Effective electromagnetic properties of honeycomb composites, and hollow-pyramidal and alternating-wedge absorbers

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 2, 2005, Pages 728-736

  Johansson, Martin ^a   Holloway, Christopher L ^b   Kuester, Edward F ^c  

^a Ericsson Microwave Systems AB   (Sweden)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c UCB 450   (United States)

Author keywords

Composite materials; Effective media; Effective properties; EM absorber; Homogenization; Periodic structures

Indexed keywords

APPROXIMATION THEORY; COMPOSITE MATERIALS; COMPUTATIONAL GEOMETRY; ELECTROMAGNETIC FIELD THEORY; FINITE ELEMENT METHOD; MAXWELL EQUATIONS; TENSORS;

EFFECTIVE MEDIA; EFFECTIVE PROPERTIES; HOMOGENIZATION; HONEYCOMB COMPOSITE; PERIODIC STRUCTURES;

ELECTROMAGNETIC WAVE ABSORPTION;

EID: 13944257336     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2004.841320     Document Type: Article

References (37)

1. C. L. Holloway, R. R. DeLyser, R. F. German, P. McKenna, and M. Kanda, "Comparison of electromagnetic absorber used in anechoic and semi-anechoic chambers for emissions and immunity testing of digital devices," [i#IEEE Trans. Electromagn. Compat.#1i], vol. 39, no. 1, pp. 33-47, Feb. 1997.
2. C. L. Holloway, P. McKenna, R. Dalke, R. Perala, and C. Devor, "Time-domain modeling, characterization and measurements of anechoic and semi-anechoic electromagnetic test chambers," [i#IEEE Trans. Electromagn. Compat., Special Issue Honoring M. Kanda#1i], vol. 44, no. 1, pp. 102-118, Feb. 2002.
3. N. Marly, B. Baekelandt, D. De Zutter, and H. F. Pues, "Integral equation modeling of the scattering and absorption of multilayered doubly-periodic lossy structures," [i#IEEE Trans. Antennas Propag.#1i], vol. 43, no. 11, pp. 1281-1287, Nov. 1995.
4. E. Sanchez-Palencia, [i#Non-Homogeneous Media and Vibration Theory#1i], Berlin: Springer-Verlag, 1980, Lecture Notes in Physics no. 127, pp. 68-77.
5. M. Codegone, "On the acoustic impedance condition for ondulated boundary," [i#Ann. Inst. Henri Poincaré Sect. A: Phys. Théorique#1i] vol. 36, pp. 1-18, 1982.
6. 2 AN Modélis. Math. Anal. Numér.#1i], vol. 19, pp. 33-63, 1985.
7. R. R. DeLyser and E. F. Kuester, "Homogenization analysis of strip gratings," [i#J. Electromagn. Waves Appl.#1i], vol. 5, no. 11, pp. 1217-1236, 1991.
8. C. L. Holloway, "Edge and Surface Shape Effects on Conductor Loss Associated with Planar Circuits," University of Colorado at Boulder, Dept. Electrical and Computer Engineering, MIMICAD Tech. Rep. 12, Apr. 1992.
9. C. L. Holloway and E. F. Kuester, "A homogenization-based derivation of effective boundary conditions for perfectly conducting periodic surfaces," [i#Radio Sci.#1i], vol. 35, no. 3, pp. 661-681, May-June 2000.
10. C. L. Holloway and E. F. Kuester, "Impedance-type boundary conditions for a periodic interface between a dielectric and highly conducting medium," [i#IEEE Trans. Antennas Propag., Special Issue Honoring J. R. Wait#1i], vol. 48, no. 10, pp. 1660-1672, 2000.
11. E. F. Kuester and C. L. Holloway, "A low-frequency model for wedge or pyramid absorber arrays - I: Theory," [i#IEEE Trans. Electromagn. Compat.#1i], vol. 36, no. 4, pp. 300-306, Nov. 1994.
12. C. L. Holloway and E. F. Kuester, "A low-frequency model for wedge or pyramid absorber arrays - II: Computed and measured results," [i#IEEE Trans. Electromagn. Compat.#1i], vol. 36, no. 4, pp. 307-313, Nov. 1994.
13. E. F. Kuester and C. L. Holloway, "Improved low-frequency performance of pyramid-cone absorbers for application in semi-anechoic chambers" in [i#Proc. IEEE National Symp. Electromag. Compat.#1i], Denver, CO, 1989, pp. 394-399.
14. C. L. Holloway, P. L. Perini, R. R. DeLyser, and K. C. Allen, "Analysis of composite walls and their effects on short path propagation modeling," [i#IEEE Trans. Veh. Technol.#1i], vol. 46, no. 3, pp. 730-738, 1997.
15. T. Ellam, "Design and synthesis of compact absorber for EMC chamber applications," in [i#Proc. Int. EMC/ESD#1i], Anaheim, CA, 1994, pp. 147-155.
16. C. L. Holloway, P. McKenna, R. Dalke, R. Perala, and C. Devor, "Time-domain modeling, characterization and measurements of anechoic and semi-anechoic electromagnetic test chambers," [i#IEEE Trans. Electromagn. Compat.#1i], vol. 44, no. 1, pp. 102-118, Feb. 2002.
17. W. Sun, K. Liu, and C. A. Balanis, "Analysis of singly and doubly periodic absorber by frequency-domain finite-difference method," [i#IEEE Trans. Antennas Propag.#1i], vol. 44, no. 6, pp. 798-805, Jun. 1996.
18. C. L. Holloway, P. Mckenna, and R. DeLyser, "A numerical investigation on the accuracy of the use of homogenization for analyzing periodic absorbing arrays," in [i#Proc. Int. Symp. Electromag. Theory, URSI#1i], St. Petersburg, Russia, 1995, pp. 296-298.
19. A. Bensoussan, J. Lions, and G. Papanicolau, [i#Asymptotic Analysis for Periodic Structures#1i], Amsterdam: North-Holland, 1978.
20. J. Lions, [i#Some Methods in the Mathematical Analysis of Systems and their Control#1i]. New York: Gordon and Breach, 1981, ch. 1.
21. N. S. Bakhvalov and G. P. Panasenko, [i#Homogenization: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials#1i], Dordrecht: Kluwer Academic, 1989.
22. E. Sanchez-Palencia, "Comportements local et macroscopique d'un type de milieux physiques hétérogènes," [i#Int. J. Eng. Sci.#1i], vol. 12, pp. 331-351, 1974.
23. A. Potier, "Recherches sur l'intégration d'un systéme d'équations aux différentielles partielles á coefficients périodiques," [i#Comptes Rendus Assoc. Franç. Avancement Sci. (Bordeaux)#1i], pp. 255-272, 1872. Session 1, [also in A. Potier, Mémoires sur l'Électricité et l'Optique. Paris: Gauthier-Villars, 1912, pp. 239-256].
24. H. Chipart, "Sur la propagation de la lumière dans les milieux à structure périodique," [i#Comptes Rendus Acad. Sci. (Paris)#1i], vol. 178, pp. 319-321, 1924.
25. J. B. Keller, "Effective behavior of heterogeneous media," in [i#Statistical Mechanics and Statistical Methods in Theory and Application#1i] U. Landman, Ed. New York: Plenum Press, 1977, pp. 631-644.
26. E. F. Kuester and C. L. Holloway, "Comparison of approximations for effective parameters of artificial dielectrics," [i#IEEE Trans. Microwave Theory Tech.#1i], vol. 38, no. 11, pp. 1752-1755, Nov. 1990.
27. Z. Hashin and S. Shtrikman, "A variational approach to the theory of the effective magnetic permeability of multiphase materials," [i#J. Appl. Phys.#1i], vol. 33, pp. 3125-3131, 1962.
28. K. Lichtenecker, "Über den widerstand gewisser zusammengesetzter körpedicher Leiter," [i#Phys. Zeits.#1i], vol. 19, pp. 374-382, 1918.
29. K. Lichtenecker, "Der elektrische leitungswiderstand künstlicher und naürlicher aggregate," [i#Phys. Zeits.#1i], vol. 25, pp. 169-181, 1924. 193-204, 225-233.
30. W. T. Perrins, D. R. McKenzie, and R. C. McPhedran, "Transport properties of regular arrays of cylinders," in [i#Proc. Roy. Soc. London#1i], vol. A 369, 1979, pp. 207-225.
31. C. L. Holloway and M. Johansson, "Effective electromagnetic material properties for alternating wedges and hollow pyramidal absorbers," in [i#IEEE Antennas Propagat. Soc. Symp.#1i], Montreal, Canada, Jul. 13-18, 1997, pp. 2292-2295.
32. A. M. Dykhne, "Conductivity of a two-dimensional two-phase system," in [i#Sov. Phys. JETP#1i], vol. 32, Jan. 1971, pp. 63-65.
33. J. Nevard and J. Keller, "Reciprocal relations for effective conductivities of anisotropic media," [i#J. Math. Phys.#1i], vol. 26, no. 11, pp. 2761-2765, 1985.
34. M. Nakamura and M. Hirasawa, "Bounds on the effective condutivity of a composite by the finite element method," [i#J. Appl. Phys.#1i], vol. 54, pp. 4216-4217, 1983.
35. N. M. Johansson and J. R. Sanford, "Characterization of artificially anisotropic surfaces using waveguide simulator techniques," in [i#Proc. IEEE Antennas Propagat. Soc. Symp.#1i], Seattle, WA, 1994, pp. 1468-1471.
36. J. R. Sanford and N. M. Johansson, "Finite element waveguide simulator techniques," in [i#Proc. ACES Conf.#1i], Monterey, CA, 1995, pp. 1085-1093.
37. B. Baekelandt, F. Olyslager, and D. de Zutter, "Low-frequency reflectivity approximation for two- and three-dimensional EM absorbers," [i#IEEE Trans, Electromag. Compat.#1i], vol. 41, no. 4, pp. 354-360, 1999.