EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 8220100663659
Author: ULABY
Publisher: PEARSON
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Chapter 8, Problem 26P
(a)
To determine
The expression for the maximum data rate
(b)
To determine
The maximum data rate
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Q1) A step-index fiber having a 25 um core radius, n=1.48, and n=1.46.
a) Find the numerical aperture.
b) Find the normalized frequency at 820 nm.
c) How many modes propagate in this fiber at 820 nm.
Q2) Use an appropriate software program to plot the refractive index
profiles n(r) as a function of the radial distance r for graded index fibers
that have profile parameters a values of 2, 6, and 12. The fibers have
n =1.49 (at fiber axis), A=0.01 and core radius a= 30 pum. (plot for
- 2a
Please with the solution to this problem.
Q. (a)Two nicols are first crossed and then one of them is rotated through 600. Calculate the percentage of incident light transmitted.
Q. (b)Two nicols are oriented with their principal plane making an angle of 600.What percentage of incident unpolarized light will pass through the system?
Q.The signal retrieved in an optical fiber reduces at its output to one-tenth of its input power. What is the overall attenuation? What shall be the power at output in a fiber having loss3 db/km?
Chapter 8 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 8.1 - Prob. 1CQCh. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ
Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9ECh. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13ECh. 8.10 - Prob. 14ECh. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5PCh. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28PCh. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39PCh. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47P
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- 1) The field of view for a step index optical fiber increases a) Relative refractive index difference A decreases. b) Relative refractive index difference A increases. c) Core diameter increases. d) Cladding diameter decreases. 2) The coupling efficiency between the optical source and the fiber depends on: a) Radiation pattern of the source. b) Numerical aperture of the fiber c) Longitudinal displacement between the source and the fiber. d) All of the above. 3) A transverse electric mode in a cylindrical dielectric guide is represented by: a) TE (m b) TM c) HE Im 4) The maximum transmitted bit rate over an optical fiber depends on: a) Attenuation constant x c) Coupling coefficient n 5) Single Mode Fiber has the following advantage: a) Simple handling c) Large core diameter m b) Dispersion coefficient M. d) None of the above b) Low dispersion d) Small Mode field diameter. 6) The following optical fiber type has the largest Bandwidth. a) Single Mode Step Index fiber c) Multimode Graded…arrow_forward2.4 Sa K/s 3G 22 9:58 CH1. Review questions 0 class comments Q1. Find the core diameter for a SMF in the 2nd window if ncore=1.48 & ncladd=1.478 ? Q2. If an incoming ray into a fiber with ncore=1.485 & ncladd=1.47 has an incidence angle of 28(degree) , what's the behaviour of the propagation path along the fiber? Q3. Derive an expression for the chromatic dispersion in a SMF. Q4. If (120 uW) is launched in an (8 km) length fiber,when measuring the Po result was(3 uW) . Calculate Po after (10 km) after adding splices at (1 km) intervals, each giving an attenuation of (1 dB)? Your work No due date + Add workarrow_forwardExercise 8.4 A parallel-polarized beam of light with an electric field amplitude of 10 (V/m) is incident in air on polystyrene with Hr = 1 and &r = 2.6. If the incidence angle at the air-polystyrene planar boundary is 50 , determine the following: (a) The reflectivity and transmissivity. (b) The power carried by the incident, reflected, and transmitted beams if the spot on the boundary illuminated by the incident beam is 1 m2 in area.arrow_forward
- In a Young's interference experiment, the distance between two slits is 0.5 mm and a perpendicular distance between slits and observation screen is 1 m. www. 1) When the plane incident light beam has a wavelength of 600 nm, what are the locations of the 1st and the 3rd order of interference pattern maxima as well as the distance between two maxima on the observation screen? 2) When using the second incident light to repeat above Young's experiment, one observes that location of the 4th order of interference pattern maxima is the same as the location of the 3rd order of the maximum interference pattern when using the previous light (λ = 600 nm). What is the wavelength of the second light beam?arrow_forwardSolve itarrow_forwardd)Last digit=4e)Last two digit =24arrow_forward
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- The figure below shows a radio-wave transmitter and a receiver separated by a distance d = 47.0 m and both a distance h = 27.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180° phase shift occurs upon reflection. Determine the longest wavelengths that interfere in the following ways. O Transmitter Receiver (a) constructively (b) destructivelyarrow_forward1. A wave is specified by y=8cos2n(21-0.5z)where y is expressed in micrometer and the propagation constant is given by um-1.The wavelength in u is equal to; a. 1.25 b. 2 c. 1 d. 2.5 2. At 0.82 µm for a step-index fiber having a 25-µm core radius. n1 = 1.48, and n2= 1.46. The number of modes propagate in this fiber is; a. 1081 b. 1001 c. 1091 d. None of these. 3. The phenomenon which occurs when an incident wave strikes an interface at an angle greater than the critical angle with respect to the normal to the surface is called as a. Refraction b. Partial internal reflection C. Total internal reflection d. Limiting case of refraction. 4. A step-index fiber is constructed with n1 = 1.450, n2 = 1.445, and radius a = 4.0 μm, the operating wavelength is λ = 1.55 μm. This fiber is; a. A single mode fiber b. A multimode fiber C. None of these. 5. The estimated material dispersion effect per km of silica fiber operated from a light- emitting diode (LED) emitting at 1.31 um with a linewidth of…arrow_forwardConsider a GaAs LED with a refractive index of 3.66. The LED's surface is coated with a dielectric with a refractive index of 2.07. Some of the emitted photons are not transmitted due to internal reflection. What is the minimum angle of incidence for total internal reflection to occur? Express your answer in degree (°).arrow_forward
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