## Radio raytracing in complex space: a method for calculating absorption |

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### Contents

Theory | 11 |

Complex Raypaths in an Absorbing Media | 17 |

ConclusionDiscussion | 32 |

1 other sections not shown

### Common terms and phrases

29 sinh 9 sin 9 absorbing medium analytic attenuation beam spreading phenomena complex angle complex plane complex ray path complex space formulation consider constant phase describing the direction describing the field direction of travel electron density profile examine Fermat's principle field strength Figure 9 focusing factor Fresnel zone full wave analysis Haselgrove equations imaginary phase paths index of refraction inhomogeneous plane wave integrand J. R. Hill launch angle separation linear electron density nonabsorbed observation point parabolic profile Paul Emmett Argo phase front phase integral planes of constant plex space points in real purely real ray field ray trace Raypath in complex Raytracing in Complex real and imaginary real space intercept receiver region remain in real S/q dz sech showing beam spreading sinh 29 skip zone Snell's law stationary phase approximation stationary phase point tion transmitter v/uu wave field wave propagation