Media of finite, semiinfinite, and infinite extent are treated. For perpendicular polarization the electric and magnetic fields are determined by e x, the xcomponent of the electric field. Here, we report the fabrication of a graphenebased bragg grating onedimensional photonic crystal and experimentally demonstrate the excitation of surface electromagnetic waves in. Another important consideration is the effect of the air to water interface.
The electromagnetic wave propagation through a stratified inhomogeneous anisotropic medium by f. Surprisingly, exact closedform results can be obtained for arbitrary n. Wait guides you through a broad range of physical problems using a wealth of experimental data that is particularly relevant to current studies of radiowave transmission in both terrestrial and extraterrestrial environments. Propagation of electromagnetic waves in thin dielectric.
Excitation of surface electromagnetic waves in a graphene. Electromagnetic propagation in birefringent layered media. Bsw show an exponential decay of the field inside the layered medium and in the air. The procedure followed in analyzing electromagnetic scattering by irregular layered structures, in which the heights of the interfaces as well as the medium parameters fluctuate laterally, is such that all the simplifying assumptions introduced in order to make the rigorous solutions to the problems more tractable, are made a posteriori rather than a prior. These solutions are compared to the numerical solutions of the exact dispersion relations, and applications to homogenization problems are discussed. Revised edition including supplemented material international series of monographs in electromagnetic waves kindle edition by wait, james r. This site is like a library, use search box in the widget to get ebook that you want.
Download fulltext pdf download fulltext pdf electromagnetic wave propagation in almost periodic media article pdf available in ieee transactions on antennas and propagation 271. Electromagnetic waves in stratified media 1 introduction electromagnetic wave propagation in inhomogeneous media is investigated both in the frequency domain and in the time domain. Propagation of electromagnetic waves in extremely dense. Electromagnetic waves in stratified media provides information pertinent to the electromagnetic waves in media whose properties differ in one particular direction. Ch 6, bloch waves in layered media the bloch waves are normal modes of propagation so and each mode is composed of plane wave components of amplitude ek2. A rapidly modulated stratified medium with a large mass density modulation depth lmmd is proposed to achieve nondiffraction propagation ndp of. At arbitrary layer parameters, the amplitude and the polarization characteristics intensity, polarization azimuth, and ellipticity of reflected and transmitted electromagnetic waves are studied as functions of the angle of the wave incidence onto the structure. Frequencydependent impedance and surface waves on the. By stratified host medium we mean that the refractive index a quantity for describing the inhomogeneity of the medium of the medium is a function of one variable except in a.
Hong, electromagnetic propagation in periodic stratified media. Optical waves in layered media download by pochi yeh pdf pypdf. Double refraction birefringence, optical rotation, polarization effects, electrooptical effects. Bloch waves and bandgaps san jose state university. Volume 3 of international series of monographs on electromagnetic waves. We derive the related dispersion relation for waves along the boundary of a stratified halfspace and determine the relationship between the loss parameter, frequency and wavenumber for which interfacial waves exist. As long as the constitutive relations are as given in eq. The basic problems we consider are the inverse scattering of timeharmonic acoustic or electromagnetic waves by a penetrable non stratified inhomogeneous medium of compact support and by a bounded impenetrable obstacle in a stratified host medium. Revised edition including supplemented material international series of monographs in electromagnetic waves. The propagation of electromagnetic waves in a stratified. The equations of propagation of electromagnetic waves in a stratified medium i.
The electromagneticwave propagation through a stratified inhomogeneous anisotropic medium by f. An iterative technique for calculating the propagation coefficient for electromagnetic waves traveling along a stratified medium. Such applications require accurate propagation predictions for a variety of path conditions, and this book. Electromagnetic scattering by stratified nanostructures with. The symposium provided a forum for discussing electromagnetic wave theory and tackled a wide range of topics, from propagation in nonlinear media to electromagnetic wave propagation and. Experimental investigation of the propagation properties of bloch. Crystals such as calcite, quartz, kdp, and liquid crystals. Birefringence, phase matching,and xray lasers amnon yariv and pochi yeh california institute of technology, pasadena, california 91125 received 8 november 1976 the theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of. Syllabus wave propagation mechanical engineering mit.
The regular counterpart, periodically stratified media, has a long historyy and many important applications, ranging from optical filters to reflectors, solidstate lasers and optical fibers. Effective medium model for a periodic array of metallic carbon nanotubes and eigenwaves propagating. Some electromagnetic wave functions for propagation in. Co i in many fields of engmeenng and physics, there is a need to undentand how electromagnetic waves. In other words, interfaces 1 and 2 in figure 1 collapse into one single interface separating two semiinfinite media of refractive index n1 and n2 characteristic matrix in equation can be used to find the matrix system for two semiinfinite media. The theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of birefringence and group. Optics of anisotropic layered media studentportalen.
Click download or read online button to get waves and fields in inhomogeneous media book now. Examples include the vibration of weighted strings, the acoustics of corrugated tubes, the optics of photonic crystals, and, of course, electron wave functions in the quantum theory of solids. The dominating e ect of wave propagation in lossy media is exponential decrease of the amplitude of the wave. Propagation of electromagnetic waves through a continuously. A diagonalization of the unit cell translation operator is used to obtain exact solutions for the bloch waves, the dispersion relations, and the. The relevance of periodic media to phase matching in nonlinear. There are may propagation mechanisms by which signals can travel between the radar transmitter and receiver. The regular counterpart, periodically stratified media, has a long historyy and many important applications, ranging from optical. Aug 15, 2017 a rapidly modulated stratified medium with a large mass density modulation depth lmmd is proposed to achieve nondiffraction propagation ndp of acoustic waves. The usual 2 x 2 matrix analysis is simplified and generalized. Electromagnetic propagation in periodic media the propagation of em radiation in periodic media. Analytical expressions for emwaves and evolutionary equations for the waves in geometric regular waveguides with layered nonstationary media are presented.
A bloch factor eigenvalue equation is obtained, valid for all periodic stratifications. For parallel polarization the electric and magnetic fields are determined by hx, the xcomponent. General theory pochi yeh, amnon yariv, and chishain hong california institute of technology, pasadena, california 91125 received 8 november 1976 the propagation of electromagnetic radiation in periodically stratified media is. Because of the tight confinement of the optical field to the. For magnetic type fields the homogeneous model is the only one giving rise to constant values of k. Pdf electromagnetic wave reflection and transmission by a fine.
The implications of the band structure of an infinite periodic structure for. The electromagneticwave propagation through a medium consisting of two dielectric halfspaces with a plate in between, has been investigated. The bloch waves are normal modes of propagation so and each mode is composed of plane wave. The propagation of electromagnetic radiation in periodically stratified media is considered. Download pdf 1 mb abstract the theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of birefringence and group velocity in these media. Electromagnetic scattering matrices of stratified anisotropic media by lurye, jerome.
Understanding the effects of varying conditions on radio. In this work, we explore a related problem, electromagnetic wave propagation in layered and quasiperiodic dielectric media. This book discusses the important feature of the waves that enables communications at global distances. A piecewisehomogeneous and periodic along the guides axis medium is considered in detail. Price contribution from the stanford research institute, menlo park, calif. Lasers ebook oida reports opn centennial ebooklets osa. As a form of electromagnetic radiation, like light waves, radio waves are affected by the phenomena of reflection, refraction, diffraction, absorption, polarization, and scattering. Nondiffraction propagation of acoustic waves in a rapidly. Pdf electromagnetic wave propagation in almost periodic. Long recognized as a classic in the field, this book offers comprehensive coverage of radio waves in stratified media.
The relevance of periodic media to phase matching in nonlinear mixing experiments and to laser action in the xray region is discussed. Propagation of electromagnetic waves in stratified bianisotropic chiral structures is described by the 4. Propagation of electromagnetic waves through a continuously varying stratified anisotropic medium gary h. Electromagnetic propagation in anisotropic media optical properties depend on the direction of propagation and the polarization of the light. The strata are required only to be parallel and to have scalar electrical parameters. This article is part of the theme issue modelling of dynamic phenomena and localization in structured media part 1. Using exact dispersion relations for electromagnetic wave propagation in layered, periodic media, consisting of two phases, we derive explicit asymptotic solutions for small wavenumbers.
The theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of birefringence and group velocity in these media. Electromagnetic wave theory, part 2 contains the proceedings of a symposium on electromagnetic wave theory held at delft, the netherlands in september 1965. Electromagnetic waves in stratified media 1st edition. Electromagnetic scattering by stratified nanostructures.
Waves and fields in inhomogeneous media download ebook. Propagation losses and the refraction angle are such that an electromagnetic signal crosses the airtowater boundary and appears to radiate from a patch of. Periodic media many useful materials and devices may have an. Review of elastic and electromagnetic wave propagation in layered media. Electromagnetic waves in stratified media volume 3 of international series of monographs on electromagnetic waves volume 3 of international series of monographs in the science of the solid state pergamon press book volume 3 of wennergren center international symposium series. Propagation of electromagnetic waves in extremely dense media samina masood a and iram saleem b, a department of physical and applied sciences, university of houstonclear lake, houston, tx, 77058, usa b department of physics and texas center for superconductivity, university of houston, houston, tx, 77204, usa corresponding author email address. The bloch waves are normal modes of propagation so and each mode is composed of plane wave components of amplitude ek2. Interface between two semiinfinite media fresnel reflection coefficient this situation can be mimicked by setting d2 0 into equation.
Oct 15, 2012 here, we report the fabrication of a graphenebased bragg grating onedimensional photonic crystal and experimentally demonstrate the excitation of surface electromagnetic waves in the periodic. Recent approaches to the time domain involve imbedding, greens functions methods and wave splitting techniques 14. Find materials for this course in the pages linked along the left. Bloch waves and bandgaps chapter 6 physics 208, electrooptics peter beyersdorf 1. Some new phenomena with applications to integrated optics and. Some electromagnetic wave functions for propagation in stratified media 339 in the case of a homogeneous medium k is independent of 2 for fields of both types and the solutions of equation 1 may be expressed in terms of exponential functions. A diagonalization of the unit cell translation operator is used to obtain exact solutions for the bloch waves, the dispersion relations, and the band structure of the medium. The analytical solution of the dispersion equation is invariant to both the guides crosssection contour form and eigenwave type.
The theory for electromagnetic field propagation in stratified anisotropic media has been presented in a rather general form. Use features like bookmarks, note taking and highlighting while reading electromagnetic waves in stratified media. Electromagnetic propagation in periodic stratified media. The same considerations make electromagnetic energy useful in sensors. The electromagnetic wave propagation through a medium consisting of two dielectric halfspaces with a plate in between, has been investigated. Pdf propagation of electromagnetic waves in a structure formed by periodically. Electromagnetic propagation along stratified media. Pdf the objective of this paper is to provide a unified treatment of elastic eand. Electromagnetic wave propagation in quasiperiodically. International series of monographs in electromagnetic waves, volume 3. Absolute band gaps and electromagnetic transmission in. The problem of electromagnetic wave propagation in almost periodic media is investigated and a solution is obtained directly from maxwells equations.
Yeh, optical waves in layered media wiley, new york, 1988. Pdf coherence theory of electromagnetic wave propagation. Electromagnetic waves in stratified media this book 1 was written at an important point in the development of applications of electromagnetic radio waves to communications, navigation, and remote sensing. Doppler shift is inversely proportional to propagation velocity, so is much smaller for electromagnetic signals. Electromagnetic fields in planarly layered anisotropic media. Our research is to investigate systematically the inverse scattering of acoustic and electromagnetic waves by obstacles or inhomogeneity in a stratified host medium. Electromagnetic wave propagation by professor david jenn ver1. Lasers ebook oida reports opn centennial ebooklets.
R download it once and read it on your kindle device, pc, phones or tablets. Coherence theory of electromagnetic wave propagation through stratified nlayer media article pdf available in journal of the optical society of america a 226. General theory pochi yeh, amnon yariv, and chishain hong california institute of technology, pasadena, california 91125 received 8 november 1976 the propagation of electromagnetic radiation in periodically stratified media is considered. Radio propagation is the behavior of radio waves as they travel, or are propagated, from one point to another, or into various parts of the atmosphere. A pedagogical presentation of the propagation of electromagnetic waves in stratified media is given. Electromagnetic waves in stratified media volume 3 of international series of monographs on electromagnetic waves, issn 05389992 pergamon press book. Electromagnetic inverse scattering for stratified media.
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