메뉴 건너뛰기




Volumn 66, Issue 6, 2006, Pages 2061-2084

Homogenization of a wire photonic crystal: The case of small volume fraction

Author keywords

Capacitary potentials; Homogenization; Maxwell equations; Metamaterials; Nonlocal effects; Thin structures; Two scale convergence

Indexed keywords

CRYSTAL STRUCTURE; ELECTROMAGNETIC FIELD EFFECTS; MAXWELL EQUATIONS; METAMAGNETISM; PROBLEM SOLVING;

EID: 33845533192     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/050633147     Document Type: Article
Times cited : (60)

References (23)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. ALLAIRE, Homogenization and two-scale convergence, SIAM J. Math. Anal., 23 (1992), pp. 1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 0039193284 scopus 로고
    • Homogenization and electromagnetic wave propagation in composite media with high conductive inclusions
    • G. Dal Maso and G. Dell'Antonio, eds., World Scientific, River Edge, NJ
    • M. ARTOLA, Homogenization and electromagnetic wave propagation in composite media with high conductive inclusions, in Composite Media Homogenization Theory, G. Dal Maso and G. Dell'Antonio, eds., World Scientific, River Edge, NJ, 1993, pp. 1-17.
    • (1993) Composite Media Homogenization Theory , pp. 1-17
    • Artola, M.1
  • 3
    • 0000521256 scopus 로고    scopus 로고
    • Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects
    • M. BELLIEUD AND G. BOUCHITTÉ, Homogenization of elliptic problems in a fiber reinforced structure. Nonlocal effects, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 26 (1998), pp. 407-436.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.26 , pp. 407-436
    • Bellieud, M.1    Bouchitté, G.2
  • 4
    • 0035541158 scopus 로고    scopus 로고
    • Homogenization of thin structures by two-scale method with respect to measures
    • G. BOUCHITTÉ AND I. FRAGALÀ, Homogenization of thin structures by two-scale method with respect to measures, SIAM J. Math. Anal., 32 (2001), pp. 1198-1226.
    • (2001) SIAM J. Math. Anal. , vol.32 , pp. 1198-1226
    • Bouchitté, G.1    Fragalà, I.2
  • 5
    • 0037005612 scopus 로고    scopus 로고
    • Homogenization of elastic problems on thin structures: A measure-fattening approach
    • G. BOUCHITTÉ AND I. FRAGALÀ, Homogenization of elastic problems on thin structures: A measure-fattening approach. J. Convex Anal., 9 (2002), pp. 339-362.
    • (2002) J. Convex Anal. , vol.9 , pp. 339-362
    • Bouchitté, G.1    Fragalà, I.2
  • 6
    • 0003235522 scopus 로고    scopus 로고
    • Mathematical methods in electromagnetism. linear theory and applications
    • World Scientific, River Edge, NJ
    • M. CESSENAT, Mathematical Methods in Electromagnetism. Linear Theory and Applications, Ser. Adv. Math. Appl. Sci. 41, World Scientific, River Edge, NJ, 1996.
    • (1996) Ser. Adv. Math. Appl. Sci. , vol.41
    • Cessenat, M.1
  • 7
    • 0002494698 scopus 로고
    • Un terme étrange venu d'ailleurs, i
    • Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, Vol. II, Pitman, Boston
    • D. CIORANESCU AND F. MURAT, Un terme étrange venu d'ailleurs, I, in Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, Vol. II, Res. Notes in Math. 60, Pitman, Boston, 1982, pp. 98-138.
    • (1982) Res. Notes in Math. , vol.60 , pp. 98-138
    • Cioranescu, D.1    Murat, F.2
  • 8
    • 0002494698 scopus 로고
    • Un terme étrange venu d'ailleurs, II
    • Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, Vol. III, Pitman, Boston
    • D. CIORANESCU AND F. MURAT, Un terme étrange venu d'ailleurs, II, in Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar, Vol. III, Res. Notes in Math. 60, Pitman, Boston, 1982, pp. 389-390.
    • (1982) Res. Notes in Math. , vol.60 , pp. 389-390
    • Cioranescu, D.1    Murat, F.2
  • 13
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • CRC Press, Boca Raton, FL
    • L. C. EVANS AND R. F. GARIEPY, Measure Theory and Fine Properties of Functions, Stud. Adv. Math., CRC Press, Boca Raton, FL, 1992.
    • (1992) Stud. Adv. Math.
    • Evans, L.C.1    Gariepy, R.F.2
  • 14
    • 33845513643 scopus 로고    scopus 로고
    • Homogenization of a set of parallel fibers
    • D. FELBACQ AND G. BOUCHITTÉ, Homogenization of a set of parallel fibers, Waves in Random Media, 7 (1997), pp. 1-12.
    • (1997) Waves in Random Media , vol.7 , pp. 1-12
    • Felbacq, D.1    Bouchitté, G.2
  • 16
    • 33845513429 scopus 로고    scopus 로고
    • Bloch vector dependence of the plasma frequency in metallic photonic crystals
    • submitted
    • D. FELBACQ, G. BOUCHITTÉ, AND F. ZOLLA, Bloch vector dependence of the plasma frequency in metallic photonic crystals, Phys. Rev. E, submitted.
    • Phys. Rev. e
    • Felbacq, D.1    Bouchitté, G.2    Zolla, F.3
  • 19
    • 0000151651 scopus 로고
    • Efficient calculation of the Green's function for electromagnetic scattering by gratings
    • N. A. NICOROVICI, R. C. MCPHEDRAN, AND R. PETIT, Efficient calculation of the Green's function for electromagnetic scattering by gratings, Phys. Rev. E, 49 (1994), p. 4563-4573.
    • (1994) Phys. Rev. E , vol.49 , pp. 4563-4573
    • Nicorovici, N.A.1    Mcphedran, R.C.2    Petit, R.3
  • 20
    • 0000562240 scopus 로고    scopus 로고
    • Extremely low frequency plasmons in metallic mesostructures
    • J. B. PENDRY, A. J. HOLDEN, W. J. STEWART, AND I. YOUNGS, Extremely low frequency plasmons in metallic mesostructures, Phys. Rev. Lett., 76 (1996), pp. 4773-4776.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4773-4776
    • Pendry, J.B.1    Holden, A.J.2    Stewart, W.J.3    Youngs, I.4
  • 23
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • Pitman, Boston, MA
    • L. TARTAR, Compensated compactness and applications to partial differential equations, in Nonlinear Analysis and Mechanics (Heriot-Watt Symposium), Vol. IV, Pitman, Boston, MA, 1979, pp. 136-212.
    • (1979) Nonlinear Analysis and Mechanics (Heriot-Watt Symposium) , vol.4 , pp. 136-212
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.