrenɡ = 1.0034.8974 µs/kmStandard single-mode fibrenɡ = 1.4682Multi-core fibre cores are step-index silica and sit on the single-mode marker; adding cores changes capacity, not delay.PHASE INDEXThe phase index n(λ) sets the speed of an optical carrier's phase fronts and fixes thereference wavelength inside the guide. It does not set the arrival time of a modulatedpulse.v = c / n — phase-front velocityReported by refractive-index profiling; the quantityquoted on a fibre datasheet as “refractive index”.GROUP INDEXThe group index nɡ sets the speed of the pulse envelope that carries the data, and isthe only index that appears in a latency budget. Material dispersion makes it largerthan the phase index.nɡ = n − λ · dn/dλFor G.652.D silica at 1550 nm the two differ by about0.0002, which is 0.06 µs over an 80 km route.DEFINING RELATIONSHIP AND WORKED INSTANTIATIONτ / L = nɡ / cdelay per unit length, in s/km when c is in km/s1.4682 ÷ 299 792.458 km/s = 4.8974 µs/km4.8974 µs/km × 80 km = 391.79 µs one wayRoute delay is the group index times the installed route length; the installed length exceeds the map distance by the cable slack and helix factor.End-to-end service latency adds transponder framing, forward error correction and digital signal processing, which are medium-independent and typically 3 to 12 µs per terminal.c = 299 792.458 km/s (standard-specified, SI definition of the metre) · nɡ values above are vendor-characterised typical figures and measured fibre results.
Figure 1: Group index anatomy. The upper panel places vacuum, hollow-core fibre and standard single-mode fibre on one time axis for a single kilometre; the lower panels separate the phase index from the group index and work the relationship through to the 80 km route figure.
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