Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Resonant Scattering and Generation of WavesConclusion and Outlook

Resonant Scattering and Generation of Waves: Conclusion and Outlook [We presented a mathematical model, its analysis, and computational simulations for the problem of resonance scattering and generation of waves by an isotropic, nonmagnetic, nonlinear, plate-like, layered, dielectric structure that is excited by one- or two-sided acting packets of plane waves. This model essentially extends the model proposed earlier in Yatsyk, International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-2009), 2009, [1], Angermann and Yatsyk, Int. J. Electromagn. Waves Electron. Syst. 15(1):36–49, 2010, [2], where only the case of normal incidence of a one-sided acting wave packet has been investigated. The involvement of the condition of phase synchronism into the boundary conditions of the problem allowed us to eliminate this restriction. Here, the incident wave packet may fall onto the nonlinear layered structure under an arbitrary angle, and the excitation from the other side of the structure is included. The wave packets under consideration consist of both strong electromagnetic fields at the excitation frequency of the nonlinear structure (leading to the generation of waves) and of weak fields at the multiple frequencies (which do not lead to the generation of harmonics but influence the process of scattering and generation of waves by the nonlinear structure). The investigations are performed in the domain of resonance frequencies (Shestopalov and Yatsyk, J. Nonlinear Math. Phys. 17(3):311–335, 2010, [3], Angermann and Yatsyk, Numerical Simulations – Applications, Examples and Theory, pp. 175–212. InTech, Rijeka, 2011, [4], Angermann and Yatsyk, Electromagnetic Waves, pp. 299–340. InTech, Rijeka, 2011, [5]), where both the radio (Chernogor, Nonlinear Radiophysics. V.N. Karazin Kharkov National University, Kharkov, 2004, [6]) and optical (Miloslavsky, Nonlinear Optics. V.N. Karazin Kharkov National University, Kharkov, 2008, [7]) frequency ranges are of interest.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Resonant Scattering and Generation of WavesConclusion and Outlook

Download PDF
9 pages

Loading next page...
 
/lp/springer-journals/resonant-scattering-and-generation-of-waves-conclusion-and-outlook-F0e2fS7FMI

References (1)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG, part of Springer Nature 2019
ISBN
978-3-319-96300-6
Pages
187 –196
DOI
10.1007/978-3-319-96301-3_8
Publisher site
See Chapter on Publisher Site

Abstract

[We presented a mathematical model, its analysis, and computational simulations for the problem of resonance scattering and generation of waves by an isotropic, nonmagnetic, nonlinear, plate-like, layered, dielectric structure that is excited by one- or two-sided acting packets of plane waves. This model essentially extends the model proposed earlier in Yatsyk, International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED-2009), 2009, [1], Angermann and Yatsyk, Int. J. Electromagn. Waves Electron. Syst. 15(1):36–49, 2010, [2], where only the case of normal incidence of a one-sided acting wave packet has been investigated. The involvement of the condition of phase synchronism into the boundary conditions of the problem allowed us to eliminate this restriction. Here, the incident wave packet may fall onto the nonlinear layered structure under an arbitrary angle, and the excitation from the other side of the structure is included. The wave packets under consideration consist of both strong electromagnetic fields at the excitation frequency of the nonlinear structure (leading to the generation of waves) and of weak fields at the multiple frequencies (which do not lead to the generation of harmonics but influence the process of scattering and generation of waves by the nonlinear structure). The investigations are performed in the domain of resonance frequencies (Shestopalov and Yatsyk, J. Nonlinear Math. Phys. 17(3):311–335, 2010, [3], Angermann and Yatsyk, Numerical Simulations – Applications, Examples and Theory, pp. 175–212. InTech, Rijeka, 2011, [4], Angermann and Yatsyk, Electromagnetic Waves, pp. 299–340. InTech, Rijeka, 2011, [5]), where both the radio (Chernogor, Nonlinear Radiophysics. V.N. Karazin Kharkov National University, Kharkov, 2004, [6]) and optical (Miloslavsky, Nonlinear Optics. V.N. Karazin Kharkov National University, Kharkov, 2008, [7]) frequency ranges are of interest.]

Published: Jul 27, 2018

Keywords: Karazin Kharkov National University; Incident Wave Packet; Nonlinear Structure; Angermann; Acoustic Wave Theory

There are no references for this article.