Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 7, Problem 7.29P
To determine
The minimum value of cladding step index
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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.
What 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?
3) Solve the cutoff frequency for the first mode and second mode of WR975 Wave guide
TABLE 7.1 Some Standard Rectangular Waveguides
Waveguide
de signation
a (in)
b (in)
t (in)
fe, (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
Chapter 7 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 7 - Find the cutoff frequency for the first eight...Ch. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Calculate uG the wavelength in the guide, and the...Ch. 7 - Consider WR975 filled with polyethylene. Find (a)...Ch. 7 - Plot up and wavelength in the guide as a function...Ch. 7 - WR90 waveguide is to be operated at 16 GHz....Ch. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Suppose a length of WR137 waveguide operated at...
Ch. 7 - Prob. 7.11PCh. 7 - Prob. 7.12PCh. 7 - Find an expression for the magnetic field of the...Ch. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - Prob. 7.16PCh. 7 - Compose a program that will plot the left and...Ch. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - Prob. 7.20PCh. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - Suppose nf=1.475 and nc=1.470. Determine the...Ch. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Assume that the coupling efficiency from a typical...Ch. 7 - Prob. 7.32PCh. 7 - Prob. 7.33P
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- 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_forward*:For a certain mode, in a rectangular waveguide, propagation occurs for signals Information are not sufficient to decide O Whose frequency is above the cut off frequency Whose frequency is below the cut off frequency Depending on the dimensions of the waveguide and dielectric O The dominant mode of propagation is preferred with rectangular waveguides * because we can use air as dielectric O it is easier than other modes and leads to smallest dimension of waveguide it is easier than the other modes it leads to smallest dimension of waveguide none of metionedarrow_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_forward
- What is a waveguide? What is a slab waveguide? What is a planar waveguide? What is thin slab?arrow_forwardFor 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_forwardFor multimode step-index fiber with core index of 1.68 and radius of 35 um. The index difference is 3.75%. For a wavelength of 1150 nm, the optical power propagating in cladding is what percentage of total power? (a) 2.1% (b) 2.5% (c) 1.8% (d) 1.4%arrow_forward
- Determine the cutoff wavelength for a step-index fiber to exhibit single-mode operation when the core refractive index is 1.46 and the core radius is 4.5 um, with the relative index difference of 0.25 %.arrow_forwardA 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_forwardP 2.7a What will be the cutoff wavelength for dominant mode in rectangular waveguide whose length is 10 cm? (2)arrow_forward
- A grating has 1000 lines/mm of width. How wide must the grating be in order to resolve the mode structure of a HeNe laser beam of wavelength 633 nm? The frequency difference between the modes is 450 MHz.arrow_forwardWhat is field pattern in a. Rectangular waveguide?b. TE mode in rectangular waveguide?c. TM mode in rectangular waveguide?arrow_forward3) 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 12.4-18arrow_forward
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