Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 13, Problem 13.11P
To determine
The parallel plate waveguide modes that it propagates.
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2. 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.
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 %.
Q2)
A parallel-plate waveguide is known to have a cutoff wavelength for
the m= 1 TE and TM modes of c1= 4.1 mm. The guide is operated at
wavelength λ = 1.0 mm. How many modes propagate?
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 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) 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 12.4–18arrow_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_forward
- A 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 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 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
- 4) Determine the first four modes with the lowest cutoff frequencies in an rectangular waveguide with dimensions a = 3 cm. and b = 4 cm. where ɛ, = 3, µ, = 1. Determine the wavelength of the dominant mode. (H,E)arrow_forwardIn TE01 mode of wave propagation in an air-filled rectangular waveguide, if the * broader dimension of the waveguide is 2 cm, then the cutoff frequency is 5 MHz 7.5 MHz non of mentioned 5 GHz 7.5 GHz :If propagation is assumed to be in x direction then TM means that Ex=0 Ez=0 and Hz=0 Hx=0 Non of mentioned Hz=0 Ez=0arrow_forwardA K band rectangular waveguide has dimensions of a = 1.052 cm and b = 0.432 cm. Calculate the cutoff frequency for TE11 mode if the guide is filled with Teflon whose permittivity is = 2.3arrow_forward
- 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.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_forward4. 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_forward
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