Asymptotic Analysis of Transverse Magnetic Multiple Scattering by the Diffraction Grating of Penetrable Cylinders at Oblique Incidence
Joint Authors
Kavaklıoğlu, Ömer
Lang, Roger Henry
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-20
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We have presented a derivation of the asymptotic equations for transverse magnetic multiple scattering coefficients of an infinite grating of penetrable circular cylinders for obliquely incident plane electromagnetic waves.
We have first deducted an “Ansatz” delineating the asymptotic behavior of the transverse magnetic multiple scattering coefficients associated with the most generalized condition of oblique incidence (Kavaklıoğlu, 2000) by exploiting Schlömilch series corresponding to the special circumstance that the grating spacing is much smaller than the wavelength of the incident electromagnetic radiation.
The validity of the asymptotic equations for the aforementioned scattering coefficients has been verified by collating them with the Twersky's asymptotic equations at normal incidence.
Besides, we have deduced the consequences that the asymptotic forms of the equations at oblique incidence acquired in this paper reduce to Twersky's asymptotic forms at normal incidence by expanding the generalized scattering coefficients at oblique incidence into an asymptotic series as a function of the ratio of the cylinder radius to the grating spacing.
American Psychological Association (APA)
Kavaklıoğlu, Ömer& Lang, Roger Henry. 2011. Asymptotic Analysis of Transverse Magnetic Multiple Scattering by the Diffraction Grating of Penetrable Cylinders at Oblique Incidence. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-492769
Modern Language Association (MLA)
Kavaklıoğlu, Ömer& Lang, Roger Henry. Asymptotic Analysis of Transverse Magnetic Multiple Scattering by the Diffraction Grating of Penetrable Cylinders at Oblique Incidence. Journal of Applied Mathematics No. 2011 (2011), pp.1-30.
https://search.emarefa.net/detail/BIM-492769
American Medical Association (AMA)
Kavaklıoğlu, Ömer& Lang, Roger Henry. Asymptotic Analysis of Transverse Magnetic Multiple Scattering by the Diffraction Grating of Penetrable Cylinders at Oblique Incidence. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-492769
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492769