Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 13, Problem 13.24P
To determine
To prove:
For a given mode in a parallel-plate or rectangular waveguide the group dispersion parameter
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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 parallel-plate waveguide has plate separation d = 1 cm and is filled with Teflon having dielectric constant εr = 2.1. Determine the maximum operating frequency such that only the TEM mode will propagate. Also find the range of frequencies over which the TE1 and TM1 (m = 1) modes, and no higher-order modes, will propagate.arrow_forwardIn an air-filled rectangular waveguide, the cutofffrequency of a TE10 mode is 5 GHz, whereas that ofTE01 mode is 12 GHz. Calculate(a) The dimensions of the guide.(b) The cutoff frequencies of the next threehigher TE modes.(c) The cutoff frequency for TE11 mode if theguide is filled with a lossless material havingr = 2.25 and r = 1.arrow_forwardA waveguide suitable for propagation of the TE10 mode at 3 GHz has cross-sectional dimensions of 2.5 cm x 1 cm and is filled with a dielectric constant of unknown relative dielectric constant. For only the dominant mode to be transmitted, the relative dielectric constant must be ........<εr<.....?arrow_forward
- Discuss what waveguides are? What is the fundamental difference between propagation in waveguides and propagation in transmission lines or free space? Formulate and calculate the cutoff frequencies in it for the following modes: TE 1,1 TM 0,1 TE 0,1arrow_forwardA parallel-plate waveguide has plate separation d = 1 cm and is filled with Teflon having dielectric constant 2.1. Find the range of frequencies over which the TE1 and TM1 modes, and no higher-order modes, will propagate.arrow_forwardQUESTION 3: i. In an optical fiber laboratory experiment the following measurements were observed, the numerical aperture of 0.20 and a cladding refractive index of 1.59. Determine: a. The acceptance angle for the fiber in water. b. The critical angle at the core-cladding interface. Comment on any assumptions made about the fiber ii. Define the normalized frequency for optical fiber and explain its use in the determination of the number of guided modes propagating within a step-index fiber. iii. A step-index fiber in the air has a numerical aperture of 0.16, a core refractive index of1.45, and a core diameter of 60 µm. Determine: a. The number of guided modes propagating in the fiber when the light at a wavelength of 0.9 μm is transmitted.arrow_forward
- Calculate the numerical aperture of A step-index fiber has specified parameters for a refractive index of fiber core and cladding as 1.50 and 1.46, respectively.arrow_forwardA 9GHz signal propagates inside the rectangular waveguide that is filled with lossy dielectric material with dielectric conductivity 10-15 mhos/m, dielectric permittivity 2.2 and dielectric permeability 1.0. Use the appropriate formula to determine the guide attenuation factor if the cutoff frequency is 4.5GHz.arrow_forward20.A. If the light transmission characteristics of a fiber's cladding are important, which of the following is true about the fiber?A. Modal dispersion will limit bandwidth in this fiber.B. The fiber carries multiple modes below the cutoff wavelength.C. It's a plastic optical fiber.D. Light speeds up as it travels away from the core's center.20.B. If optical power is 1,500 microwatts at a source and 45 microwatts at a detector, loss equalsA. 15.2 dB.B. 23.2 dB.C. 30.4 dB.D. 18.4 dBarrow_forward
- Design a dielectric-filled rectangular waveguide for transmission of electromagnetic power at 2.45 GHz. Find the maximum power the waveguide can transmit. Use an electric field safety factor of 10. Neglect conduction losses. The material filling the waveguide is nonmagnetic with zero conductivity, and has r = 2.1; its breakdown electric field is 6x107 V/m.arrow_forwardA cascaded system consists of two transmission lines with different characteristic impedance, which results in reflection and standing waves. The first line has a refractive index equal to 1.1; while the second line has a dielectric constant of 2.25. If a signal traveling from the first line enters the second line at an angle of incidence equal to 30 degrees, what is the resulting angle of refraction?arrow_forwardThe cutoff frequency for TE11 mode if theguide is filled with a lossless material havingr = 2.25 and r = 1.arrow_forward
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