Uniform plane wave article about uniform plane wave by. Plane waves in free space and good conductors power and. Request pdf uniform plane waves the uniform plane wave is defined as the magnitude of the electric and magnetic fields. Wave propagation in perfect dielectric medium uniform. 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. Uniform plane waves have uniform constant properties in a plane perpendicular to their direction of propagation. 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. Uniform plane waves 1 free download as powerpoint presentation. Chapter 3, part 2 wave propagation in free space 3. In the absence of free charge and current densities the maxwell equations are. 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.
Uniform plane waves in time domain in free space the process will comprise of four steps. May 24, 2020 in this section, we identify some important characteristics of uniform plane waves, including wavelength and phase velocity. Problems on plane wave incidence, waveguides and transmission. The simplest electromagnetic waves are uniform plane waves propagating. Electric and magnetic field components in propagation direction are zero. If dedt nonzero dddt is nonzero curl of h is nonzero h is nonzero if h is a function of time e must exist. Lail 1 introduction solutions to maxwells equations produce the electromagnetic. Uniform plane wave in free space we have previously established the following properties of plane waves in free space. 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. The electric field of a uniform plane wave propagating in. Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 51.
In particular, it is a uniform plane wave since its value does not vary within a constant z plane. 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. Geometrical configurations are illustrated in figure 1. 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. Chapter 3 uniform plane waves university of houston.
Uniform plane wave article about uniform plane wave by the. Although they are the simplest, uniform plane waves are of extreme practical. Chapter 2 uniform plane wave equation and power balance. May 18, 2020 a uniform plane wave is one for which both e. Guided waves and transmission linesparallel plane waveguides. Uniform plane waves in time domain in free space to. From my understading of the theory behind em waves and. Poynting vector and poynting theorem, power loss in a plane conductor. The reflection coefficient for the normal incidence is a czero b 0. Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 25 51. Uniform plane waves derivation engineering libretexts. Osa lossless conversion of a plane laser wave to a plane.
The latter is constant over each plane perpendicular to. Oct 21, 2018 wave propagation in perfect dielectric medium video lecture from uniform plane wave chapter of electromagnetic theory subject for engineering students. Plane waves in a uniform section of tube kemp acoustics. The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction is given by 10. Suppose you have a uniform plane wave travelling from a dielectric medium towards a perfect conductor suppose the interface is planar as well. Impedance characteristics of a uniform current loop having. They are the same at all points in the direction of propagation. Plane electromagnetic waves and wave propagation 7. The spatial period of the wave the distance between two successive points of identical phase is. Jan 10, 2008 lecture series on transmission lines and e. Despite being a special case, the solution turns out to be broadly applicable, 9. In physics, a plane wave is a special case of wave or field. Consider an infinite cylindrical pipe whose central axis we label. Indraprastha institute of information technology delhi ece230 plane waves in free space contd.
Chapter maxwells equations and electromagnetic waves. A uniform plane wave travels through free space, and its instantaneous electric field intensity vector is expressed as e15cos. Plane waves gate problems part i free gate ece 2019. 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. Often more than one wave must be added to the given incident wave to satisfy all boundary conditions. They are the same at all points in the direction of. Suppose that there are neither free charges nor field sources impressed electric. 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. Magnetic field in a uniform electromagnetic plane wave x. The pressure on any plane perpendicular to is constant, so the pressure is simply a function of and time. 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.
Vm where time is in seconds, position z is in meters. 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. Chances are that much of what appears here will be familiar to the reader. Specify the modulus and direction of the electric field intensity at the z 0 plane at t 0, 5 and 10 ns. The electric and magnetic fields are orthogonal to the direction of propagation. The frequency and polarization of the wave respectively are a 1. Here is an illustration of the wavefronts of a plane wave traveling in 3space free im.
Two methods are proposed for accomplishing these aims. In addition, the wave is transverse because both fields are perpendicular to the direction of propagation. Assuming a simple dielectric, the wave equation is written as. In terms of energy, the wave phenomenon is defined as the exchange of two different forms of energy. Simple derivation of electromagnetic waves from maxwells. Waveguide notes 2020 electromagnetic waves in free space. For normal incidence of a uniform plane wave at air dielectric. Relation between electric and magnetic field for uniform plane wave. Electromagnetic waves in free space in this lecture you will learn. 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. The uniform plane wave is defined as the magnitude of the electric and magnetic fields. Here is an illustration of the wavefronts of a plane wave travelling in 3space the elec.
Also, remember that the orientation of the e field of a uniform plane. Download citation uniform plane waves the concept of uniform plane. 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. Shevgaonkar, dept of electrical engineering, iit bombay for more details on nptel visit. A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with 4.
858 481 1225 1106 64 258 617 78 1326 297 560 202 109 47 1314 1039 1024 107 875 1115 561 701 539 1252 1328 244 900 1002 518 526 940 1397 691