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UFN, 1996, Volume 166, Number 12, Pages 1285–1308 (Mi ufn1270)  

This article is cited in 62 scientific papers (total in 62 papers)

REVIEWS OF TOPICAL PROBLEMS

Singularities of continuation of wave fields

A. G. Kyurkchana, B. Yu. Sterninb, V. E. Shatalovb

a Moscow Technical University of Communications and Informatics
b Lomonosov Moscow State University

Abstract: 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.

DOI: https://doi.org/10.3367/UFNr.0166.199612b.1285

Full text: PDF file (4156 kB)
Full text: http://www.ufn.ru/ru/articles/1996/12/b/

English version:
Physics–Uspekhi, 1996, 39:12, 1221–1242

Bibliographic databases:

Document Type: Article
PACS: 02.30.-f, 02.90.+p, 41.20.-q, 41.20.Jb
Received: December 31, 1996

Citation: A. G. Kyurkchan, B. Yu. Sternin, V. E. Shatalov, “Singularities of continuation of wave fields”, UFN, 166:12 (1996), 1285–1308; Phys. Usp., 39:12 (1996), 1221–1242

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    Citing articles on Google Scholar: Russian citations, English citations
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    2. Kyurkchan A., Stukov A., “A Method of Auxiliary Spline Currents for Wave-Diffraction Problems”, Dokl. Phys., 45:6 (2000), 269–272  crossref  adsnasa  isi  scopus
    3. Kyurkchan A., “On a Minimal Domain Occupied by Currents Implementing the Given Directional Pattern”, J. Commun. Technol. Electron., 45:3 (2000), 258–260  isi
    4. Botten L., Nicorovici N., McPhedran R., de Sterke C., Asatryan A., “Photonic Band Structure Calculations Using Scattering Matrices”, Phys. Rev. E, 64:4, Part 2 (2001), 046603  crossref  adsnasa  isi  scopus
    5. Kurkchan A., Minaev S., Soloveichik A., “A Modification of the Method of Discrete Sources Based on Prior Information About the Singularities of the Diffracted Field”, J. Commun. Technol. Electron., 46:6 (2001), 615–621  isi
    6. Kyurkchan A., Demin D., “Electromagnetic Wave Diffraction From Impedance Scatterers with Piecewise-Smooth Boundaries”, J. Commun. Technol. Electron., 47:8 (2002), 856–863  isi
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    10. Kyurkchan A., Anyutin A., “Wavelets and the Method of Auxiliary Currents”, Dokl. Math., 65:2 (2002), 296–300  zmath  isi
    11. Phys. Usp., 45:3 (2002), 325–330  mathnet  crossref  crossref  isi
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    29. Shubitidze F., Barrowes B., O'Neill K., Shamatava I., “Advanced Emi Modeling and Processing Approaches for Uxo Discrimination”, Mmet 2006: 11th International Conference on Mathematical Methods in Electromagnetic Theory, Conference Proceedings, IEEE, 2006, 126–131  crossref  isi
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