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A Point Source of Electromagnetic Waves in an Inhomogeneous Medium: a High Frequency Ansatz and the Dual Nonstationary Singular Solution

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The Maxwell equations for smoothly inhomogeneous media are addressed. The first-order term of the Hadamard-type expansion for the wavefield of a pulsed point source is presented. The Fourier transform in t of this expression allows for a high-frequency asymptotic formula for the wavefield of a point source of electromagnetic oscillations.

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References

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    V. M. Babich

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  1. V. M. Babich
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Correspondence to V. M. Babich.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 471, 2018, pp. 7–14.

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Babich, V.M. A Point Source of Electromagnetic Waves in an Inhomogeneous Medium: a High Frequency Ansatz and the Dual Nonstationary Singular Solution. J Math Sci 243, 634–639 (2019). https://doi.org/10.1007/s10958-019-04565-7

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  • DOI: https://doi.org/10.1007/s10958-019-04565-7

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