Mathematical analysis of high frequency pulse propagation in nonlinear dielectric materials

作者：Zaidan Younis^*

来源：Nonlinear Analysis: Real World Applications , 2010, 11(5): 3453-3462.

DOI：10.1016/j.nonrwa.2009.12.006

• Maxwell-system
• Debye model
• Well-posedness
• Electromagnetic wave propagation
• Dielectric materials
• Terahertz imaging
• Polarization

We consider high frequency electromagnetic pulse propagation in complex nonlinear dielectric materials. The physical problem is modeled by a Maxwell system which is then reduced to the specific problem. The nonlinear properties of the material are accounted for by using a nonlinear Debye model for the polarization. We use a Galerkin method to establish existence, uniqueness and continuous dependence of the resulting system.

• 出版日期2010-10