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.
Classification : 35Q60
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},
zbl = {1068.35165},
mrnumber = {1932946},
language = {en},
url = {www.numdam.org/item/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/item/COCV_2002__8__105_0/
[1] , and, Short-rise-time microwave pulse propagation through dispersive biological media. J. Opt. Soc. Amer. A 6 (1989) 1441-1446.
[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 231007 | Zbl 0159.13002
[4] , and, Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts. SIAM Frontiers in Applied Mathematics, Philadelphia (2000). | MR 1787981 | Zbl 1008.78500
[5] and, Pressure-dependent polarization models in the context of electromagnetic interrogation (in preparation).
[6] and, 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).
[7] and, 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 1125.35300
[8] and, 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 2009946
[9] , and, Smart Material Structures: Modeling, Estimation, and Control. J. Wiley & Sons, Chichester (1996). | Zbl 0882.93001
[10] , L estimates for Galerkin methods for second order hyperbolic systems. SIAM J. Numer. Anal. 10 (1973) 880-889. | MR 349045 | Zbl 0239.65087
[11] and, An experimental model of an electromagnetic sensor for detecting land mines. IEEE Antennas and Propagation Society International Symposium 2 (1998) 978-981.
[12] and, 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.
[13] ,, and, 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.
