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Maxwell's Equations as a Scattering Passive Linear System

2013
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SIAM Journal of Control and Optimization
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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 assume

doi:10.1137/120869444
fatcat:vyzyr7uxn5b7ji6ogjoe3gnwbu