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Fibre Optic Calculation

This document provides an overview of fiber optic networking, including: - The advantages of fiber over copper cabling, such as higher bandwidth and immunity to electromagnetic interference. - The basic structure of fiber optic cable, which consists of a core, cladding, and buffer/outer jacket. - The two main types of fiber - multi-mode fiber, which supports multiple light paths in its core, and single-mode fiber, which only supports a single light path. - Key factors in calculating fiber loss and maximum distances, such as fiber types, wavelengths, and cable attenuation.

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0% found this document useful (0 votes)
463 views11 pages

Fibre Optic Calculation

This document provides an overview of fiber optic networking, including: - The advantages of fiber over copper cabling, such as higher bandwidth and immunity to electromagnetic interference. - The basic structure of fiber optic cable, which consists of a core, cladding, and buffer/outer jacket. - The two main types of fiber - multi-mode fiber, which supports multiple light paths in its core, and single-mode fiber, which only supports a single light path. - Key factors in calculating fiber loss and maximum distances, such as fiber types, wavelengths, and cable attenuation.

Uploaded by

sarifebruani
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 11

Table of Contents

Introduction .......................................................................................................................................................3
Fiber Advantages ............................................................................................................................................3
Fiber Cable Structure .....................................................................................................................................4
Multi-Mode Fiber............................................................................................................................................4
Single-Mode Fiber ..........................................................................................................................................5
Wavelengths ....................................................................................................................................................5

Fiber Standards.................................................................................................................................................6

Fiber Terminology ............................................................................................................................................6

Calculating Fiber Loss and Distance...............................................................................................................7


Fiber Loss Variables .......................................................................................................................................7
Fiber Loss Table .............................................................................................................................................8
Calculating Signal Loss ..................................................................................................................................8

Calculating Budget and Fiber Distances.........................................................................................................9

A Word on Modal Dispersion ........................................................................................................................10

Conclusion........................................................................................................................................................10
Additional Reference Information.................................................................................................................10
Contact IMC Networks..................................................................................................................................11
About IMC Networks.....................................................................................................................................11
A History of Technology Firsts .....................................................................................................................11

2
Introduction
Fiber optic networking can be a daunting undertaking, but it really is not as difficult as it seems.
Understanding factors such as fiber modes, fiber launch power, receive sensitivity, fiber cable
attenuation, and fiber budgets will make fiber installation projects run much smoother and more
efficiently.

Even though vendors try to simplify the task of calculating maximum fiber distances and signal losses,
in reality vendors do not typically have all of the variables (fiber characteristics, number of splices and
other physical parameters) necessary to accurately provide such distance and loss specifications for each
specific installation. The best any vendor can do is help customers identify the variables and provide
standard, industry accepted quantities for those variables to enable the customer to calculate the data
(distances, budgets, etc.) they need. A vendor's estimate is no substitute for an actual measurement.

This paper, combined with further assistance from IMC Networks' Fiber Consulting Services (FCS: 800-
624-1070 / 949-465-3000), will provide enough information to hit the ground running with virtually any
fiber networking project.

Fiber Advantages

Fiber is most commonly associated with long distance connection. Today, however, it is rapidly gaining
market share in LAN topologies, considered the domain of copper cabling. With the increase in size and
scope, LANs are connecting to Metropolitan Area Networks (MANs), Fiber To The Premises (FTTx) is
becoming a reality, pricing is coming down, installation is easier than in the past, and more and more
products supporting fiber are available every day. The rising popularity of fiber is owed mainly to the
following attributes:

 It has exceptional bandwidth, and can carry many signals concurrently


 It is immune to electromagnetic interference
 It has no electromagnetic emissions
 It does not corrode as rapidly as copper based cabling
 It is resistant to eavesdropping
 It is virtually "future proof"
 It has the capability to operate in conjunction with any current, or proposed, LAN/WAN standard
 It is lightweight

3
Fiber Cable Structure

Core Cladding Buffer


Duplex Fiber Cable

Fiber optic cable consists of three components:

 Core— a very narrow strand of high quality glass


 Cladding— again, made of high quality glass with a slightly different index of refraction (usually
within 1 - 2%) of the core
 Buffer/Outer Jacket— usually constructed from plastic and/or Coverall fibers (depending on the
specification and use for the fiber)

The light signal is injected into the fiber via an LED, VCSEL or laser in one of two ways: single-mode
or multi-mode. For installations demanding higher power/quality, laser transmitters are normally used.

Multi-Mode Fiber

This is the classic fiber optic cabling and is far and away the most prevalent fiber type in use today
inside buildings. It is the fiber type the IEEE, ANSI, TIA, and ISO standards organizations typically
define in fiber LAN specifications.

The most commonly installed core size is


62.5 micrometers (µm) and the outer
cladding size is 125 µm. Note: Other core
sizes available are 50 µm, 100 µm, etc.

 62.5/125 µm , 50/125 µm
 Multiple light paths
 Relatively inexpensive
 Modal-bandwidth limited
 Primarily used for LANs
125 µm
Cladding 62.5 µm
The 'multi' in multi-mode comes from the fact that
Core
light travels down the cable in multiple paths.
Essentially, the light beam is 'bounced' off the cladding
as it travels down the core. There are actually two distinct methods:

 Step index - the light path is irregular and highly angular


 Graded index - the light path is sinuous and regular in nature

Of the two methods, graded index is the current standard used by nearly all LAN/WAN equipment.
Because of the light transmission characteristics of multi-mode the quality of the fiber cable need not be
high. In addition, multi-mode transmitters are relatively inexpensive and plentiful.

4
Single-Mode Fiber

For more demanding applications a second fiber cable type - single-mode - is available. Single-mode
fiber uses a smaller core diameter, between 8 and 12 µm (9 being the average), with the same cladding
diameter as multi-mode.

 9/125 µm
 Single light path
 Somewhat more costly
 More difficult to terminate
 Essentially unlimited bandwidth
 Primarily used for MAN/WANs

Unlike multi-mode, single-mode fiber does NOT


take multiple paths. A single light beam is
125 µm
transmitted down the fiber and does not interact with Cladding
the cladding/core boundary. Until recently, single- 9 µm Core
mode was an expensive solution compared to multi-
mode. However, the price of the cable is now
nearing that of multi-mode and the active optics
required for single-mode are becoming less
expensive.

Wavelengths

There are several light wavelengths used for Ethernet:

 850 nm multi-mode: Standard for 10Base-FL 10 Mbps Ethernet and 100Base-SX 100 Mbps
Short Wavelength Ethernet. (See http://www.fols.org/alliance.html for more information on the
100 Mbps Short Wavelength Alliance.) Also used for 1000Base-SX Gigabit Ethernet.
 1300 nm multi-mode: Standard for 100Base-FX 100 Mbps Ethernet. Also used by other high-
speed LAN protocols such as FDDI, ATM/OC-3, etc.
 1310 nm single-mode: Standard for 1000Base-LX Gigabit Ethernet. Also commonly used for
applications where greater distance is required than can be achieved with multi-mode fiber.
 1550 nm single-mode: Not an Ethernet standard, but used extensively for long-haul
telecommunications at speeds of up to 40 Gbps (OC-768).

5
Fiber Standards
To further understand how fiber optics fit into a network, it is useful to have a basic knowledge of the
standards set by the IEEE (http://www.ieee.org). IEEE is a membership organization that includes
engineers, scientists and students in electronics and allied fields.

The following chart shows the different fiber optic standards as defined by the IEEE.
Data Rate IEEE Standard Max.
Standard Cable Type
(Mbps) † Distance
10Base-FL 10 Multi-mode: 850 nm; 50/125µm or 62.5/125µm 2 km
100Base-FX 100 Multi-mode: 1300 nm; 50/125µm or 62.5/125µm 2 km
100Base-SX* 100 Multi-mode: 850 nm; 50/125µm or 62.5/125µm 300 m
100Base-LX 100 Single-mode: 1310nm, 1550nm, 9/125µm 100 km
Multi-mode: 850 nm; 62.5/125µm 220 m
1000Base-SX 1000
Multi-Mode; 850 nm; 50/125µm 550 m
Multi-mode: 1300 nm; 50/125µm or 62.5/125µm 550 m
1000Base-LX 1000
Single-mode; 1310 nm; 9/125µm 2 km
1000Base-LH* 1000 Single-mode: 1550 nm; 9/125µm 70 km

* 100Base-SX (short wavelength multi-mode) and 1000Base-LH (long-haul single-mode) are not formally adopted
standards, but are commonly understood and used in fiber optic networking
† 4B5 encoding on Fast Ethernet and Gigabit Ethernet result in actual bit rates of 125 Mbps and 1250 Mbps
respectively

Fiber Terminology
Up to this point, this document has provided only very basic information on fiber optic cabling. More
information and consulting is available through IMC Networks’ Fiber Consulting Division (FCS).
Before getting into the actual fiber budget calculations, there are several commonly used terms that are
useful to know:

 Launch Power: This is the amplitude (or energy) of the light as it leaves the fiber transmitter.
This energy level is typically measured in decibels relative to 1 mW (dBm).
 Receive Sensitivity: This is the minimum energy required for the fiber receiver to detect an
incoming signal. This energy level is also measured in decibels relative to 1 mW (dBm).
 Receive Saturation: This defines the maximum power input before overdriving the receiver.
Overdriving the receiver can create data errors or failure to detect any data at all. This energy
level is measured in decibels relative to 1 mW (dBm).
 Fiber Budget: This is simply the result after subtracting the Receive Sensitivity from the Launch
Power. Power budgets are not a measure of energy and are measured in decibels (dB).
 Attenuation: Reduction of signal strength during transmission. Attenuation is the opposite of
amplification, and is normal when a signal is sent from one point to another. If the signal
attenuates too much, it becomes unintelligible, which is why most networks require repeaters at
regular intervals. Attenuation is measured in decibels.
 Modal dispersion (or intermodal dispersion): Occurs in multimode fibers, because light travels in
multiple modes (reflective paths), and each path results in a different travel distance. Modal
dispersion is a major distance limitation with multimode fibers.
6
Calculating Fiber Loss and Distance
From this point forward, all data transmitted over the fiber link is considered to be Full-Duplex (FDX).
It is critical to note that in a Half-Duplex (HDX) environment the timing considerations limit the fiber
link distances and these limitations apply no matter what fiber is being used.

Since there are two distinct types of fiber cable, and three commonly used wavelengths - 850 nm, 1300
nm and 1550 nm - the attenuation measurement will vary depending upon which cable and wavelength
is in use. Attenuation is measured in dB and is either quoted as attenuation in dB/km, or via an
attenuation chart giving the attenuation for the entire fiber run. Note that the decibel scale is logarithmic
- a loss of 99% of the light over a given length of fiber is expressed as "-20 dB", a loss of 99.9% is “-30
dB, etc.

Fiber Loss Variables

 Attenuation: Fiber cabling has losses from absorption and back reflection of the light caused by
impurities in the glass. Attenuation is a function of wavelength and needs to be specified for the
particular wavelength in use.
 Modal Dispersion: The higher the data rate, the shorter the distance the signal can travel before
modal dispersion creates an inability to accurately detect a "1" from a "0". Modal dispersion is
only a concern with multi-mode cable and is directly proportional to the data rate.
 Dispersive Losses: While single-mode fiber is not subject to modal dispersion, other dispersion
effects cause pulse spreading and limit distance as a function of data rate. Chief among these is
chromatic dispersion, where the broader spectrum of certain transmitter types can result in
varying travel times for different parts of a light pulse. Chromatic dispersion typically only starts
to become a limiting factor at Gigabit speeds.
 Splices: Although small and often insignificant, there is no perfect loss-less splice. Many errors
in loss calculations are made due to a failure to include splices. Average splice loss in single-
mode cable is usually less than 0.01 dB.
 Connectors: Like splices, there is no perfect loss-less connector. It is important to note that even
the highest quality connectors can get dirty. Dirt and dust can completely obscure a fiber light
wave and create huge losses. Typically, connector loss can vary from 0.15 dB (LC), to 0.5 dB
(ST-II). Using 0.5 dB loss per connector is commonly used and is the worst case scenario,
assuming a cleaned and polished connector is used. There will always be a minimum of two
connectors per fiber segment, so remember to multiply connector loss by two.
 Safety Buffer: It is common to add a couple dB of loss as a design margin. Allowing 2 to 3 dB
of loss can take fiber aging, poor splices, temperature and humidity, etc., into account and ensure
a solid system.

To determine minimum/maximum losses and maximum distances the above variables must be
identified. Failure to identify even one of these variables can create potential problems. The ideal
method in determining losses is to actually measure the losses once the fiber has been laid. Always test
and validate the losses once the fiber is laid. (Note that all calculations assume Full Duplex (FDX)
mode of operation.)

7
Fiber Loss Table

The numbers listed are averages, and are standard for new fiber. Numbers for any installation may vary.

Modal
Fiber Core Attenuation Attenuation Attenuation
Wavelength/Mode Bandwidth
Diameter per Kilometer* per Splice Per Connector
(MHz-km)
850 nm multi-mode 50 µm 2.40 dB 0.1 dB 0.75 dB 500
850 nm multi-mode 62.5/125 µm 3.00 dB 0.1 dB 0.75 dB 200
1300 nm multi-mode 50 µm 0.70 dB 0.1 dB 0.75 dB 500
1300 nm multi-mode 62.5/125 µm 0.75 dB 0.1 dB 0.75 dB 500
1310 nm single-mode 9 µm 0.35 dB 0.01 dB 0.75 dB N/A
1550 nm single-mode 9 µm 0.22 dB 0.01 dB 0.75 dB N/A

* Attenuation is based on published specifications for Corning’s InfiniCor and SMF-28 standard fiber

Calculating Signal Loss

There are commonly two different calculations required with fiber. Each assumes that there are known
values for different sets of variables.

 The maximum signal loss across a piece of pre-existing fiber.


 The maximum fiber distance given known budget and loss variables.

The first calculation below will calculate signal loss through a known length of fiber. Calculating
maximum signal loss is simply the sum of all worst case variables within a fiber segment. The numbers
shown in the table above are average losses. Actual losses could be higher or lower depending upon
many factors.

Fiber Loss Formula Example using 10 km run of 1310 SM fiber

Loss = (Fiber Attenuation x km) Loss = (0.35 dB x 10) = 3.50 dB


+ (Splice Attenuation x # of splices) + (0.01 dB/splice x 1) = 0.01 dB
+ (Connector Attenuation x # of connectors) + (0.75 dB/connector x 2) = 1.50 dB
+ (Safety Margin) + (3 dB Safety) = 3.00 dB

= Total Loss = 8.01 dB total loss

Calculating the signal strength exiting a cable is only half the job. To avoid overdriving a fiber receiver
and eliminate data loss problems it is equally important to calculate the maximum signal strength.
Overdriving a receiver is most common when using single-mode products with very low fiber
attenuation. It is safe to assume average numbers for fiber loss, but the actual losses should be measured
once the fiber has been deployed, to verify previous measurements and avoid performance problems.

Calculating fiber distance includes not only the loss variables described above, but requires the launch
power and receive sensitivity specifications on the fiber products. The equation can get a bit
complicated, as many vendors provide a launch power range. Therefore, when calculating distance, the
lowest launch power should be used to calculate a worst case distance. The highest specified launch
power is used to verify that the receiver is not being overdriven.
8
Calculating Budget and Fiber Distances
Distance is calculated first by calculating the power budget. This is found by subtracting the receive
sensitivity from the launch power.

Power Budget = (Launch Power) - (Receive Sensitivity)

For example, assume a fiber switch with a –17 dBm minimum launch power is connecting to a media
converter with a worst case receive sensitivity of 30 dBm:

Power Budget = (-17 dBm) - (-30 dBm) = 13 dB

It may seem odd that subtracting two numbers with dBm as the unit of measure results in a number with
dB as the unit of measure. This is because a dBm is a logarithmic ratio of power relative to 1 mW.
Subtraction of two logarithmic ratios is the equivalent of dividing the two power measurements directly,
resulting in a unitless number expressed in dB.

Because power budget can be calculated either using decibels or Watts, it is useful to know how to
convert between decibels (dBm) and Milliwatts (mW). The two formulas are shown below

To convert from dBm to mW (ex: -30 dBm): To convert from mW to dBm (ex: 0.020 mW):

mW =10(dBm/10) dBm = 10log10(mW)


=10(-30/10) = 10-3 = 0.001 mW = 10log10(0.020) = 10 x -1.7 = -17 dBm

The Power Budget formula can be expressed in mW rather than dBm. Using the dBm to mW
conversion shown above, -17 dBm becomes 0.020mW, -30 dBm becomes 0.001mW, and since
subtracting logarithms is the equivalent of dividing two regular numbers, the formula becomes:
Power Budget = 0.020 mW/0.001 mW = 20
This means the system can sustain a total loss of 95% of the transmitted light, or 1/20th of the
transmitted light must reach the receiver.

The use of dB and dBm as units allows addition and subtraction of reasonable-sized numbers rather than
multiplication and division of very large or very small numbers.

For a given power budget for 850nm 50 µm multi-mode fiber, and making some assumptions about the
number of splices and connections, it is possible to estimate the distance that a fiber of particular
specifications can run. For example, using the numbers from above:

Power budget = 13.00 dB


Losses from splices = -0.10 dB
Losses from connectors = -1.50 dB
Safety margin = -3.00 dB
Net Power Budget = 8.40 dB

If the fiber is specified at a loss not to exceed 2.5 dB/km:

(8.40 dB) / (2.5 dB/km) = 3.36 km

The fiber can be run for approximately 3.36 km before running out of signal strength at the end.
9
A Word on Modal Dispersion
Multi-mode cable tends to disperse a light wave unevenly and can create a form of jitter as the data
traverses the cable. This jitter tends to create data errors as the data rate increases. In addition to
calculating budget across multi-mode fiber, it is also necessary to calculate the losses resulting from
modal dispersion. The maximum length of fiber will be determined by distance calculation (above) or
by modal dispersion - whichever is lowest.

For example, assume the network is using 100 Mbps Fast Ethernet (which has an actual bit rate of 125
Mbps) across 850 nm multi-mode fiber. The modal dispersion of this multi-mode cable is 200 MHz-km.
Use the following equation to calculate the maximum distance of a 125 Mbps (MHz) Fast Ethernet
signal:
200 MHz-km
Distance = = < 1. 6 km
125 MHz

Similarly, calculating the maximum distance at a 10 Mbps Ethernet data rate:


200 MHz-km
Distance = = < 20.0 km
10 MHz

Conclusion
Working with fiber is easier than it seems. Termination and splicing techniques, and the new Small
Form Factor (SFP) connector and termination products have cut down significantly on the problems that
once plagued fiber specialists. Within the next couple years it is expected that the costs for integrating
fiber will be at par with Cat-5 or above cabling. Companies are justifying fiber as a way to future-proof
their networks. Companies such as IMC Networks are making it easier still by providing the products
and the information to quickly and easily step into fiber networking.

Additional Reference Information

IEEE - (Institute of Electrical and Electronics Engineers, New York). IEEE is a membership organization that includes
engineers, scientists and students in electronics and allied fields. Founded in 1963, it has more than 300,000 members and is
involved with setting standards for computers and communications.
http://www.ieee.org

TIA - (Telecommunications Industry Association) is the leading trade association in the communications and information
technology industry with proven strengths in market development, trade promotion, trade shows, domestic and international
advocacy, standards development and enabling e-business.
http://www.tiaonline.org

BICSI - A not-for-profit telecommunications association, BICSI is a world-wide resource for technical publications,
training, conferences, and registration programs for low-voltage cabling distribution design and installation. BICSI has over
20,000 members residing in 85 nations.
http://www.bicsi.org

Cabling Design - This site is created and maintained by members of the BICSI organization.
http://www.cabling-design.com

Cabling U Online - This site offers technical information and training for installers and users of communications cabling.
http://www.cableu.net

10
Contact IMC Networks
Fiber Consulting Services — fcs@imcnetworks.com FREE
E-mail Sales — sales@imcnetworks.com Fiber Consulting
E-mail Marketing — marketing@imcnetworks.com Services

1-800-624-1070 • 949-465-3000 • fcs@imcnetworks.com

About IMC Networks

IMC Networks is a leading ISO 9001 certified manufacturer of hardware for Local, Wide and
Metropolitan area network installations. IMC Networks provides copper-to-fiber and fiber mode
conversion products as well as fiber optic repeaters to help network installers maximize the capacity of
copper and fiber optic cabling infrastructures. In addition to the industry's widest variety of media
connectivity products, IMC Networks offers broadband access multiplexing, bandwidth management
and packet filtering products for ISPs and network managers. IMC Networks supports Ethernet, Fast
Ethernet, Gigabit Ethernet, Fibre Channel, ATM and T1/E1 networking technologies, with emphasis on
fiber optics.

A History of Technology Firsts

IMC Networks is a pioneer in many innovative product developments, and was the first to offer:

 Low cost packet filtering and bi-directional bandwidth control products for improving Internet
access
 Affordable solutions for IP multiplexing and bandwidth allocation
 A complete range of modular and scalable products to address fiber media including single-
mode, long-haul fiber requirements
 SNMP-manageable media conversion
 Modular chassis with embedded SNMP
 10/100 media conversion products
 Gigabit copper-to-fiber media conversion
 Modular Ethernet repeaters - a design concept widely used today
 USB-powered miniature media converters
 75Ohm CCTV to copper converters
 Compact, Industrial Ethernet Optical Demarcation devices

Copyright © 2009 IMC Networks. All rights reserved. The information in this document is subject to change without notice. IMC
Networks assumes no responsibility for any errors that may appear in this document. Specific product names may be trademarks or
registered trademarks and are the property of their respective companies.
IMC Networks IMC Networks IMC Networks
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Foothill Ranch, CA 92610 B-3200 Aarschot Belgium Clearwater, FL 33761
TEL: 949-465-3000 TEL: +32-16-550880 TEL: 727-797-0300
FAX: 949-465-3020 FAX: +32-16-550888 FAX: 727-797-0331 11
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www.imcnetworks.com

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