Titlebook: Integral Transforms in Geophysics; Michael S. Zhdanov Book 1988 Springer-Verlag Berlin Heidelberg 1988 Fundament.Riemann surface.distribut

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Migration of the Electromagnetic Fieldetation and called seismoholography or seismic migration (Petrashen and Nakhamkin 1973; Timoshin 1978; Berkhout 1984; Claerbout 1985). It extends, in turn, the ideas of optical or radio holography (Caulfiled 1979: Handbook of Optical Holography) to the case of seismic (wave) fields.

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Representation of Plane Geopotential Fields in the Form of the Cauchy-Type Integralwhy, within the scope of this book, we will dwell only on the problems of mathematical theory of analysis, integral transforms, and interpretation of geopotential fields. Moreover, we shall confine ourselves just to the issues resolved most efficiently in terms of the Cauchy-type integral. How wide the range of these issues is will be shown below.

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Application of Cauchy Integral Analogs to the Theory of a Three-Dimensional Geopotential Fieldr three-dimensional geopotential fields. Solution to this problem, as well as some important applications of Cauchy integral analogs to the geopotential field theory, are taken up in the present chapter.

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Analytical Continuation of the Electromagnetic Field. 7.1. We will apply these principles to the electromagnetic field. For the sake of simplicity, we will confine ourselves to a monochromatic field, although the results presented below also hold generally good for transient fields.

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-paration and migration of electromagnetic and seismicfields. Ofinterest primarily to scientists and post-gradu-ate students engaged ingravimetrics, but also useful togeophysicists and researchers in mathematical physics.978-3-642-72630-9978-3-642-72628-6

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Book 1988ent a unified treatmentof this theory, ranging from the techniques ofthe transfor-mation of 2-D and 3-D potential fields to the theory of se-paration and migration of electromagnetic and seismicfields. Ofinterest primarily to scientists and post-gradu-ate students engaged ingravimetrics, but also us