Well-posedness for Systems Representing Electromagnetic/Acoustic Wavefront Interaction

H. T. Banks; J. K. Raye

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 8, page 105-125
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Banks, H. T., and Raye, J. K.. "Well-posedness for Systems Representing Electromagnetic/Acoustic Wavefront Interaction." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 105-125. <http://eudml.org/doc/90641>.

@article{Banks2010,
abstract = { 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. },
author = {Banks, H. T., Raye, J. K.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Electromagnetic interrogation; acoustic wave reflectors; existence and uniqueness.; electromagnetic interrogation; existence; uniqueness; acoustic pressure-dependent Debye polarization models},
language = {eng},
month = {3},
pages = {105-125},
publisher = {EDP Sciences},
title = {Well-posedness for Systems Representing Electromagnetic/Acoustic Wavefront Interaction},
url = {http://eudml.org/doc/90641},
volume = {8},
year = {2010},
}

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
DA - 2010/3//
PB - EDP Sciences
VL - 8
SP - 105
EP - 125
AB - 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.
LA - eng
KW - Electromagnetic interrogation; acoustic wave reflectors; existence and uniqueness.; electromagnetic interrogation; existence; uniqueness; acoustic pressure-dependent Debye polarization models
UR - http://eudml.org/doc/90641
ER -

References

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  1. R.A. Albanese, J. Penn and R. Medina, Short-rise-time microwave pulse propagation through dispersive biological media. J. Opt. Soc. Amer. A6 (1989) 1441-1446.  
  2. J.C. Anderson, Dielectrics. Reinhold Publishing Company, New York (1964).  
  3. H.T. Banks, Necessary conditions for control problems with variable time lags. SIAM J. Control6 (1968) 9-47.  Zbl0159.13002
  4. H.T. Banks, M.W. Buksas and T. Lin, Electromagnetic Material Interrogation Using Conductive Interfaces and Acoustic Wavefronts. SIAM Frontiers in Applied Mathematics, Philadelphia (2000).  Zbl1008.78500
  5. H.T. Banks and J.K. Raye, Pressure-dependent polarization models in the context of electromagnetic interrogation (in preparation).  
  6. H.T. Banks and J.K. Raye, 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).  Zbl1068.35165
  7. H.T. Banks and J.K. Raye, 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).  Zbl1125.35300
  8. H.T. Banks and J.K. Raye, 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).  
  9. H.T. Banks, R.C. Smith and Y. Wang, Smart Material Structures: Modeling, Estimation, and Control. J. Wiley & Sons, Chichester (1996).  Zbl0882.93001
  10. T. Dupont, L2 estimates for Galerkin methods for second order hyperbolic systems. SIAM J. Numer. Anal.10 (1973) 880-889.  Zbl0239.65087
  11. W.R. Scott Jr. and J.S. Martin, An experimental model of an electromagnetic sensor for detecting land mines. IEEE Antennas and Propagation Society International Symposium2 (1998) 978-981.  
  12. D.E. Lawrence and K. Sarabandi, Acoustic and electromagnetic wave interaction: Analytical formulation for acousto-electromagnetic scattering behavior of a dielectric cylinder. IEEE Trans. on Antennas and Propagation49 (2001) 1982-1992.  
  13. R. Zimmermann, K. McDonald, J.B. Way and R. Oren, 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 International1 (1994) 226-228.  

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