A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
Maxwell's Equations as a Scattering Passive Linear System
SIAM Journal of Control and Optimization
We consider Maxwell's equations on a bounded domain Ω ⊂ R 3 with Lipschitz boundary Γ, with boundary control and boundary observation. Relying on an abstract framework developed by us in an earlier paper, we define a scattering passive linear system that corresponds to Maxwell's equations and investigate its properties. The state of the system is B D , where B and D are the magnetic and electric flux densities, and the state space of the system is X = E⊕E, where E = L 2 (Ω; R 3 ). We assumedoi:10.1137/120869444 fatcat:vyzyr7uxn5b7ji6ogjoe3gnwbu