111
Views
36
CrossRef citations to date
0
Altmetric
Articles

The Tem Mode and Homogenization of Doubly Periodic Structures

, &
Pages 981-1012 | Published online: 03 Apr 2012

References

  • Ulrich , R. 1967 . Far-infrared properties of metallic mesh and its complementary structure . Infrared Phys. , 7 : 37 – 55 .
  • Petit , R. 1980 . Electromagnetic Theory of Gratings , Vol. 22 , Berlin : Springer-Verlag . Topics in Current Physics
  • McPhedran , R. C. , Dawes , D. H. , Botten , L. C. and Nicorovici , N. A. 1996 . On-axis diffraction by perfectly conducting capacitive grids . J. Electromagn. Waves Applic. , 10 : 1083 – 1109 .
  • Jackson , J. D. 1962 . Classical Electrodynamics , New York : Wiley .
  • Panofsky , W. K. H. and Phillips , M. 1962 . Classical Electricity and Magnetism , 2nd edn. , Reading : Addison-Wesley .
  • Snyder , A. W. 1983 . Optical Waveguide Theory , London : Chapman and Hall .
  • Simon , R. , Whinnery , J. R. and van Duzer , T. 1984 . Fields and Waves in Communication Electronics , New York : Wiley .
  • Van Bladel , J. 1985 . Electromagnetic Fields , Washington : Hemisphere .
  • Collin , R. E. 1990 . Field Theory of Guided Waves , 2nd edn. , New York : IEEE Press .
  • McPhedran , R. C. , Dawes , D. H. and Botten , L. C. 1993 . “ A modal formulation for the diffraction by thick capacitive grids ” . In Progress in Electromagnetic Research Symposium 710 PIERS
  • Botten L. C. , McPhedran R. C. , and N. A. Nicorovici , “ Diffraction of off-axis plane waves by thick capacitive grids ” , in Progress in Electromagnetic Research Symposium ( PIERS ), Arbesser-Rastburg B. et al. , eds., Dordrecht , Kluwer , 1994 , on CD-ROM .
  • Botten , L. C. , McPhedran , R. C. and Nicorovici , N. A. 1995 . “ Modelling of interferometric properties of multiple capacitive grids ” . In Progress in Electromagnetic Research Symposium 255 PIERS
  • McPhedran , R. C. , Botten , L. C. and Nicorovici , N. A. 1996 . “ The TEM mode as the quasistatic limit of the TE mode ” . In Progress in Electromagnetic Research Symposium 11 PIERS
  • Botten , L. C. , McPhedran , R. C. and Nicorovici , N. A. 1996 . “ Analytic properties of modal formulations for the diffraction properties of one-and two-dimensional periodic media ” . In Progress in Electromagnetic Research Symposium 95 PIERS
  • Nicorovici , N. A. , McPhedran , R. C. and Botten , L. C. 1996 . “ Photonic band gaps for square and hexagonal arrays of perfectly conducting cylinders ” . In Progress in Electromagnetic Research Symposium 97 PIERS
  • McPhedran , R. C. and Dawes , D. H. 1992 . Lattice sums for an electromagnetic scattering problem . J. Electromagn. Waves Applic. , 6 : 1327 – 1340 .
  • Chin , S. K. , Nicorovici , N. A. and McPhedran , R. C. 1994 . Green's function and lattice sums for electromagnetic scattering by a square array of perfectly conducting cylinders . Phys. Rev. E , 49 : 4590 – 4602 .
  • Nicorovici , N. A. , McPhedran , R. C. and Botten , L. C. 1995 . Photonic band gaps for arrays of perfectly conducting cylinders . Phys. Rev. E , 52 : 1135 – 1145 .
  • Rayleigh , J. W. S. 1892 . On the influence of obstacles arranged in rectangular order upon the properties of a medium . Philos. Mag. , 34 : 481 – 502 .
  • McPhedran , R. C. and McKenzie , D. R. 1980 . Electrostatic and optical resonances of arrays of cylinders . Appl. Phys. , 23 : 223 – 235 .
  • Perrins , W. T. , McKenzie , D. R. and McPhedran , R. C. 1979 . Transport properties of regular arrays of cylinders . Proc. R. Soc. Lond. , A369 : 207 – 225 .
  • Abramowitz , M. and Stegun , I. A. 1972 . Handbook of Mathematical Functions , New York : Dover .
  • Nicorovici , N. A. , McPhedran , R. C. and Botten , L. C. 1995 . Photonic band gaps: non-commuting limits and the acoustic band . Phys. Rev. Lett. , 75 : 1507 – 1510 .
  • McPhedran , R. C. , Poulton , C. G. , Nicorovici , N. A. and Movchan , A. B. 1996 . Low frequency corrections to the static effective dielectric constant of a two dimensional composite material . Proc. R. Soc. Lond. , A452 : 2231 – 2245 .
  • Keller , J. B. 1964 . A theorem on the conductivity of a composite medium . J. Math. Phys. , 5 : 548 – 549 .
  • Grüning , U. , Lehmann , V. , Ottow , S. and Busch , K. 1996 . Macroporous silicon with a complete two-dimensional photonic band gap centered at 5μ m . Appl. Phys. Lett. , 68 : 747 – 749 .
  • Krokhin , A. A. , Arriaga , J. and Halevi , P. 1996 . “ Speed of light in a 2D photonic crystal in the low-frequency limit ” . In The Fourth Int. Conf. on Electrical, Transport and Optical Properties of Inhomogeneous Media 21 ETOPIM4
  • Smith , D. R. , Schultz , S. , Kroll , N. , Sigalas , M. , Ho , K. M. and Soukoulis , C. M. 1994 . Experimental and theoretical results for a two-dimensional metal photonic band-gap cavity . Appl. Phys. Lett. , 65 : 645 – 647 .
  • Lin , S. Y. and Arjavalingam , G. 1993 . Tunneling of electromagnetic waves in two-dimensional photonic crystals . Opt. Lett. , 18 : 1666 – 1668 .
  • Knight , J. C. , Birks , T. A. , Atkin , D. M. and Russell , P. St. J. 1996 . Pure silica single-mode fiber with hexagonal photonic crystal cladding . Opt. Photonics News , 7 ( No. 5 ) : 45

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.