volume | PIER Journals

2011-06-22

Spectral-Domain Formulation of Electromagnetic Scattering from Circular Cylinders Located Near Periodic Cylinder Array

Koki Watanabe,

Prof. Koki Watanabe

Department of Information and Communication Engineering

Fukuoka Institute of Technology

Japan

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Yoshimasa Nakatake

Mr. Yoshimasa Nakatake

Graduate School of Engineering

Fukuoka Institute of Technology

Japan

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Progress In Electromagnetics Research B, Vol. 31, 219-237, 2011

doi:10.2528/PIERB11052504 | Google Scholar

Abstract

This paper considers a periodic circular cylinder array with additional cylinders and formulates the electromagnetic scattering problem of this imperfectly periodic structure. Generally, the fields in imperfectly periodic structures have continuous spectra, and the spectral-domain approaches require appropriate discretization schemes in many cases. The present formulation is based on the pseudo-periodic Fourier transform and the discretization scheme can be considered only inside the Brillouin zone.

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Koki Watanabe, and Yoshimasa Nakatake, "Spectral-Domain Formulation of Electromagnetic Scattering from Circular Cylinders Located Near Periodic Cylinder Array," Progress In Electromagnetics Research B, Vol. 31, 219-237, 2011.
doi:10.2528/PIERB11052504

References

1. Petit, R., Electromagnetic Theory of Gratings,, Springer Springer, 1980.
doi:10.1007/978-3-642-81500-3

2. Watanabe, K. and K. Yasumoto, "Two-dimensional electromagnetic scattering of non-plane incident waves by periodic structures," Progress In Electromagnetics Research, Vol. 74, 241-271, 2007.
doi:10.2528/PIER07050902 Google Scholar

3. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, 1990.

4. Roussel, H., W. C. Chew, F. Jouvie, and W. Tabbara, "Electromagnetic scattering from dielectric and magnetic gratings of fibers --- a T-matrix solution," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 1, 109-127, 1996.
doi:10.1163/156939396X00252 Google Scholar

5. Yasumoto, K. and K. Yoshitomi, "E±cient calculation of lattice sums for free-space periodic Green's function," IEEE Trans. Antennas Propagat., Vol. 47, No. 6, 1050-1055, 1999.
doi:10.1109/8.777130 Google Scholar

6. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York.