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. Wave propagation in randomly stratified media and anderson. 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. Light in periodically stratified media john lekner department of physics, victoria university of wellington, wellington, new zealand received march 11, 1994. 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. 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. We consider plane electromagnetic waves incident from a.
The implications of the band structure of an infinite periodic structure for. 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. Furthermore, yariv and coworkers 6,7 developed a general theory for electromagnetic propagation in periodic layered media and discussed some general properties of propagation in periodic media. The stratification is characterized by a dielectric constant which, along one coordinate, is modulated sinusoidally about an average value. The theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of birefringence and group velocity in these media. E and d are parallel and transverse b and h are perpend to them, also transverse. Electromagnetic wave theory, part 2 contains the proceedings of a symposium on electromagnetic wave theory held at delft, the netherlands in september 1965. As a form of electromagnetic radiation, like light waves, radio waves are affected by the phenomena of reflection, refraction, diffraction, absorption, polarization, and scattering. Light in periodically stratified media researchgate. Bloch waves and bandgaps san jose state university. This is the first experimental demonstration of a graphenebased 1d photonic crystal, as well as the excitation of surface electromagnetic waves in the periodic structure. This book discusses the important feature of the waves that enables communications at global distances.
His method of calculation and his results for the case of long waves will he used below. Double refraction birefringence, optical rotation, polarization effects, electrooptical effects. Electromagnetic propagation along stratified media. The strata are required only to be parallel and to have scalar electrical parameters. It is shown, how the localization is generated both in stationary and non stationary cases. The usual 2 x 2 matrix analysis is simplified and generalized. Another important consideration is the effect of the air to water interface. Long recognized as a classic in the field, this book offers comprehensive coverage of radio waves in stratified media. 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. There are may propagation mechanisms by which signals can travel between the radar transmitter and receiver. Interestingly, this phenomenon can be considered as an alternative to graphene plasmonics at optical frequencies. Propagation of electromagnetic waves through a continuously varying stratified anisotropic medium gary h. Reviews of topical problems related content dispersion of. Crystals such as calcite, quartz, kdp, and liquid crystals.
The equations of propagation of electromagnetic waves in a stratified medium i. A bloch factor eigenvalue equation is obtained, valid for all periodic stratifications. A pedagogical presentation of the propagation of electromagnetic waves in stratified media is given. 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. The first comprehensive electromagnetic characterization of periodic structures was done by brillouin. Transient electromagnetic wave propagation in transverse. The propagation of electromagnetic radiation in periodically stratified media is considered. Therefore, as the depth increases it reaches a value for which the propagation loss becomes larger than the transmission loss. Price contribution from the stanford research institute, menlo park, calif. Later, this method was employed to analyze periodic anisotropic materials 4,5. The problem of electromagnetic wave propagation in almost periodic media is investigated and a solution is obtained directly from maxwells equations. Electromagnetic propagation in periodic stratified media. Propagation losses and the refraction angle are such that an electromagnetic signal crosses the airtowater boundary and appears to radiate from a patch of.
Pdf the theory of secondorder coherence in connection with wave propagation through a stratified nlayer snl medium is developed. The electromagnetic wave propagation through a stratified inhomogeneous anisotropic medium by f. The theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of. Therefore, the optimum frequency range exists only for small propagation depths less than 5 m. Some new phenomena with applications to integrated optics and. The case of tm wave propagation in a sinusoidally stratified dielectric medium was then treated by yeh et al. Hong, electromagnetic propagation in periodic stratified media. Media of finite, semiinfinite, and infinite extent are treated. 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. 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.
The relevance of periodic media to phase matching in nonlinear mixing experiments and to laser action in the xray region is discussed. Electromagnetic propagation in periodic stratified. Excitation of surface electromagnetic waves in a graphene. Stochastic model of electromagnetic wave propagation in. Periodic media many useful materials and devices may have an. Doppler shift is inversely proportional to propagation velocity, so is much smaller for electromagnetic signals.
We consider plane electromagnetic waves incident from a medium of index nj. Electromagnetic propagation in periodic media the propagation of em radiation in periodic media. R download it once and read it on your kindle device, pc, phones or tablets. Recent approaches to the time domain involve imbedding, greens functions methods and wave splitting techniques 14. The anderson model of localization in many periodic physical systems it is possible transport of some disturbances, e.
The special case of wave propagation in an inhomogeneous planar waveguide with perfectly conducting walls is also discussed. Propagation of electromagnetic waves through a continuously. 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 stratified bianisotropic chiral structures is described by the 4. The relevance of periodic media to phase matching in nonlinear mixing experiments and to laser action in. Bloch waves and bandgaps chapter 6 physics 208, electrooptics peter beyersdorf 1. Brillouin l 19461953 wave propagation in periodic structures.
Coherence theory of electromagnetic wave propagation through stratified nlayer media article pdf available in journal of the optical society of america a 226. The dispersion properties and the fields of electromagnetic waves are investigated for propagation in a stratified infinite medium. The effect of nonlocal dispersion on the propagation and reflection of electromagnetic waves in stratified and nonstationary media can be conveniently considered with the aid of model dependences of the medium permittivity e on the coordinates, er. Analysis and design of electromagnetic band gap structures. Such applications require accurate propagation predictions for a variety of path conditions, and this book. Osa electromagnetic propagation in periodic stratified media. The propagation of electromagnetic waves in a stratified. Electromagnetic waves in stratified media 1st edition. Electromagnetic wave propagation in quasiperiodically. Critical phenomena in periodic stratified media due to time. Request pdf stochastic model of electromagnetic wave propagation in periodic and stratified absorbing media inclusive a semitransparent object we consider the stochastic model of. Pdf coherence theory of electromagnetic wave propagation.
Revised edition including supplemented material international series of monographs in electromagnetic waves kindle edition by wait, james r. The electromagnetic wave propagation through a medium consisting of two dielectric halfspaces with a plate in between, has been investigated. In this paper, wave propagation of electromagnetic pulses in media that are periodic in one spatial direction is analyzed by a time domain technique. International series of monographs in electromagnetic waves, volume 3. The bloch waves are normal modes of propagation so and each mode is composed of plane wave components of amplitude ek2. The theory of electromagnetic bloch waves in periodic stratified media is applied to the problems of birefringence and group. An iterative technique for calculating the propagation coefficient for electromagnetic waves traveling along a stratified medium. The frequency domain is decisively more familiar, especially in dispersive media 5. In this work, we explore a related problem, electromagnetic wave propagation in layered and quasiperiodic dielectric media.