Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 13, Problem 13.32P
To determine
The expected mode field radius at
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Determine the cutoff wavelength for a step-index fiber to exhibit
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What will be the cutoff wavelength for dominant mode in rectangular
waveguide whose length is 10 cm?
(2)
Determine the cutoff wavelength for a step index fiber to exhibit single-mode opera-
tion when the core refractive index and radius are 1.46 and 4.5 um, respectively.
Chapter 13 Solutions
Engineering Electromagnetics
Ch. 13 - The conductors of a coaxial transmission line are...Ch. 13 - Prob. 13.2PCh. 13 - Prob. 13.3PCh. 13 - Find R, L, C, and G for a two-wire transmission...Ch. 13 - Prob. 13.5PCh. 13 - Consider an air-filled coaxial transmission line...Ch. 13 - Pertinent dimensions for the transmission line...Ch. 13 - A transmission line constructed from perfect...Ch. 13 - Prob. 13.9PCh. 13 - Two microstrip lines are fabricated end-to-end on...
Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Prob. 13.13PCh. 13 - Prob. 13.14PCh. 13 - For the guide of Problem 13.14, and at the 32 GHz...Ch. 13 - Prob. 13.16PCh. 13 - A parallel-plate guide is partially filled with...Ch. 13 - Prob. 13.18PCh. 13 - Prob. 13.19PCh. 13 - Two rectangular waveguides are joined end-to-end....Ch. 13 - Prob. 13.21PCh. 13 - Consider the TE11 mode in a rectangular guide...Ch. 13 - Prob. 13.23PCh. 13 - Prob. 13.24PCh. 13 - Prob. 13.25PCh. 13 - Prob. 13.26PCh. 13 - Prob. 13.27PCh. 13 - Prob. 13.28PCh. 13 - An asymmetric slab waveguide is shown in Figure...Ch. 13 - A step index optical fiber is known to be single...Ch. 13 - Prob. 13.31PCh. 13 - Prob. 13.32P
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- a) Define Guide wavelength with the formula? b) A rectangular waveguide working in dominant electric mode has an operating frequency of 10 GHz and the highest cut-off wavelength the waveguide can allow is 4.58 cm. What is the broader dimension of the waveguide.arrow_forward2. Up to this point, you have relied on the boundary conditions to solve the mode fields in a waveguide or a resonant cavity. What is the most-used boundary condition you used for a structure with conducting boundaries?arrow_forwardWhat does the TE mean? Why does one have a 10 as subscript and the other mn? What is a broad and short dimension and a rectangular waveguide?arrow_forward
- For dominant mode propagation in TE mode, if the rectangular waveguide has a broader dimension of 31.14 mm , then the cut-off wave number: a) 100 b) 500 c) 50 d) 1000arrow_forwardA 2.28-cm by 1.01-cm waveguide is filled with a dielectric material with er = 2.25. The waveguideoperate at 15GHZ. For TE11 and TE02 mode which mode will propagete.arrow_forwardA 2 V signal is incident to the interface from a 75 Ohm region propagating to a 50 Ohm impedance region. What is the reflection coefficient? What is value of the incident, reflected and transmitted wave? What voltage would you measure on either side of the interface right after the signal goes through the interface.arrow_forward
- A single mode fibre is to be dimensioned. The normalised frequency is 80 % of the maximum allowed for single mode condition. The relative refractive index difference is 0.005 and the refractive index of the core is 1.5. The wavelength is 1.5 µm. A. Determine the radius of the core. B. If the number of modes supported by this fiber is 5. Determine the radius of the core.arrow_forwardThe cutoff wavelength for a step-index fiber is 1400 nm. How many modes can propagate at a signal wavelength of a) 1550 nm, b) 1100 nm, and c) 750 nm? Consider different polarizations as different modes.arrow_forward2. A symmetric dielectric slab waveguide is to guide light at wavelength A= 1.30 µm. The slab thickness is to be d = 5.00 um, and the refractive index of the surrounding material is n2 = 1.450. %3D Determine the maximum allowable refractive index of the slab material that will allow single TE and TM mode operation.arrow_forward
- A 2 V signal is incident to the interface from a 75 Ohm region propagating to a 50 Ohm impedance region. What is the reflection coefficient? What is value of the incident, reflected and transmitted wave? What voltage would you measure on either side of the interface right after the signal goes through the interface. For the interface, I'm a little confused. I used a voltage divider and got V_transmitted = 0.8 and V_incident = 1.2. But shouldn't they be the same?arrow_forward3.9 Explain what is meant by the critical bending radius for an optical fiber. A multimode graded index fiber has a refractive index at the core axis of 1.46 with a cladding refractive index of 1.45. The critical radius of curvature which allows large bending losses to occur is 84 um when the fiber is transmitting light of a particular wavelength. Determine the wavelength of the transmitted light. Ans: 0.86 µmarrow_forwardProblem 4 to separate ITU channel 59 using a fiber Bragg grating (FBG) and an optical circulator. The FBG is made from a fiber with an effective index of refraction of the core of 1.48 at You are to implement a simple one-channel demultiplexer ITU channel 59. a.) Draw a diagram of the demultiplexer b.) Calculate the periodicity of the index of refraction modulation in the core of the FBG fiberarrow_forward
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