Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity

• Main Authors: Li, Peijun, Wang, Li-Lian, Wood, Aihua
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2015
• Subjects: Time-domain Maxwell equations; Transparent boundary conditions; Three-dimensional open cavity scattering problem; Well-posedness; Stability; A priori estimates
• Online Access: https://hdl.handle.net/10356/80967; http://hdl.handle.net/10220/39039
• Institution: Nanyang Technological University

This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional open cavity. An exact transparent boundary condition is developed to reformulate the open cavity scattering problem in an unbounded domain, equivalently, into an initial-boundary value problem in a bounded domain. The well-posedness and stability are studied for the reduced problem. Moreover, an a priori estimate is established for the electric field with a minimum regularity requirement for the data.