D.The core index is greater than the cladding index
Correct Answer: The core index is greater than the cladding index
Explanation:
A higher core index permits total internal reflection at the core-cladding boundary, thereby guiding light through the fiber.
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23The core and cladding indices of a fiber are and , respectively. What is the critical angle at the core-cladding interface, measured from the normal?
Total internal reflection
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The critical angle is .
Incorrect! Try again.
24A light ray inside a fiber core of index strikes the cladding of index at to the normal. What happens at the boundary?
Total internal reflection
Medium
A.The ray undergoes total internal reflection
B.The ray passes completely into the cladding
C.The ray travels along the boundary indefinitely
D.The ray is absorbed completely by the cladding
Correct Answer: The ray undergoes total internal reflection
Explanation:
Here . Since , total internal reflection occurs.
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25A step-index fiber has and . What is its numerical aperture in air?
Numerical aperture
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In air, .
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26An optical fiber has a numerical aperture of and is surrounded by air. What is its acceptance half-angle?
Acceptance angle
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For air, . Thus .
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27A fiber whose intrinsic numerical aperture is is immersed in water of refractive index . What is its acceptance half-angle in water?
Acceptance angle
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Using gives .
Incorrect! Try again.
28For a fiber with core index and cladding index , what is the relative refractive index difference ?
Relative refractive index
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
, which is approximately .
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29A weakly guiding fiber has and . Using , estimate its numerical aperture.
Relative refractive index
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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30A fiber has a core radius of , numerical aperture , and operating wavelength . What is its approximate V-number?
V-number
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
.
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31A step-index fiber has at . If it is operated at with all other parameters unchanged, which conclusion is correct?
V-number
Medium
A.Its V-number remains , independent of wavelength
B.Its V-number becomes about , preserving single-mode operation
C.Its V-number becomes about , allowing higher-order modes
D.Its V-number becomes about , reducing confinement
Correct Answer: Its V-number becomes about , allowing higher-order modes
Explanation:
Since , the new value is . This exceeds the single-mode cutoff .
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32A multimode step-index fiber and a multimode graded-index fiber have comparable dimensions and numerical apertures. Why does the graded-index fiber generally transmit shorter pulses with less broadening?
Step-index and graded-index fibers
Medium
A.Its refractive index is constant throughout the core
B.Its refractive-index profile reduces differences in modal transit times
C.Its core permits only one propagation mode at a time
D.Its cladding reflects every mode at exactly the same angle
Correct Answer: Its refractive-index profile reduces differences in modal transit times
Explanation:
Modes traveling farther from the axis move through lower-index regions at higher speeds, reducing modal delay differences.
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33For a multimode step-index fiber with , approximately how many guided modes are supported, assuming the weak-guidance approximation?
Step-index and graded-index fibers
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a multimode step-index fiber, the approximate number of guided modes is .
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34A parabolic graded-index fiber has . Approximately how many guided modes does it support under the weak-guidance approximation?
Step-index and graded-index fibers
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For an approximately parabolic graded-index fiber, .
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35An optical signal decreases from to after traveling through of fiber. What is the average attenuation?
Losses associated with optical fibers
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The total loss is . Dividing by gives about .
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36If Rayleigh scattering is the dominant loss mechanism, how does the scattering loss change when wavelength increases from to ?
Losses associated with optical fibers
Medium
A.It increases by approximately four times
B.It decreases to approximately one-fourth
C.It decreases to approximately one-sixteenth
D.It increases by approximately sixteen times
Correct Answer: It decreases to approximately one-sixteenth
Explanation:
Rayleigh scattering varies approximately as . Doubling the wavelength reduces the loss by .
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37A fiber cable develops a sharp bend during installation, causing some guided light to radiate into the surroundings. Which loss mechanism has increased?
Losses associated with optical fibers
Medium
A.Rayleigh scattering
B.Connector reflection
C.Material absorption
D.Macrobending loss
Correct Answer: Macrobending loss
Explanation:
A bend with a visibly small radius changes the propagation geometry and allows guided modes to escape, producing macrobending loss.
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38Two fiber sections are joined with a small lateral offset between their cores. Which loss is most directly produced by this defect?
Losses associated with optical fibers
Medium
A.Splice coupling loss
B.Chromatic dispersion loss
C.Intrinsic absorption loss
D.Rayleigh scattering loss
Correct Answer: Splice coupling loss
Explanation:
Lateral core misalignment reduces overlap between the optical fields of the two fibers, causing power loss at the splice.
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39An optical fiber sensor is used near high-voltage equipment where strong electromagnetic fields are present. Why is fiber preferable to a metallic signal cable?
Applications of optical fibers
Medium
A.It is immune to electromagnetic interference
B.It produces electrical shielding currents
C.It increases the surrounding magnetic field
D.It requires a conductive return path
Correct Answer: It is immune to electromagnetic interference
Explanation:
Optical fibers are dielectric and carry light rather than electric current, so electromagnetic fields do not directly corrupt their signals.
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40In a medical endoscope, one fiber bundle illuminates internal tissue while another forms an image. What property must the imaging bundle possess?
Applications of optical fibers
Medium
A.Every fiber must support many propagation modes
B.The fibers must be randomly rearranged at each end
C.The relative positions of fibers must remain ordered
D.The cladding must absorb all reflected illumination
Correct Answer: The relative positions of fibers must remain ordered
Explanation:
A coherent imaging bundle preserves each fiber's relative position from input to output, allowing the spatial image pattern to be reconstructed.
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41An engineer claims that increasing the core refractive index will simultaneously improve confinement, eliminate absorption, and increase the maximum data rate. Which assessment is physically correct?
Introduction to fiber optics
Hard
A.Index contrast affects guidance, while absorption and data rate also depend on material loss and dispersion.
B.Core index affects absorption, while confinement and dispersion remain independent of the index profile.
C.Index contrast controls absorption, while confinement and data rate depend only on wavelength.
D.Core index controls data rate, while absorption and confinement depend only on cladding thickness.
Correct Answer: Index contrast affects guidance, while absorption and data rate also depend on material loss and dispersion.
Explanation:
Guidance is governed primarily by the core-cladding index profile. Attenuation depends on mechanisms such as absorption and scattering, while data rate is also limited by dispersion and system components.
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42A weakly guiding fiber has , , and normalized propagation constant , where What is the effective modal index?
Optical fiber as a dielectric waveguide
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Using gives , which lies between and .
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43A meridional ray in a step-index fiber with and travels at to the fiber axis. What occurs at the core-cladding boundary?
Total internal reflection
Hard
A.It undergoes total internal reflection because its axial angle exceeds the critical angle.
B.It undergoes total internal reflection because its incidence angle is greater than .
C.It propagates along the interface because its incidence angle equals the critical angle.
D.It refracts into the cladding because its incidence angle is below the critical angle.
Correct Answer: It refracts into the cladding because its incidence angle is below the critical angle.
Explanation:
The boundary incidence angle is , while . Since , total internal reflection does not occur.
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44A fiber with and is immersed in water of refractive index . Neglecting end-face curvature, what is its acceptance half-angle in water?
Acceptance angle
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The intrinsic numerical aperture is . Thus , giving .
Incorrect! Try again.
45A step-index fiber has and relative index difference . What is its exact numerical aperture in air?
Relative refractive index
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Here . Therefore .
Incorrect! Try again.
46A step-index fiber has core radius and . Determine the cutoff wavelength above which it is single-mode, using .
V-number
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At cutoff, . Hence .
Incorrect! Try again.
47Two weakly guiding multimode fibers have the same large V-number. One is step-index and the other has an ideal parabolic graded-index profile. Using the usual large- approximations, what is the ratio of their guided mode counts ?
Step-index and graded-index fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For large , a step-index fiber supports approximately modes, whereas an ideal parabolic graded-index fiber supports approximately . Their ratio is therefore .
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48A graded-index fiber follows within its core. If , , and , what is ?
Step-index and graded-index fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Substitution gives .
Incorrect! Try again.
49For a step-index fiber with and , estimate the maximum intermodal delay between the axial ray and the limiting meridional ray. Take .
Step-index and graded-index fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At the limiting condition, . Thus .
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50Two identical single-mode fibers are laterally misaligned by . Under the specified Gaussian coupling model with , what is the splice loss?
Losses associated with optical fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The efficiency is . Therefore the loss is .
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51A link contains of fiber with attenuation , five splices of each, and two connectors of each. If the launched power is , what power reaches the receiver?
Losses associated with optical fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The total loss is . Thus .
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52If Rayleigh scattering contributes at , what contribution is expected at , assuming all other conditions are unchanged?
Losses associated with optical fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Rayleigh loss varies as . Hence .
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53In a cutback measurement, the output from a fiber is . After cutting it to without changing launch conditions, the output is . What is the measured attenuation coefficient?
Losses associated with optical fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The removed length is . Thus .
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54A fiber preform purification process strongly reduces a narrow attenuation peak near but leaves the smooth background attenuation nearly unchanged. Which loss mechanism was most directly reduced?
Losses associated with optical fibers
Hard
A.Fresnel reflection from the polished fiber end face
B.Rayleigh scattering from microscopic density fluctuations
C.Macrobending radiation from insufficient bend radius
D.Hydroxyl-ion absorption from residual water impurities
Correct Answer: Hydroxyl-ion absorption from residual water impurities
Explanation:
Residual ions produce characteristic absorption bands near . Purification reduces this narrow peak without removing the smooth Rayleigh background.
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55An intensity-based fiber sensor is affected by unpredictable source-power fluctuations. Which measurement architecture best separates the sensor response from common source variations?
Applications of optical fibers
Hard
A.Use a larger-core fiber and compare its output with the launch current.
B.Add an optical attenuator and measure only the minimum received power.
C.Measure a sensing channel and a reference channel, then use their power ratio.
D.Increase source power and interpret the absolute sensing-channel power directly.
Correct Answer: Measure a sensing channel and a reference channel, then use their power ratio.
Explanation:
A ratio removes source fluctuations shared by both channels while retaining differential changes caused by the sensing element.
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56Which statement must hold for the effective index of a bound mode in an ideal core-cladding dielectric fiber with ?
Optical fiber as a dielectric waveguide
Hard
A., with no field at the interface
B., with an evanescent cladding field
C., with an oscillatory field in the cladding
D., with an evanescent field in the core
Correct Answer: , with an evanescent cladding field
Explanation:
A bound mode has a propagation constant between the core and cladding bulk values. This produces oscillatory behavior in the core and evanescent decay in the cladding.
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57A Lambertian emitter is placed directly against a large planar fiber face in air. If the fiber has and all rays inside its acceptance cone couple equally, what fraction of the emitter's hemispherical power can be accepted?
Numerical aperture
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For a Lambertian source, the power fraction inside half-angle is . In air, , so the fraction is .
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58A weakly guiding step-index fiber has . Using cutoff values , , and , which LP mode families are guided, ignoring polarization and angular degeneracy?
V-number
Hard
A., , , and
B. and only
C., , , and
D., , and only
Correct Answer: , , , and
Explanation:
The fundamental mode has no cutoff. At , the and cutoffs are exceeded, but the cutoff is not.
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59An OTDR records a reflection after launching a pulse into a fiber whose group index is . Neglecting instrument delay, how far from the OTDR is the reflecting event?
Applications of optical fibers
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The recorded time is for a round trip, so . Substitution gives .
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60A fiber with core radius and core index must remain single-mode at . Using , what is the minimum allowable cladding index?
V-number
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Single-mode operation requires . Thus .
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