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This article is cited in 1 scientific paper (total in 1 paper) Time-harmonic “complex source” wavefields and their sources in real space A. M. Tagirdzhanova, A. S. Blagovestchenskiia, A. P. Kiselevba a St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia b St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia Abstract: The paper concerns the complexified Green function of the 3D Helmholtz equation in the free space, which is interesting as an exact solution demonstrating Gaussian-beam behavior. This function involves a square root and satisfies an inhomogeneous Helmholtz equation, the right-hand side of which depends on the cut and on the branch of the root. We deal with the explicit description of this generalized function. Key words and phrases: complex source, exact solutions, localized waves, Gaussian beams, Helmholtz equation.  Full text:
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English version: Journal of Mathematical Sciences (New York), 2015, 206:3, 
UDC: 517.95+530.1+534.1+535.24+537.8+535.24 Received: 13.01.2014 Citation: A. M. Tagirdzhanov, A. S. Blagovestchenskii, A. P. Kiselev, “Time-harmonic “complex source” wavefields and their sources in real space”, Mathematical problems in the theory of wave propagation. Part 43, Zap. Nauchn. Sem. POMI, 422, POMI, St. Petersburg, 2014, 
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