Comm Notes
Optical fiber as transmission medium, single-mode and multi-mode fiber, total internal reflection, bandwidth, and applications
Optical Fiber: The Ultimate Transmission Medium
Optical fiber transmits information as pulses of light through thin strands of ultra-pure glass, achieving bandwidths and distances that no electrical medium can match. A single fiber thinner than a human hair can carry more data than all the radio spectrum combined. Optical fiber forms the backbone of the global internet, carrying over 95% of intercontinental data traffic through submarine cables spanning ocean floors.
How Optical Fiber Works
Think of it this way: shine a flashlight into a long, clear tube of water at a shallow angle — the light bounces along inside the tube, guided from one end to the other without escaping through the walls. Optical fiber works on this same principle of total internal reflection, but using ultra-pure glass instead of water and laser light instead of a flashlight.
Total Internal Reflection (TIR): When light travels from a denser medium (higher refractive index, n₁) to a less dense medium (lower refractive index, n₂) at an angle greater than the critical angle, it reflects completely — no light escapes:
Critical angle: θc = sin⁻¹(n₂/n₁)
For typical fiber: n₁ (core) = 1.48, n₂ (cladding) = 1.46 θc = sin⁻¹(1.46/1.48) = 80.6° (measured from the fiber axis, this means light at angles less than 9.4° from the axis will propagate)
Fiber Structure
Core: The central light-carrying region
- Single-mode: 8-10 μm diameter
- Multi-mode: 50 or 62.5 μm diameter
- Material: Ultra-pure silica glass (SiO₂) with dopants to adjust refractive index
Cladding: Surrounds the core, slightly lower refractive index
- Diameter: 125 μm (standard for all types)
- Provides the refractive index boundary for TIR
- Also provides mechanical support
Buffer/Coating: Protective layers
- Primary coating: Acrylate (250 μm diameter) — protects from micro-bending
- Secondary coating or tight buffer (900 μm) — for indoor cables
- Outer jacket, strength members (Kevlar), armor for outdoor cables
Single-Mode vs. Multi-Mode Fiber
Single-Mode Fiber (SMF):
- Core so small (8-10 μm) that only one mode (ray path) can propagate
- Attenuation: 0.2 dB/km at 1550 nm (extraordinary — 95% of light remains after 1 km)
- Bandwidth: Effectively unlimited for practical purposes (THz range)
- Distance: 100+ km without amplification; 10,000+ km with EDFA amplifiers
- Applications: Telecommunications backbone, submarine cables, FTTH
- Cost: Fiber itself cheap, but transceivers (lasers) more expensive
Multi-Mode Fiber (MMF):
- Larger core (50/62.5 μm) allows many modes (ray paths) to propagate simultaneously
- Attenuation: 2-3 dB/km at 850 nm
- Bandwidth: 500 MHz·km (OM3) to 4700 MHz·km (OM5)
- Distance: 300m (10 Gbps) to 100m (100 Gbps)
- Applications: Data center interconnects, campus backbone, enterprise LAN
- Cost: Cheaper transceivers (VCSEL LEDs work), easier alignment
Fiber Attenuation
Signal loss in optical fiber comes from:
Absorption: Glass impurities (especially OH⁻ ions) absorb certain wavelengths Rayleigh scattering: Microscopic glass density variations scatter light (proportional to 1/λ⁴) Bending loss: Sharp bends allow light to escape the core
Attenuation by wavelength:
- 850 nm (first window): ~2.5 dB/km — used for short multi-mode links
- 1310 nm (second window): ~0.35 dB/km — zero dispersion wavelength
- 1550 nm (third window): ~0.2 dB/km — minimum attenuation, used for long-haul
The 1550 nm window is remarkable: a signal loses only 4% of its power per kilometer. This enables submarine cables spanning 10,000+ km with amplifiers every 50-80 km.
Dispersion: The Bandwidth Limiter
Even without attenuation, pulse spreading (dispersion) limits data rate:
Modal dispersion (multi-mode only): Different modes travel different path lengths
- Causes pulse spreading proportional to length
- Graded-index MMF reduces this by equalizing mode velocities
- Not present in single-mode fiber
Chromatic dispersion (all fibers): Different wavelengths travel at different speeds
- Zero at ~1310 nm for standard fiber (why that wavelength was chosen for early systems)
- At 1550 nm: ~17 ps/(nm·km) for standard fiber
- Compensated by: dispersion-compensating fiber, fiber Bragg gratings, or digital signal processing
Polarization Mode Dispersion (SMF): Birefringence causes two polarization states to travel at slightly different speeds
- Typically 0.1-1 ps/√km
- Relevant only for very high-speed (40+ Gbps) long-distance systems
Bandwidth-Distance Product
The practical capacity is expressed as bandwidth × distance:
| Fiber Type | Bandwidth-Distance Product |
|---|---|
| Multi-mode OM1 | 200 MHz·km (62.5 μm) |
| Multi-mode OM3 | 2000 MHz·km (50 μm) |
| Multi-mode OM5 | 4700 MHz·km (wideband) |
| Single-mode | >100 GHz·km (dispersion limited) |
Applications
- Telecommunications backbone: 100% of long-distance (>10 km) telecom uses fiber
- Submarine cables: 400+ cables spanning all oceans, carrying 95%+ of intercontinental data
- FTTH (Fiber to the Home): GPON/XGS-PON delivering 1-10 Gbps to residences
- Data centers: Inter-rack and inter-building connections at 25-400 Gbps
- 5G fronthaul/backhaul: Connecting radio units to central processing
- Sensing: Fiber Bragg gratings for structural health monitoring, temperature sensing
Key Takeaways
- Optical fiber guides light through total internal reflection in an ultra-pure glass core, achieving the lowest transmission loss of any medium (0.2 dB/km).
- Single-mode fiber (8-10 μm core) supports virtually unlimited bandwidth over hundreds of kilometers — the foundation of global telecommunications.
- Multi-mode fiber (50 μm core) offers lower-cost connections over shorter distances (data centers, campus) using cheaper VCSEL transceivers.
- Attenuation minimum at 1550 nm (0.2 dB/km) enables transoceanic cables with amplifier spacing of 50-80 km.
- Dispersion — not attenuation — is typically the bandwidth-limiting factor for single-mode systems, manageable through compensation techniques or DSP.
- Optical fiber carries over 95% of global data traffic and is expanding into access networks (FTTH), positioning it as the ultimate future-proof infrastructure investment.
Exam Focus
Revise definitions, diagrams, examples, and short-answer points for Optical Fiber.
Interview Use
Prepare one clear explanation, one practical example, and one common mistake for this Communication Systems topic.
Search Terms
communication-systems, communication systems, communication, systems, transmission, media, optical, fiber
Related Communication Systems Topics