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Mathematical models for scattering and generation of plane wave packets on layered cubically polarisable structures
Clausthal University of Technology, Clausthal, Germany..
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.ORCID iD: 0000-0002-2691-2820
O. Ya, Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine.
2013 (English)In: Far East Journal of Applied Mathematics, ISSN 0972-0960, Vol. 81, no 1-2, p. 1-31Article in journal (Refereed) Published
Abstract [en]

The paper deals with different formulations of mathematical models for the analysis of processes of resonance scattering and generation of plane wave packets on isotropic, nonmagnetic, linearly polarised media with a nonlinear, layered dielectric structure of cubic polarisability. For each formulation, sufficient conditions for the existence and, partially, uniqueness of the corresponding solution are derived.
Place, publisher, year, edition, pages
2013. Vol. 81, no 1-2, p. 1-31
Keywords [en]
resonance scattering, cubic polarisability, third harmonic generation (THG), frequency tripling, wave packets
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-15976OAI: oai:DiVA.org:hig-15976DiVA, id: diva2:685633
Available from: 2014-01-09 Created: 2014-01-09 Last updated: 2022-09-15Bibliographically approved

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Shestopalov, Yury V.

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