LVT-210 · Lesson 1 of 12 · 22 min

How optical fiber carries light

Maya's first two terms at Cobalt Line Systems were spent with copper: pulling, dressing, terminating and certifying four-pair cable on the Kellerman Building's sixth floor. In her fourth term she moves to the fiber crew. The crew is led by Hollis Tran, a journeyperson who has spliced and tested fiber for nineteen years, from campus backbones and hospital risers to the long outdoor routes between buildings. Hollis's first rule for apprentices is that nobody touches a cleaver or a fusion splicer until they understand what is happening inside the glass, because every installation practice in this course follows from it.

This course follows the fiber crew's work through one season. The first three lessons cover how fiber works, the fiber and cable types and the safety rules. Lessons 4 to 9 follow the installation: pulling cable, managing it in enclosures, connectors, field termination, fusion splicing, and cleaning and inspection. Lessons 10 and 11 cover the two tiers of testing: loss testing with a light source and power meter, and OTDR testing. The capstone builds and certifies the Riverside school's campus backbone between the main building and the gymnasium, the route that LVT-120 designed. LVT-120 lesson 8 introduced fiber in the structured cabling system; this course turns that overview into hands-on work.

Why fiber

Copper carries a signal as voltage and current on a pair of conductors. Fiber carries it as pulses of light in a strand of glass about the thickness of a human hair. Light in glass loses very little energy over distance and is not affected by electrical noise, lightning, ground potential differences or the power cables running beside it. A singlemode link can carry data tens of kilometers without amplification, where a copper channel is limited to 328 ft. That is why backbones between rooms and buildings are almost always fiber, and why the horizontal copper on a floor ends at a room that the fiber connects to the rest of the building.

Fiber also weighs less, takes less space and carries no electrical energy. A 24-strand singlemode cable is smaller than a single Category 6A cable and can carry more traffic than the whole floor of copper it serves. The cost is that glass is less forgiving of poor workmanship. A copper jack that is slightly untwisted still works and shows up as a reduced margin. A fiber end face with a speck of dust on the core, or a cable bent too tightly around a corner, can lose most of the light.

  • Bandwidth: one fiber pair can carry 10, 40, 100 Gb/s and more, depending on the electronics at the ends.
  • Distance: multimode links reach hundreds of meters; singlemode links reach many kilometers.
  • Immunity: no electromagnetic interference, no ground loops and no lightning paths between buildings when the cable is dielectric.
  • Size and weight: high strand counts in small cables, and less load on trays and supports.
  • Security: fiber does not radiate a signal that can be picked up nearby.

Light as a signal

A transmitter converts the electrical data signal into light. In short-reach multimode systems, the source is usually a vertical-cavity surface-emitting laser, called a VCSEL, operating at 850 nm. In singlemode systems, the source is a laser at 1310 nm or 1550 nm. These wavelengths are infrared and invisible to the eye, a fact that matters for safety, as lesson 3 explains. At the far end, a photodiode converts the light back into an electrical signal.

The wavelengths are not chosen at random. Glass absorbs and scatters light differently at different wavelengths, and the losses are lowest in a few bands called windows. The 850 nm window is used for multimode because inexpensive sources work there. The 1310 nm and 1550 nm windows are where singlemode glass has its lowest loss, and 1550 nm is also where the fiber is most sensitive to bending, which installers use to their advantage when testing, as lessons 10 and 11 show.

Power in fiber systems is measured in decibels relative to one milliwatt, written dBm. Zero dBm is one milliwatt; minus 10 dBm is a tenth of a milliwatt; minus 20 dBm is a hundredth. A typical short-reach transmitter launches somewhere between −1 and −7 dBm, and a receiver might work down to about −10 to −14 dBm. Loss in a link is measured in plain decibels, dB, because it is a ratio. Every 3 dB of loss halves the power; 10 dB leaves a tenth of it.

\[P_{dBm} = 10 \log_{10} \frac{P}{1 \text{ mW}}\]

Inside the strand: core, cladding and coating

An optical fiber has three layers. The core, at the center, carries the light. Around it is the cladding, also glass, with a slightly lower refractive index. Together, the core and cladding are 125 µm in diameter for almost every telecommunications fiber. Around the cladding is a protective acrylate coating, usually 250 µm in diameter, or 200 µm in some reduced-coating fibers used in high-count cables. The coating protects the glass from scratches and moisture; it is stripped off before cleaving and splicing.

The core diameter decides the fiber type. Multimode fiber has a core of 50 µm in all modern grades, or 62.5 µm in older installations. Singlemode fiber has a core of about 8 to 9 µm. That difference, roughly six times in diameter and thirty times in area, explains most of the difference in how the two types are handled. A tiny misalignment at a singlemode connector or splice that would barely matter in multimode can cost a large fraction of the light.

A cross-section of an optical fiber shown as three concentric circles, with labels for the core, the cladding at 125 micrometers and the coating at 250 micrometers. Beside it, two smaller drawings compare the core sizes: a multimode core of 50 micrometers fills a large part of the cladding, while a singlemode core of about 9 micrometers is a small dot at the center.
The layers of an optical fiber. The cladding is the same diameter in multimode and singlemode fiber; the core is not.

Refraction and total internal reflection

Light travels more slowly in glass than in air. The ratio of the speed of light in a vacuum to its speed in a material is the refractive index, n. Air is about 1.000, and the glass in a fiber core is about 1.47 to 1.48. When light crosses a boundary between two materials at an angle, it bends; this is refraction, described by Snell's law. If light inside a material with a high index meets a boundary with a material of lower index at a shallow enough angle, it does not cross at all: it is reflected entirely back. This is total internal reflection, and it is what keeps light in the core.

The core of a fiber has a slightly higher refractive index than the cladding, typically by about one percent or less. Light that enters the core within a certain cone of angles strikes the core-cladding boundary at a shallow enough angle to be reflected each time, and is guided along the fiber. Light that enters outside the cone passes into the cladding and is lost. The half-angle of that cone is the acceptance angle, and the sine of it is the numerical aperture, NA.

\[NA = \sin \theta_{max} = \sqrt{n_1^2 - n_2^2}\]

Here n₁ is the refractive index of the core and n₂ that of the cladding. Multimode fiber has an NA of about 0.20, singlemode about 0.12 to 0.14. A larger NA means the fiber accepts light from a wider cone, which is why multimode fiber can be used with cheaper, less precisely aimed sources. The code below calculates the critical angle, the NA and the acceptance angle for representative indices, and the time light takes to travel along the Riverside campus route.

import math
# Critical angle, numerical aperture and acceptance angle for two fiber types
types = {"multimode (50 um core)": (1.4800, 1.4664),
         "singlemode (9 um core)": (1.4677, 1.4624)}
for name, (n1, n2) in types.items():
    crit = math.degrees(math.asin(n2 / n1))
    na = math.sqrt(n1**2 - n2**2)
    accept = math.degrees(math.asin(na))
    print(f"{name}: critical angle {crit:.1f} deg, NA {na:.3f}, acceptance half-angle {accept:.1f} deg")

# How long does light take to cross the campus route?
C = 299_792_458          # speed of light in a vacuum, m/s
route = 1050          # length, ft
meters = route * 0.3048
for n in (1.4677, 1.4800):
    t_us = meters * n / C * 1e6
    print(f"group index {n}: {route} ft in {t_us:.2f} microseconds")
Output
multimode (50 um core): critical angle 82.2 deg, NA 0.200, acceptance half-angle 11.5 deg
singlemode (9 um core): critical angle 85.1 deg, NA 0.125, acceptance half-angle 7.2 deg
group index 1.4677: 1050 ft in 1.57 microseconds
group index 1.48: 1050 ft in 1.58 microseconds

Light crosses the 1,050 ft route in about one and a half microseconds. The figure matters later, because an OTDR measures distance by timing light pulses and converting the time to length with exactly this relationship. The critical angles also show how small the margin is: light must strike the boundary within a few degrees of grazing to stay in the core. A tight bend changes the angle of the boundary and lets light escape, which is the subject of the next section.

A long horizontal fiber core between two cladding layers. A ray enters from the left inside a shaded acceptance cone and zigzags along the core, reflecting at each boundary. A second ray entering outside the cone crosses into the cladding and fades. On the right, the fiber bends sharply downward and one reflected ray strikes the outer boundary too steeply and escapes, labeled as bend loss.
Light inside the acceptance cone is guided by total internal reflection. At a tight bend, rays strike the boundary too steeply and escape.

Modes, dispersion and why multimode reach is limited

In a large core, light can travel along many paths at once: straight down the middle, or zigzagging at different angles. Each allowed path is called a mode. A multimode fiber carries hundreds of modes; a singlemode fiber, with its tiny core, carries only one. Paths of different lengths take different times, so a short pulse launched into a multimode fiber arrives spread out. This is modal dispersion, and it is what limits how fast and how far a multimode link can run before one pulse blurs into the next.

Modern multimode fiber reduces modal dispersion with a graded-index core. Instead of a sharp step in refractive index at the core edge, the index is highest at the center and falls gradually toward the cladding. Rays that travel the longer zigzag paths spend more time in the outer, lower-index glass where light moves faster, so they catch up with the rays traveling straight down the center. The quality of that grading is what separates the OM grades of multimode fiber, described in lesson 2, and it is expressed as the fiber's modal bandwidth.

Singlemode fiber has no modal dispersion because it carries only one mode. Its limit is chromatic dispersion: different wavelengths in the source travel at slightly different speeds. Chromatic dispersion matters for long-haul links at high speeds, but for the distances in buildings and campuses, singlemode fiber has effectively unlimited bandwidth. That is the main reason designers like Sanjay specify singlemode for new backbones: the glass will not be the limit for any foreseeable upgrade.

Multimode and singlemode fiber compared.
PropertyMultimodeSinglemode
Core diameter50 µm (older 62.5 µm)about 8 to 9 µm
Cladding diameter125 µm125 µm
Typical NAabout 0.20about 0.12 to 0.14
Operating wavelengths850 nm and 1300 nm1310 nm and 1550 nm
Main bandwidth limitModal dispersionChromatic dispersion, rarely limiting in buildings
Typical sourcesVCSELs, inexpensiveLasers, more expensive
Typical useInside buildings and data centers, short linksBackbones, campuses, long links, new installations

Where light is lost

Every link loses some light between the transmitter and the receiver. The installer's job is to keep that loss small and predictable. The causes fall into two groups: losses in the glass itself, which the installer cannot change, and losses at bends, connectors and splices, which are almost entirely the result of workmanship.

  • Attenuation in the glass: absorption by impurities and scattering from tiny variations in the glass, measured in dB per kilometer. It is lowest at 1550 nm in singlemode fiber.
  • Macrobending: a visible bend tighter than the fiber's rated radius, such as a cable pulled around a sharp corner or a strand coiled too tightly in a splice tray.
  • Microbending: tiny distortions of the fiber axis from crushing, a tight cable tie, or a cable squeezed against an edge. It can add loss along a whole length.
  • Connectors: light crossing a gap between two end faces, losing some from misalignment, dirt and reflection.
  • Splices: two fibers fused or held together, with a small loss from core misalignment.

Bending loss is worse at longer wavelengths, because the light's field extends further into the cladding. A singlemode fiber that is bent slightly too tightly may show almost no extra loss at 1310 nm and a clear loss at 1550 nm. Testing at both wavelengths and comparing the results is the standard way to find bends, and Hollis checks that difference on every singlemode link she tests.

Bend-insensitive fibers, which the standards call bend-loss-reduced fibers, tolerate much tighter bends than older glass. Most new multimode and singlemode fiber installed in buildings is of this type. They are a real benefit in crowded enclosures and pathways, but they do not remove the mechanical bend radius limits of the cable itself, which protect the glass from breaking. Hollis tells her apprentices to treat every fiber as if it were the old, sensitive kind.

The fiber crew and the season ahead

Hollis's crew this season is three people: Hollis, Maya and a second-year apprentice, Teo Barros. Dev Malhotra, who mentored Maya through her first terms, now leads the copper work at St. Brendan's Hospital, and the fiber crew will meet him there. Sanjay Iyer designed most of the routes the crew will build, and Colette Brennan manages the projects and the schedule. Greta Lindqvist reviews every safety plan.

The fiber crew's jobs this season.
JobFiber workLessons
Kellerman Building24-strand singlemode backbone from the entrance room to room 6A, terminated with splice-on pigtails2, 5, 6, 7
Juniper Point condominiumExisting 12-strand OM3 riser, new enclosures and a live cut-over3, 9
St. Brendan's HospitalPre-terminated MPO trunks in the new data room, and a diverse second riser6, 7, 10
Hartwell warehouseA fiber-fed wall enclosure at the far end of the building4, 8
Riverside school24-strand singlemode and 12-strand OM4 campus route to the gymnasium4, 5, 8, 10, 11, 12

Worked problem

Power left at the receiver

A transmitter launches −3.0 dBm into a link with 2.4 dB of total loss. What power reaches the receiver, in dBm and in microwatts?

Show solution
  1. Received power in dBm is launch power minus loss: −3.0 − 2.4 = −5.4 dBm.
  2. Convert to milliwatts: P = 10 raised to the power of (−5.4 ÷ 10) = 0.288 mW.
  3. In microwatts that is about 288 µW.

Answer: The receiver sees about −5.4 dBm, or roughly 288 µW, a little more than half the launched 501 µW.

Common mistakes

  • MistakeTreating fiber like copper: if it lights up, it works.

    InsteadA link can pass light and still exceed its loss budget; it must be measured.

  • MistakeAssuming bend-insensitive fiber can be bent without limit.

    InsteadThe cable's bend radius still protects the glass and must be respected.

  • MistakeTesting singlemode at one wavelength only.

    InsteadTest at 1310 nm and 1550 nm; a difference reveals bends.

  • MistakeAdding dBm values together.

    InsteadAdd and subtract dB of loss from a power in dBm; two dBm powers are not added directly.

  • MistakeForgetting that the core is tiny.

    InsteadSmall misalignments and specks of dirt matter, above all in singlemode.

Summary and key terms

  • Fiber carries data as pulses of infrared light, with low loss, high bandwidth and no electrical interference.
  • A fiber has a core, a cladding of 125 µm and a coating of 250 µm; multimode cores are 50 µm, singlemode about 9 µm.
  • Total internal reflection keeps light inside the core when it enters within the acceptance cone, whose sine is the numerical aperture.
  • Multimode fiber carries many modes and is limited by modal dispersion; graded-index cores reduce it.
  • Singlemode fiber carries one mode and is not bandwidth-limited at building and campus distances.
  • Light is lost in the glass, at bends, at connectors and at splices; bend loss is greater at longer wavelengths.
  • Power is measured in dBm and loss in dB; every 3 dB halves the power.
Core
The central glass region of a fiber that carries the light.
Cladding
The glass layer around the core, with a lower refractive index, normally 125 µm in diameter.
Refractive index
The ratio of the speed of light in a vacuum to its speed in a material.
Numerical aperture
The sine of the acceptance half-angle; a measure of how wide a cone of light a fiber accepts.
Mode
One of the paths along which light can travel in a fiber.
Modal dispersion
Spreading of a pulse because different modes take different times to travel the fiber.
dBm
Optical power in decibels relative to one milliwatt.
Macrobend
A visible bend tighter than the rated radius, causing loss.

Practice problems

Work each problem on paper first, then reveal the answer to check.

  1. A source launches −2 dBm into a link with 3 dB of loss. What arrives?

    Show answer

    −5 dBm, about half of the launched power.

  2. A core has n = 1.470 and the cladding n = 1.455. What is the NA?

    Show answer

    √(1.470² − 1.455²) ≈ 0.209.

  3. Why is singlemode chosen for most new backbones?

    Show answer

    Its bandwidth is not a limit at building and campus distances, so it will carry future upgrades.

  4. A link shows 0.4 dB more loss at 1550 nm than at 1310 nm. What does that suggest?

    Show answer

    A bend somewhere in the link.

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