REFERENCE

NBS

PUBLICATIONS

NBSIR 86-3052

A1110Z SbMblD

ATION MEASUREMENTS

1ED OPTICAL FIBERS

ON

A. Engelsrath

B. L. Danielson

D.L. Franzen

National Bureau of Standards

U.S. Department of Commerce

Boulder, Colorado 80303

July 1986

—QC

ino

.1156

86-3052

1986

NBSIR 86-3052

MBS

RESEARCH

INFORMATION CENTER

ATTENUATION MEASUREMENTS ON

DEFORMED OPTICAL FIBERS

A. Engelsratht

B. L. Danielson

D.L. Franzen

Electromagnetic Technology Division

Center for Electronics and Electrical Engineering

National Engineering Laboratory

National Bureau of Standards

Boulder, Colorado 80303

July 1986

f On leave from the Israeli Ministry of Defence

U.S. DEPARTMENT OF COMMERCE, Malcolm Baldrige, Secretary

NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Director

Contents

Page

1. Introduction 1

2. Background 2 2.1 Curvature Loss 3 2.2 Microbending Loss 5

3. OTDR Attenuation Methods 7

4. Curvature Loss Measurements 8

4.1 Results and Discussion 9

5. Tension Loss Measurements 10

5.1 Results and Discussion 11

6. Twisting Loss Measurements 11

7. Overlap Loss Measurements 12

8. Summary 13

9. References 14

Attenuation Measurements on Deformed Optical Fibers

A. Engelsrath,* B. L. Danielson, t and D. L. Franzent

National Bureau of Standards

Boulder, Colorado 80303

Attenuation measurements were made on several different

optical fibers subjected to bending, tension, twisting, and

overlapping. The measurements were performed with an optical timedomain ref 1 ectometer which gives a partial separation between the

various contributions to the measured deformation loss. The

graded- and step-index multimode fibers had a variety of different

dimensions and coatings. The results of bending attenuation are compared with models and other reported experimental loss data.

Based on the results of the present experiments, an empirical model

has been derived which permits a prediction of the smallest bend

radius consistent with a given allowed attenuation.

Keywords: attenuation; bending attenuation; bending loss; light

guides; optical fibers; optical fiber waveguides

1. Introduction

From a system designer's point of view, optical attenuation is one of the

most important parameters which characterize lightguides. In addition to the

intrinsic sources of loss in the transmission medium, additional losses can be

induced by environmental perturbati ons . The purpose of the present report is

to investigate, for a few representati ve multimode fibers, the magnitude of

the excess loss associated with fiber deformations produced by bending,

tension, twisting, and overlapping of uncabled fibers. In some situations

*0n leave from the Israeli Ministry of Defence,

t El ectromagneti c Technology Divison.

1
encountered in optical fiber systems, losses due to these effects may be

unavoidable because of space constraints in the device layout, or they may be

inherent in the construction of certain fiber sensors and mode filters. We are concerned here with losses arising from severe distortions of the optical

axis which occur over very limited lengths of fiber (a few meters).

In the present work we have used an optical time-domain reflectometer

(OTDR) to measure fiber loss [1], While the sensitivity is not as great as that of some other experimental techniques, OTDR methods are unique in

allowing for loss to be measured as a function of distance along the test

fiber. For example, we can distinguish between losses originating from

bending and overlapping loss, which are localized effects, and tension and

twisting losses which are distributed over extended intervals of the fiber.

Four different kinds of multimode fiber were examined for deformationinduced attenuation. The results obtained for bending attenuation are com- pared with the values of a computed model. Since the bending attenuation

measured here agrees only qualitatively with the theoretical predictions, we have derived an empirical model which relates the minimum curvature radius

consistent with a specified loss per loop of fiber. We do not deal here with

the case of a long fiber wrapped on a drum but mainly with deformation of a section of a long fiber and its contribution to the total fiber attenuation.

2. Background

In this section we will briefly review the two main sources of extrinsic

loss occuring in installed optical fiber systems. These are curvature loss

and microbending loss. They will be present to some extent in every application of fibers as a result of uncontrollable envi ronmental di sturbances

Although both of these effects have their origin in deviations of the fiber

axis from a straight line, the underlying physical mechanisms are different in

the two cases. Under the conditions encountered in the great majority of

installed systems, the excess losses due to these effects can be controlled to

the point that they are not troublesome. Only in situations involving bends

with a small radius of curvature, or unusual tension in conjunction with rough

surfaces, does the system designer need to be concerned with these induced

1 osses.

2
2.1 Curvature Loss

When light propagates in a multimode waveguide whose axis is characterized by a constant radius of curvature, some of the guided energy is lost to

forward scattering. The loss mechanism can be described from several points

of view. One physical picture involves a wavefront confined to a curved

trajectory. Due to this geometry, the phase front on the outside of the arc must travel farther than on a straight section of the guide. At some critical

radius the phase velocity must exceed the velocity of light in the medium,

and, since this is not physically possible, the light is no longer guided and

must be radiated away. Another physical picture which has been invoked uses a potential well to describe guidance. Bends can be interpreted in terms of a conformal mapping of this potential, resulting in a quantum-mechanical

tunneling effect. Finally, curvature loss can be predicted from the

conventional geometrical optics methods of ray tracing. These simple concepts

provide the basis for a number of detailed theories on curvature loss. The more important mode theories have been discussed in recent review papers

[2,3], and the geometrical ray theories have been described in references [4]

and [5], We will give here only a very brief outline of some of these

results, as discussed by Olshansky [3].

Most multimode fibers can support several hundred modes. The maximum

number of modes N is given approximately by the relation

N = ysh (ka)2 (2_1)

with the usual notation that k is the propagation constant, a the core radius,

and g the index profile parameter [5]. The relative refractive index difference A may be approximated as

where n is the index of refraction on the core axis, and n

? is the cladding

index. A convenient parameter for describing attenuation effects is the no v

group number m, which refers to all of the LPpv

modes with the indices . <n i

such that

3
m = 2y + v+ 1. (2-3)

The maximum mode group number M is related to the total number of modes N by

the relation

M = /N. (2-4)

The lightguide attenuation y» in inverse meters, may then be put in terms of

these parameters as follows

Y

= 4ni k4[l - C^) 2 ]exp{|n 1 k(2A)3/2R[i . (*)2 . 3-J3/2} (2-5)

where R is the bend is radius of curvature. It is seen that the curvature

loss depends critically on the mode group number and may be completely insignificant for small m and, at the same time, very large for m larger than some

some threshold value. The principal result of a bend on a waveguide therefore

is to rapidly dissipate the power associated with a certain set of higher

modes while leaving the remaining modes virtually undisturbed. We also see that the loss effects are more pronounced for lightguides with small a (or

small numerical aperture) and large core radius. It can also be shown that a parabolic-index fiber will exhibit twice the curvature loss of a step-index

fiber with the same A and a. Most of the mode theories appearing in the literature are in qualitative agreement with these conclusions. In our present

applications, the quantitative predictions of these bending-loss mode theories

are of limited interest since it is known that they do not adequately describe

the effect of rapid bend changes which occur over short distances [6]. This

deficiency has been confirmed by Agarwal and Unrau [7]. Another weakness of

these theories, at least from the point of view of experimentalists, is that

the loss equations are couched in terms of variables which are usually not

known and cannot be readily obtained.

The ray-path derivations of curvature loss [4] assume that every ray in

the bent waveguide is a leaky ray. For our purposes a leaky ray may be

defined as a ray which would not be totally internally reflected but for the

fact that the waveguide core cross section is curved (quite apart from any

4
bend). The term "leaky" may thus be synonymous with weakly bound. In this

model light may be lost from simple principles of refraction. Some of the

results of this theory will be shown later in connection with our experimental

data, but for our present purposes we merely point out that the predictions

exhibit the same characteri sti c behavior discussed above for the mode theories. That is, there is a rapid power loss in a transition region commencing

at the bend, followed by a steady-state region of the fiber where the higherorder modes have been extinguished. Computer-generated results have been put

in graphical form, which makes for a convenient comparison with experiment.

It should be emphasized however that the reported geometric-optics models

assume a steady-state modal distribution of energy impinging on the bend

region of the fiber, a condition not realized in the present work. Also, the

effect of leaky rays in the unperturbed input section is neglected. It is

known, for example, that typically about 10 percent of the launched energy in

a fiber may be attributed to leaky modes [8], and some of these modes are present even for kilometer lengths of fiber.

Figure 1 demonstrates the approximate magnitude of multimode-fiber curvature losses. This figure is adapted from the work of Le Noane [9].

2.2 Microbending Loss

There is one other important source of extrinsic loss which can occur

when fibers are cabled or deployed in environments where the fiber comes into

contact with rough surfaces. This is the phenomenon of microbending [10], and

it will occur in any lightguide in which the optical axis is periodically or randomly displaced in a direction perpendicular to the direction of propagation. Typically, the optical axis distortion amplitude is a few micrometers,

and the distortion period along the length of the fiber is on the order of

millimeters. The i rregul ari ti es in the axis of the guiding structure cause coupling of energy between the modes in a multimode fiber. Some of the propagating energy will be coupled into nonguided radiation modes, an effect which

produces an additional loss. Due to the importance of microbending in long

lengths of installed cable, a great deal of attention has been devoted to the

design of coatings and cable structures which minimize this effect. For

example, it is common practice to coat the fiber with a hard outer shell in

5
conjunction with a soft compliant inner buffer to reduce this type of excess

loss.

Multimode optical fibers having a parabolic index profile are particularly sensitive to periodic distortions that have spatial wavelengths x cen- tered around the value

-v _ 2tt a V (2a) 1 /

2

* ( 2 - 6 )

The resonant effect as a function of x is due to the fact that, in a gradedindex fiber, all mode groups are separated by the same difference in propagation constant and therefore are coupled by the same spatial interaction. This

relation has been established both theoretical ly and experimentally [10]. By

contrast, a single periodicity cannot couple all the mode groups in a stepindex fiber, and significant excess loss occurs for all spatial wavelengths

satisfying the relation

x <

ira PT7* (2-7)

The dependence of microbending loss on fiber propagation parameters has

been investigated by a number of authors [11,12]. Keck [13] gives the following relation for the excess attenuation y

B

v 1 (N.A. ) d

2 C

where d

i is the core diameter, is the outside diameter of the cladding,

N. A. is the numerical aperture, and K is a constant whose value depends on the

type of fiber; for a loose-tube structure 0 < K < 0.03, for a tight-tube

O. 05 < K < 0.1 , and for high strength fibers 40 < K < 80. The additional con- stants are given as: A = 3.7, B = 7.4, and C = 5.2.

The magnitude of the microband loss for a particular fiber can be measured by winding the fiber under constant tension onto a drum which has a known

surface roughness [10,14]. The transmitted power loss associated with a single microbend has been investigated by Rourke [14] using 0TDR methods.

6
A certain amount of excess attenuation can also occur from long-period

bending with spatial wavelengths of several centimeters. Periodic bends of

this sort are common in certain cable structures, and they produce what is

usually referred to as macrobending losses [16], This is really nothing more

than a form of microbending. Unfortunately, the term "macrobending" is sometimes used to refer to the continuous curvature loss discussed in section 2.1

which arises from a different physical mechanism.

There was no intention to specifically address the measurement of microbending effects in the experimental phase of the present work. However, this

mechanism is involved in the losses observed with the tension and overlapping

experiments discussed in section 4.

3. OTDR Attenuation Methods

Optical attenuation in lightguides is often measured by the cutback

method [16]. This approach involves measuring the optical power emerging from

the distal end of the test fiber. The fiber is then cut a meter or so from

the launch end and the output power is again recorded. Loss is inferred from

the ratio of these two power levels. The insertion-loss method is similar

except that the reference power is measured through a separate short length of

fiber identical to the test fiber. The optical time-domain ref 1 ectometer does

not have the potential sensitivity or accuracy which characterize these other

two techniques. However, it is convenient, requires only one end of the

fiber, is nondestructive and has the advantage of being able to spatially

resolve loss regions. With the instruments used in the present work, the

limit of spatial resolution was about 1 m.

The value of the measured attenuation in multimode waveguides depends to

a considerable extent on the input launching conditions. This is a result of

the fact that each mode group in general has its own loss value. In the

present series of experiments, overfilled conditions were used. That is, all

guided-mode groups were equally excited. Since the OTDR instrument uses oil

for refractive index matching, it also operates as a mode stripper [16] and no additional mode stripping was required. The attenuation coefficient of the

undisturbed fiber is almost constant and independent of the length of the

fiber tested with the OTDR.

7
4. Curvature Loss Measurements

For loss measurements with the OTDR the test fiber was wound under a minimum of tension onto two spools. The diameter of each spool was about

15 cm. The spools were wrapped with soft padding in order to minimize the

effects of microbending. The controlled bending was done on a short section

of fiber between the two spools and close to the middle of the fiber.

Whenever possible, about 1 km total length of fiber was used for the

measurements, although the bending attenuation was independent of the length

of the test fiber. Since the OTDR is capable of measuring local loss, the

effects of downstream mode coupling on the transmitted power could be

neglected, and the loss of a single or at most a few turns could be measured

di rectly

Four optical fibers were tested for bending attenuation. Their specifications are given in table 1 [17]. Graded-index fibers with both large and

small numerical apertures and one large core diameter step-index fiber were examined. Each of the fibers had a different coating.

Table 1. Type and specifications of test fi bers.*

Fiber number

1 2 3 4

Manufacturer Corning Ensi gn-Bi ckford ITT Fiber B

Core/cl addi ng/

coating diameters

double window

GI

SI GI GI

[ym] 49/125/240 116/127.5/- 55/125/500 50/125/210

Coati ng Scpc PI asti

Hytrel -s —

N.A. 0.21 0.27 0.25 0.16

Attenuation 0.85-2.3 0.85-7.7 0.85-5 —

[ym]-[dB/km] 1.3-0.

1.06-3 --

BW [gm]-[MHz/km] 0.85-608 — -- -- 1.3-853 -- — —

Di spersi on -- -- 1 ns/km -- Screen tested 0.35 GN/m 2 -- 0.347 GN/m2 -- Bending radius (min) -- -- 5 mm --

*See reference [17].

8
4.1 Results and Discussion

The results of the attenuation measurements presented here are for very

few wraps. They provide the basis for a method to measure local attenuation

[19]. The usual way to measure attenuation is to measure it over a 1 km

length of fiber wrapped on a spool. Under the last condition the attenuation

reaches saturation and becomes nonlinear (attenuation versus the number of

wraps). The method proposed here will enable (a) derivation of the exact

diameter mode filter, (b) estimation of the minimum spool-core diameter, and

(c) determination of the minimum bend radius allowed at corners.

The experimental model seems to be equally valid for graded-index and

step-index fibers as long as the measured attenuation values are far from

saturati on

Examples of curvature loss obtained from the OTDR measurements are shown

in figure 2. Measurements were made on two fibers changing two parameters:

the radius of the bends and the number of turns. The experimental loss values

varied between 0.1 and 10 dB.

When the attenuation due to a single turn is high (about 1 dB),

additional turns add only slightly to the overall attenuation. However, for

low attenuation values per turn (about 0.1 dB), additional turns increase the

overall attenuation in proportion to the number of turns. These results are qualitatively in agreement with the theories discussed in section 2.1 which

predict a steady-state attenuation once the higher order modes are removed.

The experimental data in figures 3 through 6 indicate that, as long as the

curvature loss is far removed from the steady-state value, the logarithm of

the loss in decibels is a nearly linear function of the diameter of the

bend. This is true for all the different fibers and for different numbers of

turns. With a linear dependence of this sort, and with simple interpolation

procedures, it is possible to determine the minimum bend diameter corres- ponding to a given attenuation per turn. The straight line obtained when the

logarithm of the loss in decibels is plotted as a function of R forms the

basis for a promising method for estimating curvature loss as long as the

steady-state region is avoided.

9
An effort was also made to quantitatively compare these results to the

theoretical predictions of Love and Snyder [4]. The theoretical and experimental points are shown in figures 7 and 8. Numerical values of the stepindex fibers exhibit a worse fit than those observed from the graded-index

fibers, although only very few calculated data can be fitted into the figure.

In both cases, the rather striking lack of agreement indicates that the theory

is not satisfactory for accurate prediction of curvature loss for the kinds of

fibers and in the regime studied here. As we have discussed previously, this

may be due in part to a difference between the assumed mode distributions in

the theoretical model and those obtained under our laboratory conditions.

This discrepancy might justify the introduction of the proposed experimental

model

5. Tension Loss Measurements

Many optical fibers are proof tested to withstand stresses of 0.35 GPa

(50 ksi), although certain high-strength fibers for use in special applications are rated as high as 5.6 GPa (800 ksi), near the theoretical strength of

silica. The coating as a rule does not contribute significantly to the

tensile strength of the fiber. The object of the series of experiments

described in this section was to determine the effect of stress on the attenuation properties of short lengths of bare fibers [18].

A controlled section of the test fiber about 33 m long was used to measure the excess loss due to tensile loading. This section of fiber was loaded

with weights ranging from 0.1 to 0.5 kg. The strained fiber was passed

through a series of pul lies to reduce, as much as possible, the sliding resistance. Five 75 mm diameter pullies were used, each of which had a groove cut

for the fiber. One end of the fiber was taped to a fixed surface with minimum

deformation of the fiber. The other free end of the fiber was sandwiched

between two pieces of tape and the tape was loaded with the test weight. In order to minimize microbending effects no clamping was used. The total length

of the fiber did not appear to have any effect on measured tension loss.

Since the attenuation due to tension was distributed throughout the test

length, the total loss was somewhat more difficult to measure than the

curvature loss, which is highly localized.

10
5.1 Results and Discussion

Due to the limited sensitivity of the OTDR used, only fibers 1 and 4 gave

measurable results over the short lengths used here. For graded-index fibers,

the smaller the N.A. (or a) the higher the attenuation of the fiber for the

same structure and tension. For the two low N.A. fibers measured, the excess attenuation due to externally applied tension was proportional to the tension

(fig. 9). From the slope of the attenuation versus load curves it is possible

to derive loss rates (dB/N*km). Excess attenuation due to tension effects

which are less than 0.1 dB over 33 m of fiber could not be measured with the

present apparatus. Also, since the fibers could not be loaded by more than

0.5 kg due to the probability of failure, the measurements had a lower

sensitivity limit of about 0.6 dB/N*km.

The experimental results are presented in table 2 column 3. Fibers 2 and

3 did not yield measurable tension losses.

Table 2. Comparison of deformation losses in optical fibers.

Fi ber Bend radius

for 1 dB loss

(cm)

Tension

1 OSS

(dB/N. km)

Twi sting

1 OSS

(dB/twi st)

Overlap radius for

1 dB loss at

tension 0.014 N (cm)

1 1.84 2.0 ± 0.6 0.001 0.63 ± 0.2

2 0.056 <0.6 0.001

3 0.20 <0.6 0.001

4 0.95 4.0 ± 0.6 0.001 0.89 ± 0.2

6. Twisting-Loss Measurements

To measure the excess loss due to fiber twisting, a section of test fiber

about 6 m long was taped at both ends and twisted in the middle around its own axis (twisting each half-section in opposite directions). During the experiment the tension on the fibers was kept to the minimum required to keep the

fiber from curling.

11
No attenuation change was detected (less than 0.1 dB) for up to 100 twist

cycles for all of the fibers tested. The upper limit for the excess loss per

twist cycle is therefore 0.001 dB/twist.

7. Overlap Loss Measurements

Overlapping of fibers is common whenever spools of fibers are wrapped

with more than one layer. Overlap losses are localized and therefore can be

observed easily on the 0TDR. However, some problems were encountered when we tried to perform these loss measurements since it is not easy to separate the

various components of the deformation attenuation which contribute to the

total observed loss. Wrapping requires a certain force and therefore the

fiber is subjected to some tension, especially when wrapped on a small diameter spool. Also, there was some slide resistance encountered when the wrapping was done and it was possible to get different tensions in different

sections of the fiber resulting in different attenuations.

In the experimental setup, two wraps of the test fiber were wound side by

side on an oiled aluminum rod of known diameter. The fiber was put under a constant tension by loading one of its ends with a known load. The attenuation due to the two wraps was measured on the 0TDR. The attenuation measurement was repeated after rewinding the second wrap so that it overlapped the

first wrap and touched it at one point (fig. 10). By subtracting the second

value from the first value of attenuation (in decibels) the attenuation due to

the overlap alone is derived.

Overlap losses for different wrap diameters but constant tension (1.39 N) are presented in figure 11. Varied tensions leaving the diameter fixed are given in figures 12 and 13. The attenuation due to two wraps without overlap

is also included to indicate the values subtracted.

From purely mechanical consi derati ons the compression of the fiber due to

overlap should be inversely proportional to the radius of the resulting bend.

From the graph in figure 11 it may be observed that the attenuation due to the

overlap is also approximately proportional to the wrap radius R for the mode

distributions in this experiment. The attenuation can be represented as

12
y

K

R (7-1)

with a characteristic constant K identified with each fiber.

The observed dependence of the overlap attenuation on the fiber attenuation for a fixed diameter indicates that there is some residual overlap

attenuation for zero external tension. This zero-level loss increases with

the reduction of the bend radius (figs. 12 and 13).

Fiber 3 was very insensitive to overlap attenuation due to its relatively

hard outer coating. Fiber 2, which was of the step-index type, had a large

N.A. and perhaps for this reason was insensitive to overlap attenuation. It broke before exhibiting any measurable attenuation. Fiber 4 is more sensitive

to overlap than fiber 1. The diameter that gives 1 dB attenuation is given in

table 2.

A more thorough comparison of the different deformation attenuations

requires a model for each deformation which was not presented in this work

(special cases of the deformations are treated theoreti cal ly in references 20

and 21).

8. Summary

Excess optical fiber loss due to various types of external deformations

have been measured and discussed. The use of an OTDR to measure the attenuations allows, in most cases, for each loss contribution to be analyzed separately .

An empirical model for estimating curvature loss in a given fiber was proposed. It was found experimental ly that smaller N.A. fibers are more sen- sitive to deformation, and step-index fibers are less sensitive to deformation

attenuation than are graded-index fibers with the same N.A. During this work

no attention was given to the contribution of the fibers coating to the def >r- mation attenuation, although it was found that a more rigid coating general 1., reduces the attenuation.

For comparison purposes the different contributions to the attenu<i‘.i ,u are summarized in table 2.

13
Of the external perturbations studied, the fibers seem to be the most

sensitive to bending loss, and slightly less sensitive to overlap attenuation

under a maximum of 0.35 GPa tension. Pure tensile forces gave observable

losses only for small N.A. fibers. Attenuation due to a few twists was undetectable.

9. References

[1] Rourke, M. D. An overview of optical time-domain refl ectomet ry, in

Physics of Fiber Optics, Vol . 2, Advances in Ceramics, B. Bendrow and

S. S. Mitra, eds. Columbus, OH: American Ceramic Society, Inc.; 1980.

252-272.

[2] Marcuse, M.; Gloge, D. ; Marcatilli, A. J. Guiding properties of fibers,

chapter 3 in Optical Fiber Telecommunications. S. E. Miller and A. G. Chynoweth, eds. New York, NY: Academic Press, Inc; 1979. 37-100.

[3] Olshansky, R. Propagation in glass optical waveguides. Rev. Mod. Phys.

51(2): 341-367; 1979 April.

[4] Snyder, A. W. ; Love, J. D. Optical waveguide theory. New York, NY:

Methuen Publications; 1984. 784 p.

[5] Winkler, C.; Love, J. D.; Ghatak, A. K. Loss calculations in bent

multimode optical waveguides. Opt. and Quantum Electron. 11: 173-183;

1979.

[6] Taylor, H. F. Bending effects in optical fibers. J. Lightwave Technol

LT-2( 5) : 617-628; 1984 October.

[7] Agarwal , A. K. ; Anrau, U. Comparative study of methods to produce stationary mode power distribution for optical fiber measurements. J. Opt.

Comm. 4(4): 126-133; 1983.

[8] Keck, D. B. Optical fiber waveguides, chapter 1 in Fundamentals of

Optical Fiber Communications. M. K. Barnoski, ed. New York, NY: Academic Press; 1981. 1-107.

[9] Le Noane, G. Optical fiber cables. Telecommun. J. 48 (XI): 649; 1981.

[10] Fields, J. N. Attenuation of a parabolic-index fiber with periodic

bends. Appl . Phys. Lett. 36(10): 799-801; 1980 May 15.

[11] Manieson, J. A.; Powell, R. B. Measurement and modeling of microbending

attenuation on spools wound for layout. SPIE 355: 85-90; 1982.

14
[12] Keck, D. B. Fiber theory overview. Conference on Optical Fiber Communication; 1985 February 13-14; San Diego, CA.

[13] Someda, C. G. Experimental evaluation of optical fibers: a review, in

Fiber and Integrated Optics, D. B. Ostrowsky, ed. New York, NY: Plenum

Press; 1978. 43-81.

[14] Rourke, M. D. Measurement of the insertion loss of a single microbend

Opt. Lett. 6(9): 440-442; 1981 September.

[15] Schwartz, M. I.; Gloge, D.; Kempf, R. A. Optical cable design, chapter

13 in Optical Fiber Telecommunications. S. E. Miller and A. G.

Chynoweth, eds. New York, NY: Academic Press; 1979. 437.

[16] Cherin, A. H.; Head, E. D.; Lovelace, C. R.; Gardner, W. G. Selection

of mandrel wrap mode filters for optical fiber loss measurements. Fiber

and Int. Optics 4: 49-55; 1981.

[17] Certain trade names are used in order to precisely identify the experimental conditions of the present work. This does not constitute an endorsement of these products, nor does it have any implications regarding the merit of their performance.

[18] Rourke, M. ; Jones, V.; Friedrich, H. Strain induced excess loss in

coated waveguides. Technical Digest Conference on Optical Fiber Communication; 1979 March 6-8, Washington, DC.

[19] Kao, C. K.; Blanco, C. F.; Asam, A. Fiber cable technology. J. Light- wave Technol . LT-2: 479-488; 1984 August.

[20] Abe, T.; Mitsunaga, Y.; Kogo, H. Strain sensor using twisted optical

fibers. Opt. Lett. 9:373-375; 1984.

[21] Yabuta, T.; Tanaka, C.; Yoshizawa, N.; Ishihara, K. Structural analysis

of jacketed optical fibers under lateral pressure. J. Lightwave Technol. LT-1 : 529-532; 1983.

15
(wvi/ap) ss °i ss93x 3

16

(adapted

from

Le

Noane

[9]).
CM

CTi

00

coc

CD

LO

CD -Q

E

=3

00

CM

O

co o

CM

(9 P) ssol SS9DX3

17

F.xcess

curvature

loss

for

two

experimental

fibers

as

a

function

of

the

number

of

complete

bend

cycles.

Fiber

1

was

wound

on

a

mandrel

of

2.3

cm

radius,

and

fiber

4

was

wound

with

a

0.16

cin

radius

.
Excess

Loss

(d

B)

0 12 3 4

Curvature Radius (cm)

Figure 3. Excess curvature loss as a function of bend radius for fiber 1 with 1/2 and 2 1/2 turns.

18
Excess

Loss

(dB)

10

O

O

0.1

0.01

0 1

Fiber 2

9 V2 Turns

O

o

8

O

2 3 4

Curvature Radius (mm)

Figure 4. Excess curvature loss as a function of bend radius for fiber 2 with 9 1/2 turns.

19
Excess

Loss

(d

B)

10

0.1

0

Fiber 3

O V2 Turn

2V2 Turns

A 9V2 Turns

O

1 2

Curvature Radius (mm)

Figure 5. Excess curvature loss as a function of bend radius for fiber 3

with different turns.

20
Excess

Loss

(d

B)

Curvature Radius (mm)

Figure 6. Excess curvature loss as a function of bend radius for fiber 4 with several different turns.

21
Excess

Loss

(dB)

10 2 10 3 10 4 10 5

Z/A>

Figure 7. Comparison of the present experimental work with the theory of

Snyder and Love [4]. The individual points are for fiber 1 which

has a near-parabol i c index profile.

22
Excess

Loss

(d

B)

Figure 8. A comparison of the curvature loss theory of Snyder and 1 >,•• for fiber 2 which has a step-index profile.

23
Excess

Loss

(dB)

Tension (N)

Figure 9. Excess loss due to tension for fibers 1 and 4. Note: Error here

is estimated to be ±0.2 dB, but due to other unknown factors can

be much higher.

24
QQ

cn O Ho

o

QJ L_o>

25

Experimental

configuration

for

testing

the

magnitude

of

the

excess

loss

due

to

fiber

overlap

(A)

and

pure

curvature

(B).
o

E

o

CO

Z3 "O

03

oc:

CD

=3

-t—

03>

CJ>

( a p ) SS0“| SS03X3

26

Figure

11.

Excess

overlap

loss

in

fibers

1

and

4

due

to

tension

as

a

function

of

mandrel

radius
3

O Fiber 1, 0.95 cm Radius

Fiber 4, 4.0 cm Radius

Tension (N)

O

O

2.5 3.0

Figure 12. Excess overlap loss in fibers 1 and 4 under const int curvature <r, a function of applied tensile loading.

27
3

Fiber 4

0.95 cm Radius

o 0.48 cm Radius

O

2

O

3

Tension (N)

Figure 13. Excess overlap loss in fiber 4 as a function of tension for two

different mandrel radii.

28
U.S. DEPT. OF COMM. 1. PUBLICATION OR 2. Performing Organ. Report No. 3. Publication Date BIBLIOGRAPHIC DATA

SHEET (See instructions)

REPORT NO.

NBSIR 86-3052 July 1986

4. TITLE AND SUBTITLE

Attenuation Measurements on Deformed Optical Fibers

5. AUTHOR(S) * A. Engelsrath, B. L. Danielson, and D. L. Franzen

6. PERFORMING ORGANIZATION (If joint or other than NBS, see in struction s)

national bureau of standards

DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20234

7. Contract/Grant No.

8. Type of Report & Period Covered

9. SPONSORING ORGANIZATION NAME AND COMPLETE ADDRESS (Street. City. State. ZIP)

10. SUPPLEMENTARY NOTES

*On leave from the Israeli Ministry of Defence

Document describes a computer program; SF-185, FIPS Software Summary, is attached.

11. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significant

bi bliography or literature survey, mention it here)

Attenuation measurements were made on several different optical fibers subjected to

bending, tension, twisting, and overlapping. The measurements were performed with

an optical time-domain ref lectometer which gives a partial separation between the

various contributions to the measured deformation loss. The graded and step-index

multimode fibers had a variety of different dimensions and coatings. The results

of bending attenuation are compared with models and other reported experimental loss

data. Based on the results of the present experiments, an empirical model has been

derived which permits a prediction of the smallest bend radius consistent with a given allowed attenuation.

12. KEY WORDS (Six to twelve entries; alphabetical order; capitalize only proper names; and separate key word' . , attenuation; bending attenuation; bending loss; light guides; optical fib. • optical fiber waveguides

13. AVAILABILITY

[ Unlimited

| | For Official Distribution. Do Not Release to NTIS

Order From Superintendent of Documents, U.S. Government Printing Office, Washington, D.C . 20402.

[]X] Order From National Technical Information Service (NTIS), Springfield, VA. 22161

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