The Dynamics of Processes of Resonant Scattering and Generation of Waves by a Three-Layer Dielectric with a Nonlinear Medium
Keywords:
cubically polarizable medium, resonance scattering, wave generation, self-consistent analysis, spectral problems, relative Q-factor
Abstract
A mathematical model and results of numerical computations of the dynamics of processes of resonant scattering and generation of waves by a three-layer dielectric containing absolutely transparent decanalizing and canalizing nonlinear media are presented. The approach is based on a self-consistent solution of systems of nonlinear boundary value problems near the eigen-frequencies of the corresponding linearized spectral problems. The analysis of the relative Q-factors of the oscillations has shown the possibility of an indirect description of the processes of energy exchange.Downloads
References
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J.-M. Liu. Photonic Devices. – Cambridge: Cambridge University Press, 2005. – LI+1052 p.
Siegel P.H. Terahertz technology. // IEEE Transactions on Microwave Theory and Techniques. – 2002. – Vol. 50. – No. 3. – P. 910-928.
Reimann K. Table-top sources of ultrashort THz pulses. // Rep. Prog. Phys. – 2007. – Vol. 70. – P. 1597-1632.
Gavrilenko V.I. Optics of Nanomaterials. Singapore: Pan Stanford Publishing. – 2011. – 329 p.
Smirnov Yu.G., Valovik D.V. Electromagnetic wave propagation in nonlinear layered waveguide structures. Penza: PSU Press, 2011. – 248 p.
Angermann L., Kravchenko V.F., Pustovoit V.I., Yatsyk V.V. Resonance Scattering and Generation of Oscillations by Channeling Nonlinear Layered Media. // Doklady Physics. – 2013. – Vol. 58. – No. 12. – P. 535–539.
Angermann L., Yatsyk V.V. The multifunctional process of resonance scattering and generation of oscillations by nonlinear layered structures. // Cogent Physics. – 2016. – Vol. 3. – No. 1. – P. 1-19.
Shestopalov V.P., Sirenko Y.K. Dynamic Theory of Gratings. – Kiev: Naukova Dumka, 1989. – 214 p.
How to Cite
Angermann, L., Yatsyk, V. V., & Yatsyk, M. V. (1). The Dynamics of Processes of Resonant Scattering and Generation of Waves by a Three-Layer Dielectric with a Nonlinear Medium. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 33, 7-18. Retrieved from https://periodicals.karazin.ua/mia/article/view/9183
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