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Fiber Optic Communications
Lecture 1
• Overview of optical fibers• Multi-mode fibers• Single-mode fibers• Graded Index (GRIN) fibers• Step-Index fibers• Numerical Aperture• Polarization-maintaining fibers• Fabrication
1/7/2019 ECE 695 - Peter Bermel - Purdue University
Fiber History
• 1854: John Tyndall guides light in a jet of water flowing from a tank
• 1930: Heinrich Lamm shows first image transmission through fiber bundle
• 1960: Lawrence Curtiss made first glass clad fiber (1000 db/km loss)
• 1970: Corning Glass Works demonstrates 20 dB/km @ 633 nm
• 1988: First transatlantic optical cable (TAT-8)
• 1996: First demonstration of photonic crystal fibers
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Milestones of undersea cables
1866 First undersea telegraph cablesNorth America to Europe17 words/minute, $5/word
1956 First undersea telephone cables (coax) 48 phone circuits
1983 4200 voice circuitsBW: ~ 10+1 MHz Repeater spacing ~ 9.5 km
1988-89 First undersea fiber optics cableThree fiber pairs, 280 Mb/s @1.3mmUpgraded to 2.5 Gb/s @ 1.55 mmRepeater spacing: ~ 50 kmErbium doped fiber amplifiers
0.35 Gm, 350,000 km
Undersea Cables
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TransAtlantic cables: 6000 to 7500 km(~ 2002)
G. MARRA ET AL/SCIENCE 2018
Global network of submarine fiber-optic cables
Existing cables are shown in purple; planned cables are in blue.
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Basic Fiber Types
• Standard telecom fibers
• Core pumped active fibers
• Double clad active fibers
• Hollow core Photonic bandgap fibers
• Photonic Crystal Fibers (PCFs)
Materials for Fiber Lasers
• Erbium (telecom, 1550 nm)
• Ytterbium (most fiber lasers – 1 µm)
• Erbium-Ytterbium (high power 1550nm systems)
• Thulium
• Neodymium
Applications
• Data transport
• Signal amplification in telecom networks
• Fiber lasers
• Supercontinuum sources
• Lighting and decoration
• Power transport
• Sensors (gyros, heat, tension)
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Standard Fiber
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Typical Telecom Fiber
Materials• Synthetic silica (base of
99% of all fibers)• ZBLAN (fluorozirconate glass:
mixture of zirconium, barium, lanthanum, aluminum, and sodium fluorides, ZrF4-BaF2-LaF3-AlF3-NaF)
• Polymers
For index control:• Index raising
– Aluminum– Germanium
• Index lowering– Flour– Boron
ncl = 1.44 to 1.46
(ncore – ncl)/ncore = 0.0010.021/7/2019 ECE 695 - Peter Bermel - Purdue University 8
Rayleigh scattering: from random localized variation of the molecular positions in glass which creates random inhomogeneities in indexInfrared absorption: from vibrational transitions
Absolute minimum at 1.55 micron, at 0.16dB/km, about 3.6% per km
From: http://www.tpub.com/neets/tm/106-14.htm
Propagation Loss in Fibers
Att
enu
atio
n d
B/k
m
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From: http://science.nasa.gov/newhome/headlines/msad05feb98_1.htm
Propagation Loss
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Numerical Aperture
The acceptance angle of the fiber to achieve TIR is:
This acceptance angle determines the cone of external rays that are guided by the fiber. The numerical aperture therefore describes the light-gathering capacity of the fiber.
Central core (light is guided)Outer cladding (lower index)
Cf. Sec. 9.1
Low-loss materials
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Step-Index Fibers
• The fractional index change between the core and cladding is quite small:
• Most fibers are made of high purity SiO2 glass. Slight changes in the refractive index are effected by adding low concentrations of doping materials such as titanium, germanium, or boron.
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Graded-Index Fibers
Rays in meridional planes follow oscillatory planartrajectories, whereas skewed rays follow helicaltrajectories.
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Graded-Index Fibers
Because different modes have different group velocities, one way to compensate is by using graded-index fibers.The refractive index of these fibers varies radially with the highest index in the middle of the fiber. Because rays in the center travel the least distance, speed of these modes are slowed by the higher index.
A grade profile parameter pdetermines the steepness of the
profile
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The V Parameter
• a : core radius
• λo : wavelength in vacuum
• n1 : the maximum refractive index of the core
• n2 : the refractive index of the cladding
• NA: The numerical aperture
• For single-mode operation is required that V < 2.405, which is the first root of the Bessel function J0
The V-number determines the number of modes in the fiber
𝑉 =2𝜋𝑎
𝜆𝑜𝑛12 − 𝑛2
2 =2𝜋𝑎
𝜆𝑜NA
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Single-Mode Fiber• Single mode operation is achieved via a small core diameter
and small Numerical Aperture (n2 is close to n1).
• The fundamental mode: Gaussian with the highestconfinement
• Only one mode - one group velocity - much higher data ratesare possible
• Single-mode fibers provide lower power attenuation(compared to multi-mode)
• Avoids unwanted random interference effects seen inmultimode fibers (known as modal noise or speckle)
Sec. 9.21/7/2019 ECE 695 - Peter Bermel - Purdue University 16
Single-Mode Fiber
As the V parameter increases (frequency or fiberdiameter increases), the effective refractive indexincrease from n1 to n2, meaning the mode is moreconfined to the core.
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w
k
Light-line of claddingw=ck/n1
Radiation modes
Light-line of corew=ck/n2
Guided modes
Guiding modes: exist between the light line of the cladding and light line of the core
Band Diagram: Standard Fiber
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w
k
Light-line of claddingw=ck/n1
Radiation modes
Light-line of corew=ck/n2
Guided modes
Fundamental mode
Higher order mode
The V-number determines the number of modes in the fiber
Lower and Higher Order Modes
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Fundamental mode Higher order mode
TE mode – when Ez = 0 TEM – both Ez, Hz = 0TM mode – when Hz = 0Hybride modes – when Ez, Hz 0 (HE - E, H of the same signs; EH - opposite)L – azimuthal mode number (azimuthal variations in fields)m – radial mode number (radial variations in fields)LP modes – linearly-polarized modes
Lower and Higher Order Modes
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Number of Modes
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Field patterns of various modes
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Intensity Distribution
Calculated intensity distribution for the modes guided by a step index fiber with V=7.1
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Polarization-Maintaining Fibers• In principle, there should be no change in polarization components within
the fiber. In practice, however, slight random imperfections and uncontrollable strains in the fiber result in random power transfer between the two polarizations. Linearly polarized light at the fiber input is generally transformed into elliptically polarized light at the fiber output.
• To avoid this, we do not use circular-shaped fiber. Instead, elliptical cross section or stress-induced anisotropy of the refractive index is employed, making the propagation constants of the two polarizations different.
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Preform Manufacturing
POCl4
GeCl4
SiCl4
Hydrogen burner
O2
Rotating glass tube
Fused silica Unfused silica
• The Modified Chemical Vapor Deposition (MCVD) process
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Alternative Processes
• Plasma Modified Chemical Vapor Deposition (PMCVD)
• Plasma Chemical Vapor Deposition (PCVD)
• Outside Vapor Deposition (OVD)
• Vapor-phase Axial Deposition VAD
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Fiber Drawing
Preform
Heating zone
Fiber Spool
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Fiber Drawing Tower
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