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Modern Electromagnetic Scattering Theory with Applications von Osipov, Andrey A. (eBook)

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Modern Electromagnetic Scattering Theory with Applications

This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics


    Format: ePUB
    Kopierschutz: AdobeDRM
    Seitenzahl: 824
    Sprache: Englisch
    ISBN: 9781119293293
    Verlag: Wiley
    Größe: 22881 kBytes
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Modern Electromagnetic Scattering Theory with Applications

List of Abbreviations

Vectors are denoted by bold letters ( a ). The scalar product of two vectors is denoted by dot ( a · b ), and the vector product is denoted by cross ( a × b ). Unit vectors are denoted as , , etc. The double bar over a character denotes a 2 by 2 matrix or a second-order tensor (). Transposition of a vector or a matrix is denoted by the superscript T, e.g. . Time-harmonic dependence is in the form exp ( j t ).

Values related to incident wave are denoted using index "inc" and those related to scattered waves are marked by index "sc".

Asymptotic behaviour at large values of arguments ( p real valued):

o ( kp ) means that lim k o ( kp ) k - p = 0;

O ( kp ) means that there exists a finite constant C such that lim k O ( kp ) k - p C .

X (dB) is equal to 20 log 10 X if X is amplitude-related and to 10 log 10 X if X is power-related.
, Amn

scattering matrix and its components


radius of a sphere or cylinder

Ai( x )

Airy function


magnetic induction


boundary element method

the speed of light in vacuum (free space)


capacitance, integration path

d l

infinitesimal arc length of a curve in 2D or 3D space

d V = d x d y d z

infinitesimal volume element


infinitesimal element of a surface in 3D space

D , D

scatterer size (diameter) in 3D space and in the cross section perpendicular to the axis of a cylindrical scatterer


electric displacement vector

, D ee, D eh, D he, D hh

tensor diffraction coefficient and its elements


double-negative, a medium with < 0 and mi < 0


electric field


normal component of the electric field

E t

tangential electric field component



far-field coefficient, scattering amplitude


finite-difference time-domain method


finite element method

G 0( r , r ')

free-space Green's function

two-dimensional Green's function


geometrical optics


geometrical theory of diffraction


magnetic field


normal component of the magnetic field

H (1, 2) n ( z )

Bessel functions of the third kind or Hankel functions

H t

tangential magnetic field component

incidence direction


imaginary unit

Jn ( z )

Bessel function of the first kind

k , k

wave vector in medium and its amplitude (wavenumber)

free-space wavenumber

K e, K m

equivalent electric and magnetic surface currents





m = ( ka /2)1/3

asymptotic parameter for propagation on curved surfaces

magnetic polarizability tensor

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