Reviews of topical problems

Singularities of continuation of wave fields

 a,  b,  b
a Moscow Technical University of Communication and Informatic Science, ul. Aviamotornaya 8a, Moscow, 111024, Russian Federation
b Lomonosov Moscow State University, Vorobevy Gory, Moscow, 119991, Russian Federation

The state of the art of the problem of the analytical continuation of wave fields is reviewed. The problem is a multidisciplinary subject which involves radiophysics, acoustics, and optics on the one hand, and mathematical physics and the theory of differential equation, on the other. The qualitative aspects of the problem are examined. A computational algorithm for field singularities is given. The relation between the singularities and the ’computational catastrophes’ of scattering models is discussed. To illustrate the theoretical material, numerous examples are discussed in great detail.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 02.30.−f, 02.90.+p, 41.20.−q, 41.20.Jb (all)
DOI: 10.1070/PU1996v039n12ABEH000184
Citation: Kyurkchan A G, Sternin B Yu, Shatalov V E "Singularities of continuation of wave fields" Phys. Usp. 39 1221–1242 (1996)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Singularities of continuation of wave fields
AU Kyurkchan A G
FAU Kyurkchan AG
AU Sternin B Yu
FAU Sternin BY
AU Shatalov V E
FAU Shatalov VE
DP 10 Dec, 1996
TA Phys. Usp.
VI 39
IP 12
PG 1221-1242
RX 10.1070/PU1996v039n12ABEH000184
SO Phys. Usp. 1996 Dec 10;39(12):1221-1242

Оригинал: Кюркчан А Г, Стернин Б Ю, Шаталов В Е «Особенности продолжения волновых полей» УФН 166 1285–1308 (1996); DOI: 10.3367/UFNr.0166.199612b.1285

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