Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 13, Problem 13.30P
A step index optical fiber is known to be single mode at wave-lengths
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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_forwardA wave is normally incident upon a surface with a layered lossless dielectric. Find the magnitude of effective reflection coefficient if medium 1 is free space, medium 2 has a relative permittiviy of 4 medium 3 has a permittivity of 9, and the thickness of medium 2 is 12/2. ...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
- 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) Compare E and H in dielectric and well-conducting medium with E and H in empty space.b) How can you absorb electromagnetic waves in the microwave region? Please explain.c) A spacecraft returning to Earth has 1015 m-3 ionized atoms around it and creates a density. Find the plasma frequency accordingly. Determine the cutoff wavelength taking into account communication with the ground station.arrow_forwardWhat is the value of the critical frequency of an electromagnetic wave for the D layer, if the electron density is about 400 electron/cm3?arrow_forward
- Consider an instrument that transmits radio waves at different frequencies vertically into the ionosphere and measures the time it takes them to return. Using this technique, one can indirectly measure the electron density as a function of height. Assume a ground-based transmitter emits a vertical signal that sweeps over a range of 1 to 15 MHz. If the peak electron density in the ionosphere is 2×106 electrons/cm3, what range of frequencies will be reflected back to the instrument on the ground? Neglect any absorption effects. Frequencies from _____ MHz to ____ MHz will be reflected back. Report answers to 3 significant digits.arrow_forwardType your question here We wish to coat a glass surface with an appropriate dielectric layer to provide total transmission from air to the glass at a free-space wavelength of 570 nm. The glass has refractive index ?3 = 1.45 . Determine the required index for the coating and its minimum thicknessarrow_forwardIn a uniform electromagnetic wave which is at a significant distance from the source of energy if the wave is falling from medium 1(z<0,σ=0,µr = 2,ɛr =9) to a second medium where the values are (z>0,σ=0,µr = 16,ɛr =4) . Find the values of reflection and transmission coefficient in this scenarioarrow_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_forwardResearchers had to develop semiconductor lasers that emitted at wavelengths in the 1.3 to 1.6 µm range. Use Eq. 1 of the paper to plot n(l) over the wavelength range of 0.5 to 2.5 µm for all of the glass samples listed.arrow_forwardA bucket is full of red sand: how far from the sand surface should an observer be to distinguish the grains? Consider that the grains are spheres with a diameter of 75 μm, that the light reflected by them has a wavelength of 670 nm and that the observer's pupil is 5 mm in diameter.arrow_forward
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