On the Maxwell's system in composite media

A. Oster; N. Turbe

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 4, page 481-496
  • ISSN: 0764-583X

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Oster, A., and Turbe, N.. "On the Maxwell's system in composite media." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.4 (1993): 481-496. <http://eudml.org/doc/193711>.

@article{Oster1993,
author = {Oster, A., Turbe, N.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {composite media; Maxwell's equations; eigenvalues; eigenfunctions; magnetic fields},
language = {eng},
number = {4},
pages = {481-496},
publisher = {Dunod},
title = {On the Maxwell's system in composite media},
url = {http://eudml.org/doc/193711},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Oster, A.
AU - Turbe, N.
TI - On the Maxwell's system in composite media
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 4
SP - 481
EP - 496
LA - eng
KW - composite media; Maxwell's equations; eigenvalues; eigenfunctions; magnetic fields
UR - http://eudml.org/doc/193711
ER -

References

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  1. [1] A. BENSOUSSAN, J. L. LIONS, G. PAPANICOLAOU, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam (1978). Zbl0404.35001MR503330
  2. [2] F. BLOCH, Uder die Quantenmechanick der Electronen on Kristallgittern, Z. Phys. 52, 1928, pp. 555-600. JFM54.0990.01
  3. [3] G. DUVAUT, J. L. LIONS, Les inéquations en Mécanique et en Physique, Dunod, Paris, 1972. Zbl0298.73001MR464857
  4. [4] T. NACIRI, Propagation des ondes dans les matériaux hétérogènes périodiques viscoélastiques, Thèse de l'E.N.P.C, 1990. 
  5. [5] J. C. NEDELEC, Mixed Finite Elements in R3, Numer. Math. 35, 1980, pp. 315-341. Zbl0419.65069MR592160
  6. [6] J. SANCHEZ-PALENCIA, E. SANCHEZ-PALENCIA, Vibration and Coupling of Continuous Systems. Asymptotic Method, Springer, Berlin, 1991. Zbl0698.70003
  7. [7] E. SANCHEZ-PALENCIA, Non-homogeneous Media and Vibration Theory, Springer, Berlin, 1980. Zbl0432.70002
  8. [8] N. TURBE, Applications of Bloch Expansion to Periodic Elastic and Viscoelastic Media, Math. Meth. in the Appl Sci. 4, 1982, pp. 433-449. Zbl0495.73014MR669137
  9. [9] N. TURBE, G. A. MAUGIN, On the Linear Piezoelectricity of Composite Materials, Math, in the Appl. Sci. 14, 1991, pp. 403-412. Zbl0731.73071MR1119237
  10. [10] C. H. WILCOX, Theory of Bloch waves, J. Anal. Math. 33, 1975, pp. 146-167. Zbl0408.35067MR516045
  11. [11] P. YEH, A. YARIV, C. S. HONG, Electromagnetic Propagation in Periodic Stratified Media, J. Opt. Soc. AM 67, 1977, pp.423-438. 

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