Wave propagation in perfect dielectric medium video lecture from uniform plane wave chapter of electromagnetic theory subject for engineering students. Jan 10, 2008 lecture series on transmission lines and e. Guided waves and transmission linesparallel plane waveguides. Shevgaonkar, dept of electrical engineering, iit bombay for more details on nptel visit. Discuss the similarities and dissimilarities of uniform. Since solutions for each component are simply additive we can illustrate properties by choosing any. Plane waves a uniform plane wave is a particular solution of maxwells equations with e assuming the same direction, same magnitude, and same phase in infinite planes perpendicular to the direction of propagation similarly for h. Waves whose constant phase fronts are planar plane waves and whose. Here is an illustration of the wavefronts of a plane wave travelling in 3space the elec. Properties of uniform plane waves to simplify the algebra involved lets consider the nature of a wave propagating in the z direction. The sign the product depends on the direction of power. In guided media, the electric field e and magnetic field h are perpendicular to each other. 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.
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. Often more than one wave must be added to the given incident wave to satisfy all boundary conditions. In addition, the wave is transverse because both fields are perpendicular to the direction of propagation. Plane waves and wave propagation augustin jean fresnel 1788 1827 november 9, 2001 contents 1 plane waves in uniform linear isotropic nonconducting media 2. Wave propagation in perfect dielectric medium uniform. Ulaby, eric michielssen, and umberto ravaioli, fundamentals of applied electromagnetics c 2010 prentice hall exercise 1. Here is an illustration of the wavefronts of a plane wave traveling in 3space free im. Uniform plane waves derivation engineering libretexts. 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.
Wave propagation in perfect dielectric medium uniform plane. Plane waves in free space and good conductors power and. You might find it helpful to draw the vector diagram for each wave to be sure you have the directions correct. The uniform plane wave is defined as the magnitude of the electric and magnetic fields. Oct 21, 2018 wave propagation in perfect dielectric medium video lecture from uniform plane wave chapter of electromagnetic theory subject for engineering students. Chapter 3 uniform plane waves university of houston. These simple rules show that there can never be component of the field in the direction of propagation of a uniform plane wave field.
So for this propagating plane wave we can see that e and h must always be perpendicular to one another and that both are perpendicular to the vector direction of the propagation constant. Here, k is the wave number, which is related to the wavelength of the wave by the equation 2 k. 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. For normal incidence of a uniform plane wave at air dielectric. In each case below please briefly indicate your method, equations, or reasoning.
A uniform plane wave in an unusual gaseous medium characterized by. Convection and conduction currents, dielectric constant, lsotropic and. H wm2 44 equation 44 is known as the poyting vector. The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction is given by 10. Uniform plane waves have uniform constant properties in a plane perpendicular to their direction of propagation. The reflection coefficient for the normal incidence is a czero b 0. The wave is polarized in the x direction by convention, we use the direction of e to specify the polarization of an.
The electric and magnetic fields are orthogonal to the direction of propagation. Intrinsic impedance of a lossless medium analogy to zo h x,y,z e x,y,z k x,y,z phasor form. 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. Problems on plane wave incidence, waveguides and transmission. Poynting vector and poynting theorem, power loss in a plane conductor. Magnetic field in a uniform electromagnetic plane wave x.
Electrostaticscoulombs law and electric field intensity fields due to continuous charge distributions, electric flux density, gauss law and its applications, electric potential, relations between e and v, maxwells two equations for electrostatic fields, energy density, illustrative problems. A combination of and is called a uniform plane wave because fields have same magnitude throughout any transverse plane. Where the field of a uniform plane wave is given by. Chapter maxwells equations and electromagnetic waves. Uniform plane waves do not exist in practice because they cannot be produced by. Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 25 51. Although the uniform plane wave is a very idealized case, it can adequately model many practical situations in wireless communications, radars, etc. 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. If locus is a circle the wave is said to be circularly polarized if locus is a straight line the wave is said to be linearly polarized if locus is an ellipse the wave is said to be elliptically polarized polarization.
In physics, a plane wave is a special case of wave or field. Since e, h, and k form a righthanded system, the power ows in the direction of wave propagation. Ranga rodrigo university of moratuwa uniform plane waves november 7, 2008 11 51. Uniform plane waves 1 free download as powerpoint presentation. The basic understanding of the electromagnetic wave propagation in medium is provided by the basic concept of uniform plane wave. Uniform plane waves are composed of electric and magnetic field vectors whose directions are perpendicular to the wave propagation direction. In terms of energy, the wave phenomenon is defined as the exchange of two different forms of energy. The frequency and polarization of the wave respectively are a 1. 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. Suppose we have two waves with the same amplitude a.
The latter is constant over each plane perpendicular to. A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with 4. Assuming a simple dielectric, the wave equation is written as. The polarization of a wave is described by the locus of the tip of the e vector as time progresses at a fixed point in space.
Aug 31, 20 uniform plane waves are composed of electric and magnetic field vectors whose directions are perpendicular to the wave propagation direction. Hence, e and h for each travelling wave are related through a simple multiplication operation. They are the same at all points in the direction of. They are the same at all points in the direction of propagation.
In practice, plane wave does not exist because practical wave sources are always finite in extent. Recall 0 where the field of a uniform plane wave is given by the magnetic field i s th. Plane electromagnetic waves and wave propagation 7. Please note the formulas provided on a separate sheet. In the absence of free charge and current densities the maxwell equations are. 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. Despite being a special case, the solution turns out to be broadly applicable, 9.
The average power density of the wave is 10 watts per square meter. Traveling wave function by dividing the distance traveled by the time taken, the velocity of propagation of the wave. 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. Uniform plane waves have uniform constant properties in a plane perpendicular to their direction of.
The time varying fields which can exist in an unbound, homogeneous medium, are constant in a plane containing the field vectors and have wave motion. Uniform plane wave article about uniform plane wave by. Its name refers to the shape of a wave front constant phase surfaces, perpendicular to the direction of propagation of a propagating wave. 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. Pdf polarization of the uniform plane wave shreyans. Request pdf uniform plane waves the uniform plane wave is defined as the magnitude of the electric and magnetic fields.
Uniform plane wave article about uniform plane wave by the. The above plane wave is uniform and a constant in the xyplane and propagating in the zdirection. In particular, it is a uniform plane wave since its value does not vary within a constant z plane. Lecture 7 more on constitute relations, uniform plane wave. Discuss the similarities and dissimilarities of uniform plan. The simplest electromagnetic waves are uniform plane waves propagating along some fixed direction, say the zdirection, in a lossless medium. They form an em wave that has no electric or magnetic field components along the direction of propagation such a wave is called transverse electromagnetic tem wave. Maxwells theory predicts the existence of specific electromagnetic fields, known as electromagnetic waves. A uniform plane wave is propagating in air and incident normally on a lossless dielectric medium. 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.
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