Propagation of electromagnetic waves in non-homogeneous media
Radjesvarane Alexandre; Hassan Taha
Applications of Mathematics (2004)
- Volume: 49, Issue: 3, page 201-225
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topAlexandre, Radjesvarane, and Taha, Hassan. "Propagation of electromagnetic waves in non-homogeneous media." Applications of Mathematics 49.3 (2004): 201-225. <http://eudml.org/doc/33183>.
@article{Alexandre2004,
abstract = {We consider electromagnetic waves propagating in a periodic medium characterized by two small scales. We perform the corresponding homogenization process, relying on the modelling by Maxwell partial differential equations.},
author = {Alexandre, Radjesvarane, Taha, Hassan},
journal = {Applications of Mathematics},
keywords = {Maxwell equations; homogenization; two-scale convergence; oscillating test functions; Maxwell equations; homogenization; two-scale convergence; oscillating test functions},
language = {eng},
number = {3},
pages = {201-225},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Propagation of electromagnetic waves in non-homogeneous media},
url = {http://eudml.org/doc/33183},
volume = {49},
year = {2004},
}
TY - JOUR
AU - Alexandre, Radjesvarane
AU - Taha, Hassan
TI - Propagation of electromagnetic waves in non-homogeneous media
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 201
EP - 225
AB - We consider electromagnetic waves propagating in a periodic medium characterized by two small scales. We perform the corresponding homogenization process, relying on the modelling by Maxwell partial differential equations.
LA - eng
KW - Maxwell equations; homogenization; two-scale convergence; oscillating test functions; Maxwell equations; homogenization; two-scale convergence; oscillating test functions
UR - http://eudml.org/doc/33183
ER -
References
top- 10.1137/0523084, SIAM J. Math. Anal. 23 (1992), 1482–2518. (1992) Zbl0770.35005MR1185639DOI10.1137/0523084
- Sur un problème raide en homogénéisation elliptique, C. R. Acad. Sci., Paris, Sér. I 309 (1989), 761–766. (1989) MR1054959
- Un problème raide avec homogénéisation en électromagnétisme, C. R. Acad. Sci., Paris, Sér. I 310 (1990), 9–14. (1990) MR1044404
- Sur la propagation des ondes électromagnétiques dans un milieu composite (diélectrique-conducteur), C. R. Acad. Sci., Paris, Sér. I 310 (1990), 375–380. (1990) MR1046516
- Problèmes d’homogénéisation diélectrique conducteur dans les composites en structure périodique, Rapport CEA-DAM, Limeil-Valenton, 1990. (1990)
- Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam-New York-Oxford, 1978. (1978) MR0503330
- Electromagnétisme, en vue de la modélisation, Springer-Verlag, Paris, 1991. (1991) MR1616583
- Les discontinuités du rayonnement électromagnétique, Dunod, Paris, 1965. (1965) MR0184544
- Mathematical Methods in Electromagnetism. Linear Theory and Applications, World Scientific Publishers, River Edge, 1996. (1996) Zbl0917.65099MR1409140
- Un terme étrange venu d’ailleurs, In: Nonlinear Partial Differential Equations and Their Applications. Collège de France seminar, Vol. III. Research Notes in Mathematics, H. Brezis, and J. L. Lions (ed.), Pitman, London, 1982, pp. 98–138. (1982) MR0652509
- Un terme étrange venu d’ailleurs II, Nonlinear Partial Differential Equations and Their Applications. Coll. de France semin., Vol. II. Research Notes in Mathematics, H. Brezis, J. L. Lions (ed.), Pitman, London, 1982, pp. 154–178. (1982) MR0670272
- An Introduction to Homogenization. Oxford Lecture Series in Mathematics and its Applications 17, Oxford University Press, New York-Paris, 1999. (1999) MR1765047
- Analyse mathématique et calcul numérique pour les sciences et les techniques, Vol. 2, Masson, Paris, 1985. (1985)
- 10.1137/0520043, SIAM J. Math. Anal. 20 (1989), 608–623. (1989) Zbl0688.35007MR0990867DOI10.1137/0520043
- Introduction aux Méthodes asymptotiques et à l’homogénéisation. Application à la mécaniques des milieux continus, Masson, 1992. (1992)
- Non-Homogeneous Media and Vibration Theory. Lectures Notes in Physics 127, Springer-Verlag, Berlin-Heidelberg-New York, 1980. (1980) MR0578345
- Cours Peccot, Collège de France, 1977. (1977)
- Compensated compactness and applications to partial differential equations, Nonlinear Analysis and Mechanics, Vol. IV, Pitman, Boston-London, 1979, pp. 136–212. (1979) Zbl0437.35004MR0584398
- Homogenization of Maxwell equations, Case I. Linear Theory, Appl. Math. 46 (2001), 29–51. (2001) MR1808428
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.