Electromagnetic scattering for time-domain Maxwell’s equations in an unbounded structure
2017 ◽
Vol 27
(10)
◽
pp. 1843-1870
◽
Keyword(s):
A Priori
◽
The goal of this work is to study the electromagnetic scattering problem of time-domain Maxwell’s equations in an unbounded structure. An exact transparent boundary condition is developed to reformulate the scattering problem into an initial-boundary value problem in an infinite rectangular slab. The well-posedness and stability are established for the reduced problem. Our proof is based on the method of energy, the Lax–Milgram lemma, and the inversion theorem of the Laplace transform. Moreover, a priori estimates with explicit dependence on the time are achieved for the electric field by directly studying the time-domain Maxwell equations.
1994 ◽
Vol 4
(8)
◽
pp. 279-281
◽
Keyword(s):
2011 ◽
Vol 52
(12)
◽
pp. 123701
◽
Keyword(s):
Keyword(s):
2006 ◽
Vol 47
(12)
◽
pp. 123508
◽
Keyword(s):
Keyword(s):
1991 ◽
Vol 39
(3)
◽
pp. 471-479
◽