Abstract
The possibility of visually controlling the propagation of an electromagnetic pulse in an inhomogeneous medium based on an analytical continuation of the observed field is presented.
Similar content being viewed by others
References
Baker, G.A., Jr., Graves-Morris, P., and Carruthers, P.A., Padé Approximants, London: Addison–Wesley, 1981.
Ermokhin, K.M., Analytical continuation of geophysical fields into anomaly source zone by chained fraction approximation, Geofizika, 2007, no. 1, pp. 51–55.
Ermokhin, K.M. Technology of constructing the sections by analytical continuation of geophysical fields, Geoinformatika, 2010, no. 2, pp. 51–60.
Jones, W.B. and Throne, W.J., Continued Fractions: Analytic Theory and Applications, Reading, MA: Addison–Wesley, 1984.
Kamenetskii, F.M., Novikov, P.V., and Timofeev, V.M., The use of differential transformations for qualitative interpretation of TEM data, Izv., Phys. Solid Earth, 1993, no. 7, pp. 91–96.
Litvinov, G.L., Error autocorrection in rational approximation and interval estimates. A survey of results, Cent. Eur. J. Math., № 1, 2003, s. 36–60.
Strakhov, V.N., Analytical continuation of potential fields, in Gravirazvedka: spravochnik geofizika (Gravity Prospecting: Geophysicist Handbook), Mudretsova, E.A. and Veselov, K.E., Eds., Moscow: Nedra, 1990.
Suetin, P.K., Klassicheskie ortogonal’nye mnogochleny (Classical Orthogonal Polynomials), Moscow: Nauka, 1979.
Berezkin, V.M., Kirichek, M.A., and Kunarev, A.A., Primenenie geofizicheskikh metodov razvedki dlya pryamykh poiskov mestorozhdenii nefti i gaza (Application of Geophysical Methods for Direct Prospecting for Oil and Gas), Moscow: Nedra, 1978.
Viskovatov, B., De la methode generale pour reduire toutes sortes des quantitees en fraction continues, Memoires de l’ Academie Imperiale des Sciences de St. Petersburg, 1805, no. 1, pp. 226–247.
Zhdanov, M.S., Teoriya obratnykh zadach i regulyarizatsii v geofizike (Theory of Inverse Problems and Regularization in Geophysics), Moscow: Nauchnyi mir, 2007.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © K.M. Ermokhin, A.B. Velikin, 2018, published in Fizika Zemli, 2018, No. 4.
Rights and permissions
About this article
Cite this article
Ermokhin, K.M., Velikin, A.B. Propagation of Electromagnetic Field Pulse in an Inhomogeneous Medium Based on the Results of an Analytical Continuation of the Field. Izv., Phys. Solid Earth 54, 587–591 (2018). https://doi.org/10.1134/S106935131804002X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106935131804002X