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Exact Matrix Representation of the Transverse Magnetic Multiple Scattering of Obliquely Incident Plane Waves by the Diffraction Grating of Penetrable Cylinders

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  • Ömer Kavaklıoğlu
  • Roger Henry Lang

Abstract

“ An exact matrix conformation model ” associated with the equations describing the exact behavior of the Fourier-Bessel multiple scattering coefficients of the diffraction grating consisting of an infinite number of infinitely long parallel penetrable circular cylinders, corresponding to the obliquely incident transverse-magnetic plane waves in “ Twersky-Wait-Kavaklıoğlu representation ,” originally excogitated in (Kavaklıoğlu, 2000), is acquired, and the exact solution for “ the Fourier-Bessel multiple scattering coefficients of the diffraction grating at oblique incidence ” is obtained by a matrix inversion procedure.

Suggested Citation

  • Ömer Kavaklıoğlu & Roger Henry Lang, 2012. "Exact Matrix Representation of the Transverse Magnetic Multiple Scattering of Obliquely Incident Plane Waves by the Diffraction Grating of Penetrable Cylinders," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, July.
    • Handle: RePEc:hin:jnljam:371729
    DOI: 10.1155/2012/371729
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