## The horizontal electric dipole in a conducting half-space, Part 1University of California, Marine Physical Laboratory of the Scripps Institution of Oceanography, 1953 - Science |

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### Contents

Formulation of the TwoMedia Problem for a Dipolar Source | 8 |

Field Components in Cylindrical Coordinates | 59 |

Solution of Dipolar Problem in the Static Limit | 71 |

5 other sections not shown

### Common terms and phrases

accordance with Eq approximation asymptotic evaluation asymptotic expansion asymptotic series Attn boundary conditions branch cut branch points California Cartesian components computed conducting medium conformal transformation contour cosw deduced defined by Eq denotes derivatives differentiation double integral double power series electric field components Eqso expansion coefficients expansion terms expression formula fundamental integrals given by Eq half-period strip Hankel function Helmholtz equation Hertzian vector horizontal range ik2p integral representations integrand interface leading term magnetic field components method of integration non-conducting medium order of magnitude order pole original path path of integration path of steepest Physik plane points of observation power series expansion Poynting's vector problem radius of convergence range of parameters readily real axis respectively Riemann surface saddle point method Section solution Sommerfeld static limit steepest descents substituting surface wave tion TT-vectors valid values variable of integration Watson's lemma wavelength X-plane