In this paper we consider dispersive electromagnetic systems in dielectric materials in the presence of acoustic wavefronts. A theory for existence, uniqueness, and continuous dependence on data is presented for a general class of systems which include acoustic pressure-dependent Debye polarization models for dielectric materials.
Mots-clés : electromagnetic interrogation, acoustic wave reflectors, existence and uniqueness
@article{COCV_2002__8__105_0, author = {Banks, H. T. and Raye, J. K.}, title = {Well-posedness for systems representing electromagnetic/acoustic wavefront interaction}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {105--125}, publisher = {EDP-Sciences}, volume = {8}, year = {2002}, doi = {10.1051/cocv:2002019}, mrnumber = {1932946}, zbl = {1068.35165}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2002019/} }
TY - JOUR AU - Banks, H. T. AU - Raye, J. K. TI - Well-posedness for systems representing electromagnetic/acoustic wavefront interaction JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 105 EP - 125 VL - 8 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2002019/ DO - 10.1051/cocv:2002019 LA - en ID - COCV_2002__8__105_0 ER -
%0 Journal Article %A Banks, H. T. %A Raye, J. K. %T Well-posedness for systems representing electromagnetic/acoustic wavefront interaction %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 105-125 %V 8 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2002019/ %R 10.1051/cocv:2002019 %G en %F COCV_2002__8__105_0
Banks, H. T.; Raye, J. K. Well-posedness for systems representing electromagnetic/acoustic wavefront interaction. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002), pp. 105-125. doi : 10.1051/cocv:2002019. http://www.numdam.org/articles/10.1051/cocv:2002019/
[1] Short-rise-time microwave pulse propagation through dispersive biological media. J. Opt. Soc. Amer. A 6 (1989) 1441-1446.
, and ,[2] Dielectrics. Reinhold Publishing Company, New York (1964).
,[3] Necessary conditions for control problems with variable time lags. SIAM J. Control 6 (1968) 9-47. | MR | Zbl
,[4] Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts. SIAM Frontiers in Applied Mathematics, Philadelphia (2000). | MR | Zbl
, and ,[5] Pressure-dependent polarization models in the context of electromagnetic interrogation (in preparation).
and ,[6] Well-posedness for systems representing electromagnetic/ acoustic wavefront interaction, Technical Report. Center for Research in Scientific Computation, North Carolina State University - CRSC-TR01-34 (2001).
and ,[7] Computational methods for nonsmooth acoustic systems, Technical Report. Center for Research in Scientific Computation, North Carolina State University - CRSC-TR01-02 (2001); Computational and Applied Mathematics (to appear). | Zbl
and ,[8] Computational methods for nonsmooth acoustic systems arising in an electromagnetic hysteresis identification problem, in Proc. of the 18th ASME Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA (2001) (to appear). | MR
and ,[9] Smart Material Structures: Modeling, Estimation, and Control. J. Wiley & Sons, Chichester (1996). | Zbl
, and ,[10] L estimates for Galerkin methods for second order hyperbolic systems. SIAM J. Numer. Anal. 10 (1973) 880-889. | MR | Zbl
,[11] An experimental model of an electromagnetic sensor for detecting land mines. IEEE Antennas and Propagation Society International Symposium 2 (1998) 978-981.
and ,[12] Acoustic and electromagnetic wave interaction: Analytical formulation for acousto-electromagnetic scattering behavior of a dielectric cylinder. IEEE Trans. on Antennas and Propagation 49 (2001) 1982-1992.
and ,[13] Microclimate, water potential, transpiration, and bole dielectric constant of coniferous and deciduous tree species in the continental boreal ecotone of central Alaska, in Geoscience and Remote Sensing Symposium, 1994. IGARSS '94. Surface and Atmospheric Remote Sensing: Technologies, Data Analysis and Interpretation International 1 (1994) 226-228.
, , and ,Cité par Sources :