New PDF release: Electromagnetic Wave Theory

By Jin Au Kong

ISBN-10: 0471522147

ISBN-13: 9780471522140

It is a first 12 months graduate textual content on electromagnetic box concept emphasizing mathematical ways, challenge fixing and actual interpretation. Examples care for tips, propagation, radiation and scattering of electromagnetic waves, steel and dielectric wave publications, resonators, antennas and radiating buildings, Cerenkov radiation, relocating media, plasmas, crystals, built-in optics, lasers and fibers, distant sensing, geophysical probing, dipole antennas and stratified media.

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Example text

Finite albeit sm all deformations should be taken into account not only in rubbertype materials but also in met al-type materials besides the other nonlinearities. There is an important point to be stressed. 18) must always be combined with the physical nonlinearities. The reason is the following. The physical nonlinearity for those materials is usually of the soft type and much stronger than the geometrical nonlinearity. Introducing only the geometrical nonlinearity, the result will be physically inadmissible.

In fluids, the convective terms in the Navier-Stokes' equations (v x . ax, ... ) are weIl understood. This nonlinearity arises from the dual role of the velo city in determining the acceleration of a fluid particle dealing D! Dt as the substantive derivative (Tritton, 1988). In the compound motion of solids, local coordinate systems are used to describe motion relative to some inertial reference frame. 24) where a is the acceleration in the local frame, Ao that of the origin of the local frame, 0 is the angular velocity relative to the reference frame, rand v are the local position vector and velocity, respectively.

The waves are then governed by the so-called evolution equations every one of which describes the distortion of a single wave along a properly chosen characteristics (ray). Most of the well-known equations describing solitary waves belong to this dass of equations. The main idea of constructing such "simplified" (with regard to the initial multi-wave system) equations is the following. A set of small parameters related either to the initial conditions or to the physical and/or geometrical parameters which form the coefficients of the initial equations, is introduced and the perturbation method together with the method of stretched coordinates is then applied.

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Electromagnetic Wave Theory by Jin Au Kong

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