Time-Harmonic Wavefields of "Complex Sources” and Their Sources in the Real Space

Verfasser / Beitragende:
[A. Tagirdzhanov, A. Blagovestchenskii, A. Kiselev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/3(2015-04-01), 315-327
Format:
Artikel (online)
ID: 605524289
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024 7 0 |a 10.1007/s10958-015-2313-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2313-9 
245 0 0 |a Time-Harmonic Wavefields of "Complex Sources” and Their Sources in the Real Space  |h [Elektronische Daten]  |c [A. Tagirdzhanov, A. Blagovestchenskii, A. Kiselev] 
520 3 |a The paper deals with the complexified Green function of the 3D Helmholtz equation in a free space, which is of interest as an exact solution demonstrating the Gaussian beam behavior. This function involves a square root and satisfies a nonhomogeneous Helmholtz equation, the right-hand side of which depends on a cut and on the branch of a root. An explicit representation of this generalized function is studied. Bibliography: 21 titles. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Tagirdzhanov  |D A.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
700 1 |a Blagovestchenskii  |D A.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
700 1 |a Kiselev  |D A.  |u St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University, St. Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/3(2015-04-01), 315-327  |x 1072-3374  |q 206:3<315  |1 2015  |2 206  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2313-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2313-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tagirdzhanov  |D A.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Blagovestchenskii  |D A.  |u St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kiselev  |D A.  |u St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/3(2015-04-01), 315-327  |x 1072-3374  |q 206:3<315  |1 2015  |2 206  |o 10958