## Time-harmonic electromagnetic fields |

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Page 232

Scattering by

solution can be obtained. We shall at present consider only two-dimensional

cases.

Scattering by

**Cylinders**. A source radiating in the presence of a conducting**cylinder**is one of the simplest "wave-scatter" problems for which an exactsolution can be obtained. We shall at present consider only two-dimensional

cases.

Page 233

A plane wave incident upon a conducting

with the conducting

fields, that is, E. = B.* + E,' To represent outward-traveling waves, the scattered

field ...

A plane wave incident upon a conducting

**cylinder**. Incident wave The total fieldwith the conducting

**cylinder**present is the sum of the incident and scatteredfields, that is, E. = B.* + E,' To represent outward-traveling waves, the scattered

field ...

Page 261

Let the

plane wave [Eq. (5-105)1, show that the scattered field is given by Eq. (5-106)

with -Jn((ka) On uJ'^kda) / tkioJ n(kid) — j'n(ka)/kajn(ka) tiJ'Jkda)/tkdaJn(kda) ...

Let the

**cylinder**of Fig. 5-17 be dielectric with parameters u, ltd. For a TM incidentplane wave [Eq. (5-105)1, show that the scattered field is given by Eq. (5-106)

with -Jn((ka) On uJ'^kda) / tkioJ n(kid) — j'n(ka)/kajn(ka) tiJ'Jkda)/tkdaJn(kda) ...

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哈灵顿的《Time-Harmonic Electromagnetic Fields》,电磁学的经典著作

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ELECTROMAGNETIC FIELDS

### Contents

Introduction to Waves | 37 |

Plane Wave Functions | 143 |

CjfcSj The Rectangular Cavity | 155 |

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### Common terms and phrases

according to Eqs admittance antenna aperture approximation assumed attenuation Bessel functions boundary conditions calculated characteristic impedance complex concepts conducting consider coordinate cross section current element current filament current sheet cutoff frequency cylinder defined denote density dielectric dipole dissipation dominant mode dual electric conductor electric current electromagnetic field energy equivalent circuit field is given free-space given by Eq Green's function ground plane Helmholtz equation Hence incident field input integral linear loss-free lossy magnetic current mode patterns obstacle obtain parameters perturbation phase constant plane wave polarized Prob problem propagation constant quantities radiation field reactance rectangular waveguide region represent resonant frequency Show shown in Fig slot solution sphere spherical stationary formula surface tangential components theorem tion TM modes transmission line traveling wave trial field V X E variational vector potential voltage wave functions wave impedances z-directed zero