We demonstrate that ultrashort optical pulses propagating in a nonlinear. Scattering problems with fdtd, pulse propagation daniel sj oberg department of electrical and information technology september 20, 2012. Every book on classical electromagnetism introduces the metallic waveguides as an example of application of the maxwell equations with boundary conditions. The pulse effex, book 1 electromagnetic and optical pulse propagation 1. We analyse the propagation of an optical pulse launched at t0, x0, in an isotropic, homogeneous linear medium. Plane electromagnetic waves and wave propagation 7. A pulse is a function of time, being zero for t t 0 and being quadratically integrable finite energy. The rigorous description of the signal velocity of a pulse in a dispersive material is presented in connection with the question of superluminal pulse propagation. Oughstun and others published electromagnetic and optical pulse propagation 1. Volume 2 covers temporal pulse dynamics in dispersive attenuative media, with asymptotic analysis at the forefront. Dispersive pulse propagation in a doubleresonance lorentz medium. Chen1, 1microelectronics research center, the university of texas at austin, 10100 burnet road bldg 160 mer, austin, tx78758, usa 2omega optics, inc.
We demonstrate that ultrashort optical pulses propagating in a nonlinear dispersive medium are naturally described through incorporation of analytic signal for the electric field. Pdf propagation of an ultimately short electromagnetic pulse in a. Ultrashort optical pulse propagation in a dispersive medium. Oughstun and others published electromagnetic and optical pulse propagation 2 find, read and cite all the research you need on researchgate.
In the absence of free charge and current densities the maxwell equations are. We formulate the equations describing pulse propagation in a onedimensional optical structure described by the tight binding approximation, commonly used in solidstate physics to describe electrons levels in a periodic potential. There is considered possibility of formation of shock electromagnetic waves shew on optical cycle of laser pulse propagating in wide bandgap transparent solid dielectric. Electromagnetic and optical pulse propagation presents a detailed, systematic treatment of the timedomain electromagnetics with application to the propagation of transient electromagnetic fields including ultrawideband signals and ultrashort pulses in homogeneous, isotropic media which exhibit. This lesson describes the properties of electromagnetic and electrooptical radiation and how their propagation is affected by the atmosphere and weather. Watson laboratory of applied physics, california institute of technology, pasadena, california 91125 received 4 march 2003.
An electromagnetic pulse emp, also sometimes called a transient electromagnetic disturbance, is a short burst of electromagnetic energy. Part one covers fundamentals of electromagnetic wave propagation, radiation, and. Numerical determination of the signal velocity in dispersive pulse propagation. The relationship between both the mathematical and physical interpretation of classical electromagnetic field theory with the special theory of relativity is emphasized throughout the volume. In order to obtain an improved model for the propagation of light in an optical fiber, electromagnetic wave theory must be considered. Oughstun in two volumes, this book presents a detailed, systematic treatment of electromagnetics with application to the propagation of transient electromagnetic fields including ultrawideband signals and ultrashort pulses. Electromagnetic wave propagation java tutorial olympus. This book describes the electromagnetic theory for the propagating modes of dielectric guides with the objective of understanding the applications of these guides to a telecommunication system.
Ultrashort optical pulse propagation in terms of analytic signal. The previous investigations were concerned with the analysis of the modulational instability mi of electromagnetic waves in. Electromagnetic mode theory for optical propagation. Electromagnetic wave propagation by professor david jenn ver1. Propagation of electromagnetic pulses in a linear dispersive medium with. There are many nonlinear pulse propagation problems worthwhile of being considered. The center of the pulse on the left is far stronger at the output in the presence of the nonlinear responseduringpropagation. Gupta department of electrical, electronic and computer engineering at napier university, edinburgh, uk abstract the authors have applied the 3d fdtd technique to simulate the. Electromagnetic wave propagation through a slab of a dispersive. Optical fiber theory series in optics and photonics. Electromagnetic and optical pulse propagation springerlink.
Extended efforts have been made to imhowever, the extent and potentially prove theoretical models and to develop serious nature of emp effects were not associated computer codes for predicrealized for several years. Pdf simulation of pulse propagation in optical fibers. Electromagnetic pulse prepping for tomorrow book 1 emp. Electromagnetic and optical pulse propagation 2 request pdf.
This book gives a systematic, rigorous treatment of timedomain electromagnetics with application to the propagation of transient electromagnetic fields in homogeneous, isotropic media. Spectral representations in temporally dispersive media find, read and cite. Electromagnetic and optical pulse propagation volume 2. It develops maxwelllorentz theory and its relationship to macroscopic electromagnetics in complex media. The electromagnetic disturbance that results is propagated with the electronic e and magnetic b vectors vibrating perpendicularly to each other and also to the direction of propagation z. This book gives a systematic, rigorous treatment of timedomain electromagnetics with application to the propagation of transient electromagnetic fields in homogeneous, isotropic media, featuring asymptotic analysis of pulse propagation in dielectric, conducting, and semiconducting materials. Spectral representations in temporally dispersive media kurt e. With meaningful exercises throughout, it is suitable as a graduate textbook in electromagnetic wave theory and will be of use to researchers as a resource on electromagnetic radiation and wave propagation theory with applications to radar, imaging, communications, and safety issues. Visible light is a commonly studied form of electromagnetic radiation, and exhibits oscillating electric and magnetic fields whose amplitudes and directions are represented by. Energyvelocity description of pulse propagation in absorbing. The basis for the study of electromagnetic wave propagation is provided by maxwells equations ref.
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 and optical pulse propagation 1 springerlink. Electromagnetic and optical pulse propagation 1 spectral. Mathematically this leads for maxwells equations to a boundaryinitial value problem of the type discussed by. An energy flow approach to the propagation of electromagnetic. Propagation of electromagnetic waves in dispersive ho mogeneous media. Physical optics lecture notes pdf 44p this note covers the following topics. Atmospheric variables that affect em propagation include temperature, moisture, pressure, and composition. Article pdf available in optics and spectroscopy 942. Thisshowshowselfphasemodulation can cause selffocusing behavior. Electromagnetic and optical pulse propagation volume 1. Simulation of electromagnetic pulse propagation in threedimensional finitedifference timedomain fdtd method using parallel processing techniques w. As a form of electromagnetic radiation, like light waves, radio waves are affected by the phenomena of reflection, refraction, diffraction, absorption, polarization, and scattering. Demonstration of subluminal propagation of singlecycle.
These variables control processes including refraction, absorption, and scattering. Main regularities of shew formation are studied on the basis of 1d model of planewave propagation in isotropic dielectric with nonlinear optical response and dispersion. Spectral representations in temporally dispersive media springer series in optical sciences v. Propagation modes in fiber light, while propagating in the fiber, can be seen sa an electromagnetic phenomenon, and the whole propagating mechanism, which can be described by the electromagnetic optical fields associated to it, is governed by maxwell equations 1. The evolution of an electromagnetic pulse propagating through a linear, dispersive, and absorbing. To this end a secondorder nonlinear wave equation is first simplified using a unidirectional approximation. Spie 3927, optical pulse and beam propagation ii, 14 april 2000.
Ultrashort optical pulse propagation in terms of analytic. Ultrashort optical pulse propagation in a dispersive medium osa. In this chapter, we examine some aspects of pulse propagation in dispersive media and. High dynamic range electric field sensor for electromagnetic pulse detection cheyun lin,1,3 alan x. Any reader interested in designing or actively working with optical devices must have a firm grasp of. Outline 1 material modeling in fdtd 2 scattering problems with fdtd. Electromagnetic and optical pulse propagation 2 springerlink. Then the analytic signal is introduced, and all nonresonant nonlinear terms are eliminated. Oughstun, electromagnetic and optical pulse propagation, 2nd ed. Electromagnetic and optical pulse propagation kurt e. Electromagnetic waves can be generated by a variety of methods, such as a discharging spark or by an oscillating molecular dipole. Pulse propagation in dispersive media rutgers university. Propagation of an ultimately short electromagnetic pulse. Oughstun electromagnetic and optical pulse propagation.
Fundamentals of optical waveguides is an essential resource for any researcher, professional or student involved in optics and communications engineering. Understanding the effects of varying conditions on. The analysis is carried out in a way that highlights the correspondence with the analysis of pulse propagation in a conventional waveguide. One of the most methodical treatments of electromagnetic wave propagation, radiation, and scatteringincluding new applications and ideas presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Formation of electromagnetic shocks on optical cycle near. A typical value of k0 for a standard single mode optical fiber at.
The second edition contains new material on the effects of spatial dispersion on precursor formation, and pulse transmission into a dispersive half space and into multilayered media. The optical wavefronts of the pulse remain orthogonal to the propagation direction, while there is a transverse time delay in the local energy content of the pulse. Electromagnetic pulse prepping for tomorrow book 1. Optical pulse propagation in metal nanoparticle chain waveguides stefan a. Modeling of nonlinear ultrashort optical pulse propagation. Outline 1 introduction 2 propagation as a linear lter 3 causality and various velocities 4 transients and steady state 5 group velocity as peak velocity. Electromagnetic and optical pulse propagation presents a systematic treatment of the radiation and propagation of transient electromagnetic and optical wave fields such as those used in ultrawideband radar and communications systems as well as in ultrashort pulsed optics through causal, locally linear media which exhibit both temporal dispersion and absorption. Spectral representations in temporally dispersive media. Optical pulse propagation in metal nanoparticle chain. Such a pulses origin may be a natural occurrence or manmade and can occur as a radiated, electric, or magnetic field or a conducted electric current, depending on the source emp interference is generally disruptive or damaging to electronic.
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