Concept explainers
An example of a nonuniform plane wave is a surface or evanescent wave, an example of which, in pharos form, is shown here, exhibiting diminishing amplitude with x while propagating in the forward z direction:
Such fields form part of the mode structure in dielectric waveguides, as will be explored in Chapter 13. (a) Assuming free-space conditions, use Eq. (23) to find the associated magnetic field, H,(z) (note that there will be two components), (b) Find a as a function of đ�›½, đ�œ”, e0. and đ�œ‡0: such that all of Maxwell’s equations are satisfied by the electric and magnetic fields.
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Engineering Electromagnetics
- Electromagnetic wave is propagating through a dielectric medium with relative permeability of 2.5 and relative permittivity of 12. What will be the velocity of the electromagnetic wave?arrow_forwardExample Light wave with A, = 5nm passes into fiber cable with n, = 2.4. Find the wave's speed and wavelength in the fiber. %3D ans: v = 1.25x10% m/s 1 = 2.08 nmarrow_forwardRectangular metal wave guide.arrow_forward
- 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.arrow_forwardfor non magnetic material having relative permeability of 2.25 sigma= 10^-4 S/m. find loss tangent, attenuation constant, phase constant, and intrinsic impedance for a wave having a frequency of 2.5MHz. assume material to be a good dielectric.arrow_forwardBy doping semiconductors, it is possible to create materials with specifically designed electromagnetic properties for waves propagating within them. The following 1-D plane wave at a frequency of 10THz propagates in a heavily n-doped silicon: Ē = Ẽ ejot = Ēejat e¯jyz At this frequency and the doping level, the conductivity of the medium is o=105 Sm'. The wave loses 3 dB of intensity (power) over a length of 184 nm. Assume the permittivity of the medium is purely real. Find a. the amplitude attenuation constant, a b. the relative permittivity of the medium, &, c. the wave velocity, varrow_forward
- A uniform plane electromagnetic wave incident normally on a planesurface of a dielectric material is reflected with a VSWR of 3. What is the percentage of incident power that is reflected?arrow_forwardA rectangular waveguide has dimensions a = 6 cm and b = 4 cm.a) Over what range of frequencies will the guide operate single mode?b) Over what frequency range will the guide support both TE10 and TE01modes and no others?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
- Problem 6. In what situations are the group and phase velocities equal for an electromagnetic wave?arrow_forward2. For a slab dielectric waveguide with n₁, n₂ for the refractive indices of the core and classing, respectively, what is the minimum slab thickness to accommodate two TE modes propagating in it? The mode's vacuum wavelength is 2o.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_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,