32
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Depolarization regions of nonzero volume in bianisotropic homogenized composites

&
Pages 269-281 | Received 21 Aug 2006, Accepted 17 Dec 2006, Published online: 03 Jul 2007

References

  • Lakhtakia , A. , ed. 1996 . Selected Papers on Linear Optical Composite Materials , Bellingham, WA : SPIE Optical Engineering Press .
  • Walser , R. M. 2003 . “ Metamaterials: an introduction ” . In Introduction to Complex Mediums for Optics and Electromagnetics , Edited by: Weiglhofer , W. S. and Lakhtakia , A. 295 – 316 . Bellingham, WA : SPIE Press .
  • Mackay , T. G. 2005 . Linear and nonlinear homogenized composite mediums as metamaterials . Electromagnetics , 25 : 461 – 481 .
  • Wu , Y. , Li , J. , Zhang , Z.-Q. and Chan , C. T. 2006 . Effective medium theory for magnetodielectric composites: beyond the long-wavelength limit . Physical Review B , 74 : 085111
  • Michel , B. 2000 . “ Recent developments in the homogenization of linear bianisotropic composite materials ” . In Electromagnetic Fields in Unconventional Materials and Structures , Edited by: Singh , O. N. and Lakhtakia , A. 39 – 82 . New York : John Wiley .
  • Lakhtakia , A. and Weiglhofer , W. S. 1993 . Maxwell–Garnett estimates of the effective properties of a general class of discrete random composites . Acta Crystallographica A , 49 : 266 – 269 .
  • Ward , L. 2000 . The Optical Constants of Bulk Materials and Films, , 2nd edn , Bristol : Institute of Physics .
  • Frisch , U. 1970 . “ Wave propagation in random media ” . In Probabilistic Methods in Applied Mathematics , Edited by: Bharucha–Reid , A. T. Vol. 1 , 75 – 198 . London : Academic Press .
  • Ryzhov , Yu. A. and Tamoikin , V. V. 1970 . Radiation and propagation of electromagnetic waves in randomly inhomogeneous media . Radiophysics and Quantum Electronics , 14 : 228 – 233 .
  • Tsang , L. and Kong , J. A. 1981 . Scattering of electromagnetic waves from random media with strong permittivity fluctuations . Radio Science , 16 : 303 – 320 .
  • Genchev , Z. D. 1992 . Anisotropic and gyrotropic version of Polder and van Santen's mixing formula . Waves in Random Media , 2 : 99 – 110 .
  • Zhuck , N. P. 1994 . Strong-fluctuation theory for a mean electromagnetic field in a statistically homogeneous random medium with arbitrary anisotropy of electrical and statistical properties . Physical Reviw B , 50 : 15636 – 15645 .
  • Michel , B. and Lakhtakia , A. 1995 . Strong-property-fluctuation theory for homogenizing chiral particulate composites . Physical Review E , 51 : 5701 – 5707 .
  • Mackay , T. G. , Lakhtakia , A. and Weiglhofer , W. S. 2000 . Strong-property-fluctuation theory for homogenization of bianisotropic composites: formulation . Physical Review E , 62 : 6052 – 6064 . erratum 2001, 63, 049901
  • Mackay , T. G. , Lakhtakia , A. and Weiglhofer , W. S. 2001 . Third-order implementation and convergence of the strong-property-fluctuation theory in electromagnetic homogenisation . Physical Review E , 64 : 066616
  • Michel , B. 1997 . A Fourier space approach to the pointwise singularity of an anisotropic dielectric medium . International Journal of Applied Electromagnetics and Mechanics , 8 : 219 – 227 .
  • Michel , B. and Weiglhofer , W. S. 1997 . Pointwise singularity of dyadic Green function in a general bianisotropic medium . AEÜ—International Journal of Electronics and Communications , 51 : 219 – 223 . erratum 1998, 52, 31
  • Doyle , W. T. 1989 . Optical properties of a suspension of metal spheres . Physical Review B , 39 : 9852 – 9858 .
  • Dungey , C. E. and Bohren , C. F. 1991 . Light scattering by nonspherical particles: a refinement to the coupled-dipole method . Journal of the Optical Society of America A , 8 : 81 – 87 .
  • Shanker , B. and Lakhtakia , A. 1993 . Extended Maxwell–Garnett model for chiral-in-chiral composites . Journal of Physics D: Applied Physics , 26 : 1746 – 1758 .
  • Shanker , B. and Lakhtakia , A. 1993 . Extended Maxwell–Garnett formalism for composite adhesives for microwave-assisted adhesion of polymer surfaces . Journal of Composite Materials , 27 : 1203 – 1213 .
  • Prinkey , M. T. , Lakhtakia , A. and Shanker , B. 1994 . On the extended Maxwell–Garnett and the extended Bruggeman approaches for dielectric-in-dielectric composites . Optik , 96 : 25 – 30 .
  • Shanker , B. 1996 . The extended Bruggeman approach for chiral-in-chiral mixtures . Journal of Physics D: Applied Physics , 29 : 281 – 288 .
  • Mackay , T. G. 2004 . Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites . Waves in Random Media , 14 : 485 – 498 . erratum 2006. Waves in Random and Complex Media 16, 85
  • Mackay , T. G. and Lakhtakia , A. 2007 . Electromagnetic fields in linear bianisotropic mediums . Progress in Optics , (in press)
  • Weiglhofer , W. S. 1993 . Analytic methods and free-space dyadic Green's functions . Radio Science , 28 : 847 – 857 .
  • Krowne , C. M. 1984 . Electromagnetic theorems for complex anisotropic media . IEEE Transactions on Antennas and Propagation , 32 : 1224 – 1230 .
  • Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1992 . Numerical Recipes in Fortran, , 2nd edn , Cambridge : Cambridge University Press .
  • Tsang , L. , Kong , J. A. and Newton , R. W. 1982 . Application of strong fluctuation random medium theory to scattering of electromagnetic waves from a half-space of dielectric mixture . IEEE Transactions on Antennas and Propagation , 30 : 292 – 302 .
  • Mackay , T. G. , Lakhtakia , A. and Weiglhofer , W. S. 2001 . Homogenisation of similarly oriented, metallic, ellipsoidal inclusions using the bilocally approximated strong-property-fluctuation theory . Optics Communications , 107 : 89 – 95 .
  • Lax , B. and Button , K. J. 1962 . Microwave Ferrites and Ferrimagnetic , New York : McGraw-Hill .
  • Collin , R. E. 1966 . Foundations for Microwave Engineerin , New York : McGraw-Hill .
  • Lakhtakia , A. 1994 . Beltrami Fields in Chiral Medi , Singapore : World Scientific .
  • Engheta , N. , Jaggard , D. L. and Kowarz , M. W. 1992 . Electromagnetic waves in Faraday chiral media . IEEE Transactions on Antennas and Propagation , 40 : 367 – 374 .
  • Weiglhofer , W. S. and Lakhtakia , A. 1998 . The correct constitutive relations of chiroplasmas and chiroferrites . Microwave and Optical Technology Letters , 17 : 405 – 408 .
  • Weiglhofer , W. S. , Lakhtakia , A. and Michel , B. 1998 . On the constitutive parameters of a chiroferrite composite medium . Microwave and Optical Technology Letters , 18 : 342 – 345 .
  • Weiglhofer , W. S. and Mackay , T. G. 2000 . Numerical studies of the constitutive parameters of a chiroplasma composite medium . AEÜ—International Journal of Electronics and Communications , 54 : 259 – 265 .
  • Mackay , T. G. , Lakhtakia , A. and Weiglhofer , W. S. 2001 . Ellipsoidal topology, orientation diversity and correlation length in bianisotropic composite mediums . AEÜ—International Journal of Electronics and Communications , 55 : 243 – 251 .
  • van Kranendonk , J. and Sipe , J. E. 1977 . “ Foundations of the macroscopic electromagnetic theory of dielectric media ” . In Progress in Optics , Edited by: Wolf , E. Vol. XV , 245 – 350 . Amsterdam : North-Holland .
  • van de Hulst , H. C. 1981 . Light Scattering by Small Particles , New York : Dover .
  • Lakhtakia , A. and Mulholland , G. W. 1993 . On two numerical techniques for light scattering by dielectric agglomerated structures . Journal of Research of the National Institute of Standards and Technology , 98 : 699 – 716 .
  • Adleman , J. R. , Eggert , H. A. , Buse , K. and Psaltis , D. 2006 . Holographic grating formation in a colloidal suspension of silver nanoparticles . Optics Letters , 31 : 447 – 449 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.