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FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

FIBEROPTIC SENSOR TECHNOLOGY HANDBOOK

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-- ~ I<br />

I T I I I I<br />

1! 20 –<br />

~ c n.z<br />

9<br />

10<br />

‘0<br />

= ~ n,r<br />

0.0 ~— -–– –– ––––––––--–- - - - -<br />

%<br />

*<br />

g –10<br />

I<br />

value of A~$AP below that of fused silica, as was shown<br />

in Fig. 5.3. Theoretical results are shown in Fig. 5.6<br />

--<br />

1-a<br />

I T I r I I I I<br />

z –20<br />

><br />

~ –W<br />

%<br />

:<br />

y<br />

:<br />

0.5 –<br />

0.0 -<br />

%<br />

“ –40<br />

$<br />

~ -50 -<br />

< –so<br />

I I I I I I<br />

100 2(Y2 300 400 500 600<br />

HYTREL THICKNESS (pm)<br />

Fig. 5.4 The components of the per-unit phase change<br />

of a lightwave in a Hytrelc-jacketed fiber<br />

per pascal as a function of jacket thickness.<br />

After Lagakos and Bucaro, Appl. Opt. ~, 2717 (1981).<br />

In order to calculate the pressure sensitivity<br />

of one meter of Hytrelc-jacketed fiber, consider the<br />

experimental results that were given in Fig. 5.3. The<br />

measured value of A /@jAP, corresponding to a l-mm plastic<br />

jacket is 10-~0 pascal-l. Solving fOr A$/~ and<br />

taking L = 100 cm, n = 1.5, k = 7.4 x 104/cm (for A =<br />

0.85 microns) yields aA$/$of 10-6 radians for 10Q3<br />

pascals. Thus, 103 micropascals produces a one microradian<br />

phase shift. The pressure sensitivity per meter<br />

for this case is 60 dB re 1 micropascal. Increasing<br />

the length of optical fiber to 10 and 100 meters increases<br />

the pressure sensitivity to 40 dB re 1 micropascal<br />

and 20 dB re 1 micropascal respectively. These<br />

results are only 5 dB greater than the quantum limited<br />

theoretical results shown in Fig. 5.5. Included for<br />

3–0.5 —<br />

~<br />

: –10 -<br />

5~ –15 —<br />

CALCIUM ALUMINATE GuSS<br />

G<br />

z<br />

# –2.0 —<br />

g<br />

: –~,5 -<br />

$<br />

<<br />

0 20 40 60 SO 100 120 140<br />

COATING THICKNESS (pm)<br />

Fig. 5.6 Acoustic response (phase shift of a lightwave)<br />

in an optical fiber as a function of<br />

coating thickness.<br />

After Lagakos et al., Opt. Lett. ~, 460 (1982).<br />

(See Ref. 6 in Subsection 5.1.7) for jackets of nickel,<br />

calcium aluminate glass, and aluminum. A nickel jacket<br />

as thin as 10 microns should reduce the acoustic sensitivity<br />

of silica fiber to zero; however, the thickness<br />

is critical. On the other hand, a 90-micron jacket of<br />

aluminum is required for zero acoustic sensitivity but<br />

the thickness is much less critical. The variation of<br />

‘L,z~ ‘n,z~ cn,r, and A$/@P versus the thickness of<br />

the the aluminum jacket are shown in Fig. 5.7 (See Ref.<br />

5 in Subsection 5.1.7).<br />

4,<br />

--<br />

I<br />

2 -<br />

z<br />

:<br />

c1<br />

y<br />

0g<br />

%<br />

* –2 -<br />

~<br />

E n,z<br />

0 -––––––––––––-––-----–<br />

---——<br />

~ \ \<br />

— t \ H56EOUIV \<br />

d<br />

~ 30 cOATEDFIBE’R 115fiW20ml<br />

Y\Y<br />

+<br />

I<br />

3 5 10 2 5 100 2 5 1,000 2 5 Io,orm<br />

FREQUENCY (H,]<br />

Fig. 5.5<br />

Variation of acoustic energy spectrum level<br />

as a function of frequency for two coated<br />

fibers along with other noise levels in a<br />

sea subsurface environment.<br />

comparison in Fig. 5.5, are various ambient noises,<br />

such as shipping, weather and seismic noiaes. Also<br />

shown is the equivalent noise pressure of the U.S.<br />

Navy’s H56 hydrophore.<br />

o 20 40 60 80 100 120 140<br />

ALUMINUM THICKNESS (pm)<br />

Fig. 5.7 Pressure components per unit sensitivity<br />

per unit pressure as a function of aluminum<br />

jacket thickness on an optical fiber.<br />

After Lagakoa and Bucaro, Appl. Opt. — 20, 2719 (1981).<br />

5.1.2.2<br />

Pressure Gradient Sensors<br />

The effect of jacketing optical fiber with<br />

aluminum (measured experimentally) is to reduce the<br />

mined by<br />

The direction of a sound source can be deterusing<br />

either an array of omnidirectional sen-<br />

5-3

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