The extension of Sommerfeld's formula for the propagation of radio waves over a flat earth, to different conductivities of the soil
✍ Scribed by H. Bremmer
- Publisher
- Elsevier Science
- Year
- 1954
- Weight
- 920 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0031-8914
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✦ Synopsis
The influence of non-homogeneous soil conditions on the propagation of radio waves over a flat earth can be investigated with the aid of an integral equation based on Green's theorem. This equation applies to all types of distributions (also continuous) of the conductivity and of the dielectric constant of the earth; it is essentially identical with the integral equation considered by Hufford for the propagation over irregular terrain. The special solution for two adjacent regions of homogeneous electrical constants can be treated numerically with the aid of two different expansions for the field near the separating boundary and for the field far beyond this boundary; the rigorous solution of the integral equation proves to be identical with the corresponding expression derived in a very different way by C 1 e m m o w. The solution for three adjacent homogeneous regions can be obtained by solving the general integral equation by a similar method.