The uniform plane wave is a fundamental concept in electro magnetics and it is the simplest solution to the maxwells equation for time varying fields in an unbound, homogeneous. Relation between electric and magnetic field for uniform plane wave. They are the same at all points in the direction of. In addition, the wave is transverse because both fields are perpendicular to the direction of propagation. Simple derivation of electromagnetic waves from maxwells. Assuming a simple dielectric, the wave equation is written as. Suppose you have a uniform plane wave travelling from a dielectric medium towards a perfect conductor suppose the interface is planar as well. Wave propagation in perfect dielectric medium uniform. Electromagnetic wave equation in free space uniform plane wave solutions of the wave equation energy and power of electromagnetic waves ece 303 fall 2007 farhan rana cornell university basic wave motion v. May 11, 2016 the electric field of a uniform plane wave propagating in free. The simplest electromagnetic waves are uniform plane waves propagating. Problems on plane wave incidence, waveguides and transmission.
Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 25 51. In uniform plane wave theory we will arrive at a situation that considering tem wave travelling in z direction with electric field having only x component and magnetic field having only y component. Here is an illustration of the wavefronts of a plane wave travelling in 3space the elec. Created by the best teachers and used by over 51,00,000 students. Impedance characteristics of a uniform current loop having.
Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 51. Waveguide notes 2020 electromagnetic waves in free space. Uniform plane waves page 3 if we use the permittivity and permeability of free space, we obtain the speed of light c 1 p 0 0 2. Sep 11, 2015 uniform plane wave and wave equation the basic understanding of the electromagnetic wave propagation in medium is provided by the basic concept of uniform plane wave.
Suppose that there are neither free charges nor field sources impressed electric. The frequency and polarization of the wave respectively are a 1. Two methods are proposed for accomplishing these aims. Download citation uniform plane waves the concept of uniform plane. The electric and magnetic fields are orthogonal to the direction of propagation. Plane electromagnetic waves and wave propagation 7. The latter is constant over each plane perpendicular to.
Uniform plane waves derivation engineering libretexts. Plane waves in free space and good conductors power and. Also, remember that the orientation of the e field of a uniform plane. From my understading of the theory behind em waves and. If dedt nonzero dddt is nonzero curl of h is nonzero h is nonzero if h is a function of time e must exist. Vm where time is in seconds, position z is in meters. Guided waves and transmission linesparallel plane waveguides. May 18, 2020 a uniform plane wave is one for which both e. The reflection coefficient for the normal incidence is a czero b 0. Reflection and refraction of plane waves normal and oblique incidences, for both perfect conductors and perfect dielectrics, brewster angle and total internal reflection, surface impedance.
Specify the modulus and direction of the electric field intensity at the z 0 plane at t 0, 5 and 10 ns. May 24, 2020 in this section, we identify some important characteristics of uniform plane waves, including wavelength and phase velocity. Uniform plane waves in time domain in free space to. In physics, a plane wave is a special case of wave or field. Chances are that much of what appears here will be familiar to the reader. Uniform plane waves have uniform constant properties in a plane perpendicular to their direction of propagation. Plane waves in a uniform section of tube kemp acoustics. In the absence of free charge and current densities the maxwell equations are. In terms of energy, the wave phenomenon is defined as the exchange of two different forms of energy. Electromagnetic waves in free space in this lecture you will learn.
The uniform plane wave is defined as the magnitude of the electric and magnetic fields. Impedance characteristics of a uniform current loop having a spherical core the general solution for the electromagnetic field due to a uniform current loop in the presence of a sphere has been given by c. Poynting vector and poynting theorem, power loss in a plane conductor. The time average of s over one or more cycles is called the wave intensity, i, which gives the very important result that the intensity of a light wave is proportional to the square of the amplitude of the electric or magnetic fields.
Despite being a special case, the solution turns out to be broadly applicable, 9. A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with 4. Chapter maxwells equations and electromagnetic waves. Lail 1 introduction solutions to maxwells equations produce the electromagnetic. Consider an infinite cylindrical pipe whose central axis we label.
The pressure on any plane perpendicular to is constant, so the pressure is simply a function of and time. Although they are the simplest, uniform plane waves are of extreme practical. Uniform plane wave in free space we have previously established the following properties of plane waves in free space. They are the same at all points in the direction of propagation. Indraprastha institute of information technology delhi ece230 plane waves in free space contd. Uniform plane waves 1 free download as powerpoint presentation. Electric and magnetic field components in propagation direction are zero. The electric field of a uniform plane wave propagating in. The spatial period of the wave the distance between two successive points of identical phase is. Shevgaonkar, dept of electrical engineering, iit bombay for more details on nptel visit. The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction is given by 10.
Wave propagation in perfect dielectric medium uniform plane. Often more than one wave must be added to the given incident wave to satisfy all boundary conditions. Plane waves gate problems part i free gate ece 2019. Osa lossless conversion of a plane laser wave to a plane. Uniform plane wave article about uniform plane wave by the. Chapter 3 uniform plane waves university of houston. Dec 14, 2016 in the physics of wave propagation, a plane wave also spelled planewave is a wave whose wavefronts surfaces of constant phase are infinite parallel planes. Interest has recently been shown in methods of converting the plane wave from a laser in the uniphase tem0,0 mode to a plane wave having a uniform irradiance over a required cross section, and b all the power of the original beam. We will begin by treating lossless plane wave propagation in such a pipe. Apr 15, 2019 in the physics of wave propagation, a plane wave also spelt plane wave is a wave whose wavefronts surfaces of constant phase are infinite parallel planes.
Chapter 3, part 2 wave propagation in free space 3. Oct 21, 2018 wave propagation in perfect dielectric medium video lecture from uniform plane wave chapter of electromagnetic theory subject for engineering students. In particular, it is a uniform plane wave since its value does not vary within a constant z plane. Similarly to the uplink case, the ambient electric field can be composed of single or multiple plane waves arriving form random directions, with various propagation characteristics. Chapter 2 uniform plane wave equation and power balance. Uniform plane waves in time domain in free space the process will comprise of four steps.
Turning to the downlink radiations, throughout this study we assume that the electric field emitted by the base station is considered as a uniform plane wave. A uniform plane wave travels through free space, and its instantaneous electric field intensity vector is expressed as e15cos. Uniform plane wave article about uniform plane wave by. Jan 10, 2008 lecture series on transmission lines and e. Geometrical configurations are illustrated in figure 1. Here is an illustration of the wavefronts of a plane wave traveling in 3space free im. Request pdf uniform plane waves the uniform plane wave is defined as the magnitude of the electric and magnetic fields. Magnetic field in a uniform electromagnetic plane wave x.591 672 294 159 1468 273 224 39 1224 17 13 1052 1438 839 415 1429 424 1069 591 1226 438 458 842 694 364 407 513 468 1014 1514 334 875 1365 215 267 35 628 658 219