35
Views
4
CrossRef citations to date
0
Altmetric
Articles

Lattice Sums for an Electromagnetic Scattering Problem

&
Pages 1327-1340 | Published online: 03 Apr 2012

References

  • McPhedran , R. C. , Derrick , G. H. and Botten , L. C. 1980 . “ Theory of crossed gratings ” . In Electromagnetic Theory of Gratings , Edited by: Petit , R. Berlin : Springer-Verlag . ed., No. 22 in Topics in Physics
  • Ulrich , R. 1967 . Far-infrared properties of metallic mesh and its complementary structure . Infrared Phys. , 7 : 37
  • Chen , C. C. 1970 . “ Scattering by a two-dimensional periodic array of conducting plates ” . In IEEE Trans. Antennas Propagat Vol. AP-18 , 660
  • Rayleigh , J. W. S. 1892 . On the influence of obstacles arranged in rectangular order upon the properties of a medium . Philos. Mag. , 34 : 481
  • Perrins , W. T. , McKenzie , D. R. and McPhedran , R. C. 1979 . Transport properties of regular arrays of cylinders . Proc. R. Soc. Lond. , A369 : 207
  • McPhedran , R. C. and Milton , G. W. 1987 . Transport properties of touching cylinder pairs and of the square array of touching cylinders . Proc. R. Soc. Lond. , A411 : 313
  • McPhedran , R. C. and McKenzie , D. R. 1978 . The conductivity of lattices of spheres. 1. the simple cubic lattice . Proc. R. Soc. Lond. , A359 : 45
  • Lamb , W. , Wood , D. M. and Ashcroft , N. W. 1980 . “ Long-wavelength electromagnetic propagation in heterogeneous media ” . In Phys. Rev Vol. B 21 , 2248
  • Smith , A. P. and Ashcroft , N. W. 1988 . “ Rapid convergence of lattice sums and structural integrals in ordered and disordered systems ” . In Phys. Rev Vol. B 38 , 12942
  • Ewald , P. P. 1921 . Die berechnung optischer und elektrostatischer gitterpotentiale . Ann. Phys. , 64 : 253
  • Korn , G. A. and Korn , T. M. 1968 . Mathematical Handbook for Scientists and Engineers , second , 872 – 873 . New York : McGraw Hill .
  • Watson , G. N. 1966 . A Treatise on the Theory of Bessel Functions , second ed. , Cambridge Univ. Press .
  • Prudnikov , A. P. , Brychkov , Y. A. and Marichev , O. I. 1988 . Integrals and Series , second , Vol. 2 , Gordon and Breach .
  • McPhedran , R. C. , Dawes , D. H. and Scott , T. C. 1992 . “ On a bessel function integral ” . In Applicable Algebra in Engineering, Communication and Computing in press
  • Luke , Y. L. 1962 . Integrals of Bessel Functions , McGraw Hill .
  • McPhedran , R. C. 1986 . “ Transport properties of cylinder pairs and of the square array of cylinders ” . In Proc. R. Soc. Lond Vol. A408 , 31

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.