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City of Light: The Story of Fiber Optics

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‘‘THE ONLY THING LEFT IS OPTICAL FIBERS’’ 115<br />

<strong>of</strong> the prestigious Bell Labs. Responsible journalists knew they should trust<br />

such authoritative sources. When the Kao and Hockham paper finally appeared,<br />

it also made no discernible mark even in the technical press.<br />

No Silver Medals for Invention<br />

<strong>The</strong> French followed the same trail after Spitz talked the French Ministry <strong>of</strong><br />

Defense out <strong>of</strong> a small grant, but they lagged behind STL. Werts modeled light<br />

transmission along a fiber ‘‘surface’’ with 1.4-millimeter microwaves, the<br />

shortest wavelength available. <strong>The</strong>n he calculated how light should travel<br />

through a clad single-mode optical fiber. Only after Werts started did Spitz<br />

discover Snitzer’s careful analysis <strong>of</strong> fiber modes. Werts had to make his own<br />

laser for fiber-transmission experiments, buying mirrors from America and<br />

filling a glass tube with helium and neon.<br />

<strong>The</strong> Decibel Score<br />

Decibels are very handy units for engineers evaluating signal strength but can<br />

be quite confusing to other people. If you want to avoid complexity, you can<br />

think <strong>of</strong> decibels as a way <strong>of</strong> keeping score. In fiber optics, they usually measure<br />

how much <strong>of</strong> the signal is lost when being transmitted. Lower loss is better, so<br />

lower decibel numbers are better. Engineers usually measure transmission loss<br />

per kilometer <strong>of</strong> fiber, so the standard units are decibels per kilometer. Metric<br />

units are standard for the research and development community, but you needn’t<br />

worry too much about them. <strong>The</strong> relative scores for fibers are the same whether<br />

the loss is measured per kilometer, per foot, per mile, or per light year. (<strong>The</strong><br />

numbers, however, are quite different. Kilometers are used here because they’re<br />

the most common scale.)<br />

Strictly speaking decibels measure the ratio <strong>of</strong> output power to input power<br />

on a logarithmic scale. <strong>The</strong> formula used for fiber optics is<br />

� �<br />

power out<br />

decibels � 10 log .<br />

power in<br />

For optical fibers, the number is negative because power output is less than<br />

input, but the sign is usually ignored. (<strong>The</strong> only way to have higher output is in<br />

an optical amplifier.)<br />

Decibels greatly simplify engineering calculations because you can find total<br />

loss by multiplying fiber loss in decibels per kilometer by the length <strong>of</strong> a fiber.<br />

For example, 50 kilometers <strong>of</strong> 0.5 decibel/kilometer fiber has a 25-decibel<br />

loss. However, because the scale is logarithmic, it’s easy to underestimate the<br />

impact <strong>of</strong> loss measured in decibels. Loss <strong>of</strong> 10 decibels means one-tenth <strong>of</strong> the<br />

signal remains. Loss <strong>of</strong> 20 decibels means only one percent remains, while loss<br />

<strong>of</strong> 100 decibels means only 10 �10 (0.000,000,000,1) remains. <strong>The</strong> table<br />

below gives some examples, with physical analogies that may be helpful.

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