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FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

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sink fiber. Likewise angular misalignment can lead to<br />

a portion of the light from the source fiber entering<br />

the aink fiber at angles that will not allow trapping<br />

in the core. Finally, losses can occur due to lateral<br />

offset between two fibers because they are not properly<br />

aligned or their cores are not concentric with respect<br />

to the outer diameter of the fiber even when the outer<br />

surfaces of the cladding are properly aligned. In general,<br />

fibers are lined up by their outer surfaces.<br />

There are a number of other extrinsic effects that are<br />

not indicated here. The fiber end might not be smooth.<br />

‘rhis can lead to scattering loaaea. The fiber ends<br />

may not be flat cauaing lensing effects to occur. Thus,<br />

it is esaential that care be taken in the manufacture<br />

or acquisition of optical fibers, connectors, and<br />

splicea in order to inaure that the intrinaic and extrinsic<br />

leases are or can be minimized. h effect that<br />

can be corrected easily ia reflection from the ends of<br />

both fibers due to refractive index difference between<br />

glass and air. For silicon dioxide (Si02) this reaulta<br />

in a 0.4 dB loaa. In order to correct thia it is only<br />

nesaary to employ an index-matching liquid or potting<br />

material between the ends of the two fibera being buttjoined.<br />

the same fiber. For a fiber with a 50-micron core it<br />

would be necessary to hold the dimensions to + 5<br />

microns, but when dealing with singlemode fibers w~th<br />

a 5 micron core or less it is necessary to hold the diametera<br />

to within a half a micron. Differences in numerical<br />

aperature also need to be controlled accurately,<br />

however in general, refractive indices are being controlled<br />

within and among fibers to within a variation<br />

of only a few percent. Thua, the primary problem is<br />

the variation in the core diameter among fibera and<br />

within the aame fiber.<br />

The effect of the mismatch between either the<br />

core areas or the fiber numerical apertures is shown in<br />

Fig. 3.2. A problem exista when a source fiber with a<br />

1.0<br />

0.8<br />

0.6<br />

~ 0.2<br />

rn<br />

S 01<br />

~ 0.08<br />

0.06<br />

0.04<br />

0.02<br />

0.001 A I 1 1 I 1 1<br />

2 4 6 8 10 12 14<br />

PERCENT OF DIFFERENCE IN CORE DIAMETERS<br />

OR FIBERNA<br />

Fig. 3.2 Approximate losa in dB due to larger-tosmaller<br />

core diameter difference or fiber<br />

numerical aperture difference for two buttjoined<br />

optical fibers.<br />

larger core or larger numerical aperture ia joined to<br />

a aink fiber with a smaller core or a smaller numerical<br />

aperture. Furthermore, as their difference in numerical<br />

aperturea or core diameters is increased, the loss<br />

will increase. The curves in Fig. 3.2 ahow the optical<br />

power loaa in dB as a function of either the percentage<br />

difference in core diameters of larger source cores<br />

butt-joined to amaller aink corea, or source fibers<br />

with larger numerical apertures butt-joined to aink<br />

fibers with amaller numerical aperturea. These specific<br />

curves actually apply to step-index fibers but the general<br />

trenda shown are also true for graded-index fibers.<br />

A 10% mismatch in either the core diameters (larger to<br />

amaller) or the numerical aperturea (larger-to-amdler)<br />

would cauae approximately a 0.5 dB loss. For the larger<br />

multimode fibers it is not a difficult problem to maintain<br />

diameters to within 10% of each other or within<br />

3-2<br />

Fig. 3.3<br />

The extrinsic leas due to end separation for<br />

atep-index fibers is shown in Fig. 3.3. The core diab<br />

01 0.2 0.3 0.4 0.5<br />

END SEPARATION (S/D)<br />

Variation of connector power loss with endseparation-distance-to-diameter<br />

ratio between<br />

two atep-index air-gap optical fiber<br />

ends for several valuea of numerical aperture<br />

(N.A.).<br />

meter ia indicated by D and the separation by S. The<br />

coupling leas in dB is plotted as a function of S/D.<br />

This effect is alao a function of numerical aperture.<br />

The greater the numerical aperture (NA) the greater the<br />

spreading of light from the source fiber and therefore<br />

the larger the percentage of light that will miss the<br />

core of the aink fiber. In thia figure, results are<br />

plotted for NA ranging from 0.15 to 0.50. For the<br />

fibera used in fiberoptic sensora the NA of Intereat<br />

is below 0.20 and in fact more nearly 0.15. In thia<br />

case, as can be seen in Fig. 3.3, a difference of 10%<br />

in the core diameters will produce only a couple of<br />

tentha of a dB loaa. Indeed, for NA = 0.15, an end<br />

separation of half the core diameter will produce about<br />

0.7 dB coupling loaa. In the caae of aplicea there is<br />

no end separation therefore this losa does not occur.<br />

The effect of axial transverse (lateral) displacement<br />

of equal-diameter cores is ahown in Fig. 3.4.<br />

The fiber core diametera, D, and the transverse displacement,<br />

d, la shown. As can be seen, a 10% transverse<br />

displacement, which for ainglemode fibera can be<br />

0.5 urn (micron) can reault in a 0.5 dB losa. When purchasing<br />

fiber, carefully apecified fiber dimensions are<br />

important, e.g., fiber outaide diameter should be maintained<br />

uniform to ~ 1% of some nominal value and corea<br />

should be concentric to within 0.5%. For an 80 urn<br />

fiber, a 1% variation in the diameter is 0.8 pm. It<br />

could lead to a 0.4 ~m transverse displacement, which<br />

for 5 ~m core could lead to d/D = 0.08 corresponding to<br />

a leas of approximately 0.4 dB.<br />

Another extrinsic effect, an axial angular

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