Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 7, Problem 7.22P
To determine
The thickness of polystyrene slab so it will propagate through single mode.
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P 2.7a
What will be the cutoff wavelength for dominant mode in rectangular
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What is the fourth mode that can propagate in a hollow and square waveguide?
In a rectangular hollow waveguide with side lengths ratio b / a = 1/3, only TE modes will be excited.
a. Write the first 5 cutoff frequencies in order of magnitude and indicate the corresponding modes.
b. Long edge 6 cm. In what range should the operating frequency be selected to emit only the first mode when received
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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- 4. A particular planar waveguide comprises a guiding layer of refractive index equal to 1.454 bound top and bottom by material of refractive index 1.450. a) What is the maximum thickness of this waveguide for single-mode operation at a wavelength of 1550 nm. b) If the thickness of the above waveguide is reduced to 70% of the maximum for single mode operation at 1550 nm, what is the new cut-off wavelength for single-mode operation? ANS: a) 7.19 μm and b) 1.08 µm.arrow_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_forwardWhy does TEM mode cannot propagate in rectangular waveguides?arrow_forward
- What are em and he modes? How do they differ from te and tem modes? What is a single mode waveguide and why is it 0th order mode?arrow_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_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
- 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 12.4-18arrow_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_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
- calculate the ratio of the cross section of a circular waveguide to that of the rectangular waveguide if each is to have the same cut off wavelength for its dominant mode. Note that for standard rectangular waveguide b=a/2arrow_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_forwardA parallel plate waveguide has plate separation of 1.5cm and filled with a perfect dielectric of dielectric constant 6. Find the cutoff frequency dominant TM mode.arrow_forward
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