Mathematical analysis of high frequency pulse propagation in nonlinear dielectric materials

DOI10.1016/j.nonrwa.2009.12.006zbMath1200.78005OpenAlexW2067721153MaRDI QIDQ708500

Younis Zaidan

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.12.006

zbMATH Keywords

well-posednesspolarizationelectromagnetic wave propagationDebye modeldielectric materialsMaxwell-systemterahertz imaging

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Related Items (3)

Analysis of electromagnetic wave propagation in complex dielectric materials with uncertainty ⋮ Post-processing technique of two-grid algorithm for wave propagation with Debye polarization in nonlinear dielectric materials ⋮ Solvability of wave propagation with Debye polarization in nonlinear dielectric materials and its finite element methods approximation

Cites Work

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• Maxwell-systems with nonlinear polarization.
• Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
• Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters
• Bioterrorism: Mathematical Modeling Applications in Homeland Security
• Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts
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