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 13.12P
To determine
The maximum plate separation d.
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Problem 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 fiber
3) Solve the cutoff frequency for the first mode and third mode of WR137 waveguide.
TABLE 7.1 Some Standard Rectangular Waveguides
Waveguide
designation
a (in)
b (in)
t (in)
Seo (GHz)
Frequency range (GHz)
WR975
9.750
4.875
0.125
0.605
0.75-1.12
WR650
6.500
3.250
0.080
0.908
1.12-1.70
WR430
4.300
2.150
0.080
1.375
1.70-2.60
WR284
2.840
1.340
0.080
2.08
2.60-3.95
WR187
1.872
0.872
0.064
3.16
3.95-5.85
WR137
1.372
0.622
0.064
4.29
5.85-8.20
WR90
0.900
0.450
0.050
6.56
8.2-12.4
WR62
0.622
0.311
0.040
9.49
12.4-18
A rectangular waveguide has a dimension of (3X2) cm is used to
transmit a signal of 9 GHz.
Determine cutoff wavelength for dominant mode.
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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- 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_forwardAn air-filled rectangular waveguide is to be constructed for single-mode operation at 15GHz. Specify the guide dimensions a and b, such that the design frequency is 10 percent higher than the cutoff frequency for the TE10 mode, while being 10 percent lower than the cutoff frequency for the next-higher-order mode. Uarrow_forwarda) 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_forward
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- The cutoff frequency is operating at 6 GHz has In an air-filled waveguide, a TE mode E. = 15 sin %3D COS TCy sin (ot-122) Vm (B) 5.973 GHz (A) 4.189 GHz ( (D) 7.946 GHz (C) 8.438 GHzarrow_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_forward(V.3) A common commercial size of rectangular hollow-conductor waveguide has (inner) dimensions a = 2.286 cm by b = 1.016 cm. (a) What is the single-mode bandwidth of this size waveguide frequency range (in gigahertz) within which the TE10 mode propagates but the next higher mode does not? [Most practical waveguide systems are operated under this single-mode condition.] that is, what is the (b) The maximum field strength that air can support without breakdown is about 50,000 V/cm (at standard atmospheric pressure). What is the maximum power that can be trans- mitted by this size waveguide at frequencies within the single-mode band?arrow_forward
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