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15 pages matching **steepest descents** in this book

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### Contents

PRELIMINARIES | 3 |

PLANE WAVE REPRESENTATION | 11 |

HI SUPPLEMENTARY THEORY | 39 |

Copyright | |

6 other sections not shown

### Other editions - View all

The Plane Wave Spectrum Representation of Electromagnetic Fields ... P. C. Clemmow Limited preview - 2013 |

### Common terms and phrases

angle angular frequency angular spectrum approximation asymptotic expansion Babinet's principle Bessel function boundary conditions branch-points Cerenkov radiation considered corresponding cos2 cosh current distribution dielectric tensor diffraction dipole direction of phase evaluated exponential expressed in terms 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 P(cos path of integration perfectly conducting permittivity phase propagation plane wave spectrum point charge point of observation polarized field pole problem pure imaginary radiation field reflection coefficient refractive index replaced respectively result scattered field screen simple sin2 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