## The plane wave spectrum representation of electromagnetic fieldsThis is a classic text reissued in the joint IEEE/OUP series, with a new Foreword and introduction. It explains and illustrates a powerful technique for use in electromagnetic wave theory. In this technique electromagnetic waves are represented by the superposition of plane waves travelling in diverse directions. There is no other self-contained account of this technique available. |

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### Contents

PRELIMINARIES | 3 |

PLANE WAVE REPRESENTATION | 11 |

SUPPLEMENTARY THEORY | 39 |

Copyright | |

6 other sections not shown

### Common terms and phrases

angle angular frequency angular spectrum approximation asymptotic expansion Babinet's principle boundary conditions branch-points Cerenkov radiation complex a-plane considered corresponding cos/S cos2 cosh current distribution dielectric tensor diffraction dipole direction of phase electromagnetic field evaluated factor finite formula Fourier Fresnel integral given gives half-plane half-space Hankel function homogeneous plane wave incident field integrand line-source magnetostatic field Maxwell's equations obtained path of integration perfectly conducting permittivity phase propagation plane wave spectrum point charge point of observation polarized field pole power radiated problem pure imaginary radiation field reflection coefficient refractive index respectively result scattered field screen simple sin2 singularities sinh solution specified spectrum function steepest descents superposition surface current density surface wave theory time-averaged power flux time-harmonic tion total field transmitted two-dimensional uniaxial medium unity upper/lower sign vacuum field wave spectrum representation wavelength written z-axis zero