Abstract
The purpose of these pages is to study how the vertical electrical component of an electromagnetic wave propagating over a homogeneous earth with plane boundary will be affected by small local variations in its electrical constants. This problem has been frequently studied in the literature (see Bremmer [1] and the references there). We shall here follow a somewhat different path, by solving the variational equation for the first variation of the field.
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References
[1] H. Bremmer, Propagation of electromagnetic waves, Handbuch der Physik 16(1958), pp. 423–639.
[2] A. Sommerfeld, Über die Ausbreitung der Wellen in der drahtlosen Telegraphie, Ann. d. Phys. 28 (1909), 665–736.
[3] A. Sommerfeld, Über die Ausbreitung der Wellen in der drahtlosen Telegraphie, Ann. d. Phys. 81 (1926), 1135–1153.
[4] H. Weyl, Ausbreitung elektromagnetischer Wellen über einem ebenen Leiter, Ann. d. Phys. 60 (1919), 481–500.
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Hörmander, L. (2018). Electromagnetic wave propagation over ground with small inhomogeneities in the electrical constants. In: Unpublished Manuscripts . Springer, Cham. https://doi.org/10.1007/978-3-319-69850-2_10
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DOI: https://doi.org/10.1007/978-3-319-69850-2_10
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