Hostname: page-component-76fb5796d-qxdb6 Total loading time: 0 Render date: 2024-04-26T16:49:14.665Z Has data issue: false hasContentIssue false

Computation of the transmissivity in heterogeneous layers*

Published online by Cambridge University Press:  15 January 2001

C. Benoit*
Affiliation:
Groupe de Dynamique des Phases Condensées (UMR 5581) , Université Montpellier 2, 34095 Montpellier Cedex 05, France
Get access

Abstract

The transmissivity of heterogeneous films is computed with the help of Green functions, solutions of discretized Maxwell's equations. These functions, developed in continued fractions, are determined using the spectral moments method (SMM). This spectral method, which allows us to obtain the response for all frequency with two series of iterations. We report computation of the transmissivity of a 2d photonic lattice and a 3d granular layer.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

This article has been presented at NUMELEC 2000.

References

S. Berthier, Optique des milieux composites (Polytechnica, Paris, 1993).
Bergman, D.J., Stroud, D.S., Solid State Phys. 46, 147 (1990). CrossRef
Lorentz, H.A., Wiedem. Ann. 9, 641 (1880). CrossRef
Maxwell-Garnett, J.C., Philos. Trans. Roy. Soc. London 203, 385 (1904); 205, 237 (1906).
Niklasson, G.A., Granqvist, C.G., J. Appl. Phys. 55, 3382 (1984). CrossRef
Bruggeman, D.A.G., Ann. Phys. (Leipz.) 24, 636 (1935). CrossRef
Maheu, B., Letoulouzan, J.N., Gouesbet, G., Appl. Opt. 23, 3353 (1984). CrossRef
Berthier, S., Driss-Khodja, K., Lafait, J., Europhys. Lett. 4, 1415 (1987). CrossRef
Yagil, Y., Deutscher, G., Appl. Phys. Lett. 52, 373 (1988). CrossRef
J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals (Princeton University Press, 1995).
Pendry, J.B., J. Phys.-Cond. Matter 8, 1085 (1996). CrossRef
A. Taflove, K.R. Umashankar, Finite element and Finite Difference Methods in Electromagnetic Scattering, Pier2, edited by M.A. Morgan (Elsevier, 1990).
K.S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1969).
J. Jin, The Finite Element Method in Electromagnetics (John Wiley and Sons Inc., New York, 1993).
R.F. Harrington, Field computation by Moment Methods (Macmillan, 1968).
M.F. Catedra, R.P. Torres, J. Basterrechea, E. Gago, The CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics (Artech House, Boston, 1996).
Wang, Y.M., Chew, W.C., IEEE Trans. Antennas Propag. 41, 1633 (1993). CrossRef
Defos du, M. Rau, F. Pessan, G. Ruffie, V. Vignéras-Lefebvre, J.P. Parneix, Eur. Phys. J. AP 1, 45 (1998).
P.M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, New-York, 1953), Vols. 1, 2.
S.K. Cho, Electromagnetics Scattering (Springer-Verlag, New-York, 1990).
Warnick, K.F., Arnold, D.V., J. Electromagn. Waves Appl. 10, 427 (1996). CrossRef
J.D. Jackson, Classical Electrodynamics (J. Wiley, New-York, 1962).
Benoit, C., Royer, E., Poussigue, G., J. Phys.-Cond. Matter 4, 3125 (1992). CrossRef
Benoit, C., J. Phys. C Solid State Phys. 20, 765 (1987). CrossRef
Benoit, C., Poussigue, G., Rouseau, V., Z . Lakhliai, C. Chenouni, Modelling Simul. Mater. Eng. 3, 161 (1995). CrossRef
Lakhliai, Z., Chenouni, D., Benoit, C., Poussigue, G., Brunet, M., Quentel, S., Sakout, A., Modelling Simul. Mater. Eng. 4, 597 (1996). CrossRef
Chenouni, D., Lakhliai, Z., Benoit, C., Poussigue, G., Sakout, A., IEEE Trans. Antennas Propag. 46, 165 (1998). CrossRef
Bachelier, E., Poussigue, G. , Borderies, P., Benoit, C., IEEE Microwave Guided Wave Lett. 7, 396 (1997). CrossRef
Rols, S., Benoit, C., Poussigue, G., Bachelier, E., Borderies, P., Modelling Simul. Mater. Eng. 6, 111 (1998). CrossRef
M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1956).
Bérenger, J.P., J. Comput. Phys. 114, 185 (1994); 127, 363 (1996).
Bayliss, A., Turkel, E., Commun. Pure Appl. Math. 23, 707 (1980). CrossRef
Mei, K.K., Pous, R., Chen, Z., Liuand, Y.W., Prouty, D., IEEE Trans. Antennas Propag. 42, 320 (1989). CrossRef
G. Mur, IEEE Trans. Electromagn. Compat. EMC-24, 377 (1982).
Higdon, R.L., Math. Comput. 49, 65 (1987). CrossRef
G.T. Ruck, D.E. Barrick, W.D. Stuart, C.K. Krichbaum, Radar Cross Section Handbook (New-York Plenum Press, 1970), Vol. 2.
C. Benoit, G. Poussigue, to be published.
Cassagne, D., Ann. Phys. 23, 1 (1998). CrossRef